$dx^0 = c dt, \partial_0 = \frac{1}{c} \partial_t$
using ADM metric:
${{ \beta} ^i} = {\overset{i\downarrow}{\left[ \begin{matrix} { \beta} ^x \\ { \beta} ^y \\ { \beta} ^z\end{matrix} \right]}}$
${{ \beta} _i} = {\overset{i\downarrow}{\left[ \begin{matrix} { \beta} _x \\ { \beta} _y \\ { \beta} _z\end{matrix} \right]}}$
${{\beta}^{2}} = {{{{{ \beta} ^x}} {{{ \beta} _x}}} + {{{{ \beta} ^y}} {{{ \beta} _y}}} + {{{{ \beta} ^z}} {{{ \beta} _z}}}}$
${{{ \gamma} _i} _j} = {\overset{i\downarrow j\rightarrow}{\left[ \begin{matrix} {{ \gamma} _x} _x & {{ \gamma} _x} _y & {{ \gamma} _x} _z \\ {{ \gamma} _x} _y & {{ \gamma} _y} _y & {{ \gamma} _y} _z \\ {{ \gamma} _x} _z & {{ \gamma} _y} _z & {{ \gamma} _z} _z\end{matrix} \right]}}$
${{{ \gamma} _i} _j} = {\overset{i\downarrow j\rightarrow}{\left[ \begin{matrix} {{ \gamma} _x} _x & {{ \gamma} _x} _y & {{ \gamma} _x} _z \\ {{ \gamma} _x} _y & {{ \gamma} _y} _y & {{ \gamma} _y} _z \\ {{ \gamma} _x} _z & {{ \gamma} _y} _z & {{ \gamma} _z} _z\end{matrix} \right]}}$
${{{ \gamma} ^i} ^j} = {\overset{i\downarrow j\rightarrow}{\left[ \begin{matrix} {{ \gamma} ^x} ^x & {{ \gamma} ^x} ^y & {{ \gamma} ^x} ^z \\ {{ \gamma} ^x} ^y & {{ \gamma} ^y} ^y & {{ \gamma} ^y} ^z \\ {{ \gamma} ^x} ^z & {{ \gamma} ^y} ^z & {{ \gamma} ^z} ^z\end{matrix} \right]}}$
${{{ g} _a} _b} = {\overset{a\downarrow b\rightarrow}{\left[ \begin{matrix} {-{{\alpha}^{2}}} + {{\beta}^{2}} & { \beta} _x & { \beta} _y & { \beta} _z \\ { \beta} _x & {{ \gamma} _x} _x & {{ \gamma} _x} _y & {{ \gamma} _x} _z \\ { \beta} _y & {{ \gamma} _x} _y & {{ \gamma} _y} _y & {{ \gamma} _y} _z \\ { \beta} _z & {{ \gamma} _x} _z & {{ \gamma} _y} _z & {{ \gamma} _z} _z\end{matrix} \right]}}$
${{{ g} ^a} ^b} = {gU}$
${{ n} _a} = {\overset{a\downarrow}{\left[ \begin{matrix} -{\alpha} \\ 0 \\ 0 \\ 0\end{matrix} \right]}}$
four-potential as a one-form:
${{ A} _a} = {\overset{a\downarrow}{\left[ \begin{matrix} {\frac{1}{c}} {\phi} \\ {A_{x}} \\ {A_{y}} \\ {A_{z}}\end{matrix} \right]}}$
$F = dA$
${{{ F} _a} _b} = {\overset{d\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{x}}_{,{{0}}}}}}} + { \phi_{,{{x}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{y}}_{,{{0}}}}}}} + { \phi_{,{{y}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{z}}_{,{{0}}}}}}} + { \phi_{,{{z}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{x}}_{,{{0}}}}}} - { \phi_{,{{x}}}}}\right)} & 0 & {-{ {A_{y}}_{,{{x}}}}} + { {A_{x}}_{,{{y}}}} & {-{ {A_{z}}_{,{{x}}}}} + { {A_{x}}_{,{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{y}}_{,{{0}}}}}} - { \phi_{,{{y}}}}}\right)} & {-{ {A_{x}}_{,{{y}}}}} + { {A_{y}}_{,{{x}}}} & 0 & {-{ {A_{z}}_{,{{y}}}}} + { {A_{y}}_{,{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{z}}_{,{{0}}}}}} - { \phi_{,{{z}}}}}\right)} & {-{ {A_{x}}_{,{{z}}}}} + { {A_{z}}_{,{{x}}}} & {-{ {A_{y}}_{,{{z}}}}} + { {A_{z}}_{,{{y}}}} & 0\end{matrix} \right]}}$
$\partial_a F_{bc}$:
${{{{ F} _b} _c} _{,a}} = {\overset{a\downarrow[{b\downarrow c\rightarrow}]}{\left[ \begin{matrix} \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{x}}_{,{{0}}{{0}}}}}}} + { \phi_{,{{0}}{{x}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{y}}_{,{{0}}{{0}}}}}}} + { \phi_{,{{0}}{{y}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{z}}_{,{{0}}{{0}}}}}}} + { \phi_{,{{0}}{{z}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{x}}_{,{{0}}{{0}}}}}} - { \phi_{,{{0}}{{x}}}}}\right)} & 0 & {-{ {A_{y}}_{,{{0}}{{x}}}}} + { {A_{x}}_{,{{0}}{{y}}}} & {-{ {A_{z}}_{,{{0}}{{x}}}}} + { {A_{x}}_{,{{0}}{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{y}}_{,{{0}}{{0}}}}}} - { \phi_{,{{0}}{{y}}}}}\right)} & {-{ {A_{x}}_{,{{0}}{{y}}}}} + { {A_{y}}_{,{{0}}{{x}}}} & 0 & {-{ {A_{z}}_{,{{0}}{{y}}}}} + { {A_{y}}_{,{{0}}{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{z}}_{,{{0}}{{0}}}}}} - { \phi_{,{{0}}{{z}}}}}\right)} & {-{ {A_{x}}_{,{{0}}{{z}}}}} + { {A_{z}}_{,{{0}}{{x}}}} & {-{ {A_{y}}_{,{{0}}{{z}}}}} + { {A_{z}}_{,{{0}}{{y}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{x}}_{,{{0}}{{x}}}}}}} + { \phi_{,{{x}}{{x}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{y}}_{,{{0}}{{x}}}}}}} + { \phi_{,{{x}}{{y}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{z}}_{,{{0}}{{x}}}}}}} + { \phi_{,{{x}}{{z}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{x}}_{,{{0}}{{x}}}}}} - { \phi_{,{{x}}{{x}}}}}\right)} & 0 & {-{ {A_{y}}_{,{{x}}{{x}}}}} + { {A_{x}}_{,{{x}}{{y}}}} & {-{ {A_{z}}_{,{{x}}{{x}}}}} + { {A_{x}}_{,{{x}}{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{y}}_{,{{0}}{{x}}}}}} - { \phi_{,{{x}}{{y}}}}}\right)} & {-{ {A_{x}}_{,{{x}}{{y}}}}} + { {A_{y}}_{,{{x}}{{x}}}} & 0 & {-{ {A_{z}}_{,{{x}}{{y}}}}} + { {A_{y}}_{,{{x}}{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{z}}_{,{{0}}{{x}}}}}} - { \phi_{,{{x}}{{z}}}}}\right)} & {-{ {A_{x}}_{,{{x}}{{z}}}}} + { {A_{z}}_{,{{x}}{{x}}}} & {-{ {A_{y}}_{,{{x}}{{z}}}}} + { {A_{z}}_{,{{x}}{{y}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{x}}_{,{{0}}{{y}}}}}}} + { \phi_{,{{x}}{{y}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{y}}_{,{{0}}{{y}}}}}}} + { \phi_{,{{y}}{{y}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{z}}_{,{{0}}{{y}}}}}}} + { \phi_{,{{y}}{{z}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{x}}_{,{{0}}{{y}}}}}} - { \phi_{,{{x}}{{y}}}}}\right)} & 0 & {-{ {A_{y}}_{,{{x}}{{y}}}}} + { {A_{x}}_{,{{y}}{{y}}}} & {-{ {A_{z}}_{,{{x}}{{y}}}}} + { {A_{x}}_{,{{y}}{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{y}}_{,{{0}}{{y}}}}}} - { \phi_{,{{y}}{{y}}}}}\right)} & {-{ {A_{x}}_{,{{y}}{{y}}}}} + { {A_{y}}_{,{{x}}{{y}}}} & 0 & {-{ {A_{z}}_{,{{y}}{{y}}}}} + { {A_{y}}_{,{{y}}{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{z}}_{,{{0}}{{y}}}}}} - { \phi_{,{{y}}{{z}}}}}\right)} & {-{ {A_{x}}_{,{{y}}{{z}}}}} + { {A_{z}}_{,{{x}}{{y}}}} & {-{ {A_{y}}_{,{{y}}{{z}}}}} + { {A_{z}}_{,{{y}}{{y}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{x}}_{,{{0}}{{z}}}}}}} + { \phi_{,{{x}}{{z}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{y}}_{,{{0}}{{z}}}}}}} + { \phi_{,{{y}}{{z}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{ {A_{z}}_{,{{0}}{{z}}}}}}} + { \phi_{,{{z}}{{z}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{x}}_{,{{0}}{{z}}}}}} - { \phi_{,{{x}}{{z}}}}}\right)} & 0 & {-{ {A_{y}}_{,{{x}}{{z}}}}} + { {A_{x}}_{,{{y}}{{z}}}} & {-{ {A_{z}}_{,{{x}}{{z}}}}} + { {A_{x}}_{,{{z}}{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{y}}_{,{{0}}{{z}}}}}} - { \phi_{,{{y}}{{z}}}}}\right)} & {-{ {A_{x}}_{,{{y}}{{z}}}}} + { {A_{y}}_{,{{x}}{{z}}}} & 0 & {-{ {A_{z}}_{,{{y}}{{z}}}}} + { {A_{y}}_{,{{z}}{{z}}}} \\ {\frac{1}{c}}{\left({{{{c}} {{ {A_{z}}_{,{{0}}{{z}}}}}} - { \phi_{,{{z}}{{z}}}}}\right)} & {-{ {A_{x}}_{,{{z}}{{z}}}}} + { {A_{z}}_{,{{x}}{{z}}}} & {-{ {A_{y}}_{,{{z}}{{z}}}}} + { {A_{z}}_{,{{y}}{{z}}}} & 0\end{matrix} \right]}\end{matrix} \right]}}$
$dF = d^2 A$
${{{{ dF} _a} _b} _c} = {\overset{a\downarrow[{b\downarrow c\rightarrow}]}{\left[ \begin{matrix} \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0\end{matrix} \right]}\end{matrix} \right]}}$
$\star d^2 A = \star d F$
${{ \star dF} _a} = {\overset{a\downarrow}{\left[ \begin{matrix} 0 \\ 0 \\ 0 \\ 0\end{matrix} \right]}}$

---

redo the whole thing except use variables for $F_{ab}$
${{{ F} _a} _b} = {\overset{a\downarrow b\rightarrow}{\left[ \begin{matrix} 0 & {F_{{0x}}} & {F_{{0y}}} & {F_{{0z}}} \\ -{{F_{{0x}}}} & 0 & {F_{{xy}}} & {F_{{xz}}} \\ -{{F_{{0y}}}} & -{{F_{{xy}}}} & 0 & {F_{{yz}}} \\ -{{F_{{0z}}}} & -{{F_{{xz}}}} & -{{F_{{yz}}}} & 0\end{matrix} \right]}}$
${{{{ F} _b} _c} _{,a}} = {\overset{a\downarrow[{b\downarrow c\rightarrow}]}{\left[ \begin{matrix} \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {F_{{0x}}}_{,{{0}}} & {F_{{0y}}}_{,{{0}}} & {F_{{0z}}}_{,{{0}}} \\ -{ {F_{{0x}}}_{,{{0}}}} & 0 & {F_{{xy}}}_{,{{0}}} & {F_{{xz}}}_{,{{0}}} \\ -{ {F_{{0y}}}_{,{{0}}}} & -{ {F_{{xy}}}_{,{{0}}}} & 0 & {F_{{yz}}}_{,{{0}}} \\ -{ {F_{{0z}}}_{,{{0}}}} & -{ {F_{{xz}}}_{,{{0}}}} & -{ {F_{{yz}}}_{,{{0}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {F_{{0x}}}_{,{{x}}} & {F_{{0y}}}_{,{{x}}} & {F_{{0z}}}_{,{{x}}} \\ -{ {F_{{0x}}}_{,{{x}}}} & 0 & {F_{{xy}}}_{,{{x}}} & {F_{{xz}}}_{,{{x}}} \\ -{ {F_{{0y}}}_{,{{x}}}} & -{ {F_{{xy}}}_{,{{x}}}} & 0 & {F_{{yz}}}_{,{{x}}} \\ -{ {F_{{0z}}}_{,{{x}}}} & -{ {F_{{xz}}}_{,{{x}}}} & -{ {F_{{yz}}}_{,{{x}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {F_{{0x}}}_{,{{y}}} & {F_{{0y}}}_{,{{y}}} & {F_{{0z}}}_{,{{y}}} \\ -{ {F_{{0x}}}_{,{{y}}}} & 0 & {F_{{xy}}}_{,{{y}}} & {F_{{xz}}}_{,{{y}}} \\ -{ {F_{{0y}}}_{,{{y}}}} & -{ {F_{{xy}}}_{,{{y}}}} & 0 & {F_{{yz}}}_{,{{y}}} \\ -{ {F_{{0z}}}_{,{{y}}}} & -{ {F_{{xz}}}_{,{{y}}}} & -{ {F_{{yz}}}_{,{{y}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {F_{{0x}}}_{,{{z}}} & {F_{{0y}}}_{,{{z}}} & {F_{{0z}}}_{,{{z}}} \\ -{ {F_{{0x}}}_{,{{z}}}} & 0 & {F_{{xy}}}_{,{{z}}} & {F_{{xz}}}_{,{{z}}} \\ -{ {F_{{0y}}}_{,{{z}}}} & -{ {F_{{xy}}}_{,{{z}}}} & 0 & {F_{{yz}}}_{,{{z}}} \\ -{ {F_{{0z}}}_{,{{z}}}} & -{ {F_{{xz}}}_{,{{z}}}} & -{ {F_{{yz}}}_{,{{z}}}} & 0\end{matrix} \right]}\end{matrix} \right]}}$
$d^2 A = 0$ in terms of $F_{ab}$
${{{{ dF} _a} _b} _c} = {\overset{a\downarrow[{b\downarrow c\rightarrow}]}{\left[ \begin{matrix} \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & 0 & 0 \\ 0 & 0 & {{2}} {{\left({{{ {F_{{0x}}}_{,{{y}}}} - { {F_{{0y}}}_{,{{x}}}}} + { {F_{{xy}}}_{,{{0}}}}}\right)}} & {{2}} {{\left({{{ {F_{{0x}}}_{,{{z}}}} - { {F_{{0z}}}_{,{{x}}}}} + { {F_{{xz}}}_{,{{0}}}}}\right)}} \\ 0 & {{2}} {{\left({{-{ {F_{{0x}}}_{,{{y}}}}} + {{ {F_{{0y}}}_{,{{x}}}} - { {F_{{xy}}}_{,{{0}}}}}}\right)}} & 0 & {{2}} {{\left({{{ {F_{{0y}}}_{,{{z}}}} - { {F_{{0z}}}_{,{{y}}}}} + { {F_{{yz}}}_{,{{0}}}}}\right)}} \\ 0 & {{2}} {{\left({{-{ {F_{{0x}}}_{,{{z}}}}} + {{ {F_{{0z}}}_{,{{x}}}} - { {F_{{xz}}}_{,{{0}}}}}}\right)}} & {{2}} {{\left({{-{ {F_{{0y}}}_{,{{z}}}}} + {{ {F_{{0z}}}_{,{{y}}}} - { {F_{{yz}}}_{,{{0}}}}}}\right)}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & {{2}} {{\left({{-{ {F_{{0x}}}_{,{{y}}}}} + {{ {F_{{0y}}}_{,{{x}}}} - { {F_{{xy}}}_{,{{0}}}}}}\right)}} & {{2}} {{\left({{-{ {F_{{0x}}}_{,{{z}}}}} + {{ {F_{{0z}}}_{,{{x}}}} - { {F_{{xz}}}_{,{{0}}}}}}\right)}} \\ 0 & 0 & 0 & 0 \\ {{2}} {{\left({{{ {F_{{0x}}}_{,{{y}}}} - { {F_{{0y}}}_{,{{x}}}}} + { {F_{{xy}}}_{,{{0}}}}}\right)}} & 0 & 0 & {{2}} {{\left({{{ {F_{{xy}}}_{,{{z}}}} - { {F_{{xz}}}_{,{{y}}}}} + { {F_{{yz}}}_{,{{x}}}}}\right)}} \\ {{2}} {{\left({{{ {F_{{0x}}}_{,{{z}}}} - { {F_{{0z}}}_{,{{x}}}}} + { {F_{{xz}}}_{,{{0}}}}}\right)}} & 0 & {{2}} {{\left({{-{ {F_{{xy}}}_{,{{z}}}}} + {{ {F_{{xz}}}_{,{{y}}}} - { {F_{{yz}}}_{,{{x}}}}}}\right)}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {{2}} {{\left({{{ {F_{{0x}}}_{,{{y}}}} - { {F_{{0y}}}_{,{{x}}}}} + { {F_{{xy}}}_{,{{0}}}}}\right)}} & 0 & {{2}} {{\left({{-{ {F_{{0y}}}_{,{{z}}}}} + {{ {F_{{0z}}}_{,{{y}}}} - { {F_{{yz}}}_{,{{0}}}}}}\right)}} \\ {{2}} {{\left({{-{ {F_{{0x}}}_{,{{y}}}}} + {{ {F_{{0y}}}_{,{{x}}}} - { {F_{{xy}}}_{,{{0}}}}}}\right)}} & 0 & 0 & {{2}} {{\left({{-{ {F_{{xy}}}_{,{{z}}}}} + {{ {F_{{xz}}}_{,{{y}}}} - { {F_{{yz}}}_{,{{x}}}}}}\right)}} \\ 0 & 0 & 0 & 0 \\ {{2}} {{\left({{{ {F_{{0y}}}_{,{{z}}}} - { {F_{{0z}}}_{,{{y}}}}} + { {F_{{yz}}}_{,{{0}}}}}\right)}} & {{2}} {{\left({{{ {F_{{xy}}}_{,{{z}}}} - { {F_{{xz}}}_{,{{y}}}}} + { {F_{{yz}}}_{,{{x}}}}}\right)}} & 0 & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {{2}} {{\left({{{ {F_{{0x}}}_{,{{z}}}} - { {F_{{0z}}}_{,{{x}}}}} + { {F_{{xz}}}_{,{{0}}}}}\right)}} & {{2}} {{\left({{{ {F_{{0y}}}_{,{{z}}}} - { {F_{{0z}}}_{,{{y}}}}} + { {F_{{yz}}}_{,{{0}}}}}\right)}} & 0 \\ {{2}} {{\left({{-{ {F_{{0x}}}_{,{{z}}}}} + {{ {F_{{0z}}}_{,{{x}}}} - { {F_{{xz}}}_{,{{0}}}}}}\right)}} & 0 & {{2}} {{\left({{{ {F_{{xy}}}_{,{{z}}}} - { {F_{{xz}}}_{,{{y}}}}} + { {F_{{yz}}}_{,{{x}}}}}\right)}} & 0 \\ {{2}} {{\left({{-{ {F_{{0y}}}_{,{{z}}}}} + {{ {F_{{0z}}}_{,{{y}}}} - { {F_{{yz}}}_{,{{0}}}}}}\right)}} & {{2}} {{\left({{-{ {F_{{xy}}}_{,{{z}}}}} + {{ {F_{{xz}}}_{,{{y}}}} - { {F_{{yz}}}_{,{{x}}}}}}\right)}} & 0 & 0 \\ 0 & 0 & 0 & 0\end{matrix} \right]}\end{matrix} \right]}}$
$\star d^2 A = \star d F$
${{{ \star dF} ^a} = {\overset{a\downarrow}{\left[ \begin{matrix} {\frac{1}{\alpha}} {{{2}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{\left({{{ {F_{{xy}}}_{,{{z}}}} - { {F_{{xz}}}_{,{{y}}}}} + { {F_{{yz}}}_{,{{x}}}}}\right)}}} \\ {\frac{1}{\alpha}} {{{2}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{\left({{-{ {F_{{0y}}}_{,{{z}}}}} + {{ {F_{{0z}}}_{,{{y}}}} - { {F_{{yz}}}_{,{{0}}}}}}\right)}}} \\ {\frac{1}{\alpha}} {{{2}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{\left({{{ {F_{{0x}}}_{,{{z}}}} - { {F_{{0z}}}_{,{{x}}}}} + { {F_{{xz}}}_{,{{0}}}}}\right)}}} \\ {\frac{1}{\alpha}} {{{2}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{\left({{-{ {F_{{0x}}}_{,{{y}}}}} + {{ {F_{{0y}}}_{,{{x}}}} - { {F_{{xy}}}_{,{{0}}}}}}\right)}}}\end{matrix} \right]}}} = {\overset{a\downarrow}{\left[ \begin{matrix} 0 \\ 0 \\ 0 \\ 0\end{matrix} \right]}}$

---

now redo the whole thing except use $E_i$ and $B_i$
${{ E} _a} = {\overset{a\downarrow}{\left[ \begin{matrix} 0 \\ {E_{x}} \\ {E_{y}} \\ {E_{z}}\end{matrix} \right]}}$
${{ B} _a} = {\overset{a\downarrow}{\left[ \begin{matrix} 0 \\ {B_{x}} \\ {B_{y}} \\ {B_{z}}\end{matrix} \right]}}$
${{{ F} _a} _b} = {{{{{\frac{1}{c}}} {{{ n} _a}} {{{ E} _b}}} - {{{\frac{1}{c}}} {{{ E} _a}} {{{ n} _b}}}} + {{{{ n} ^c}} {{{ B} ^d}} {{{{{{ \epsilon} _c} _d} _a} _b}}}}$
${{{ F} _a} _b} = {\overset{a\downarrow b\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{E_{x}}}} \cdot {{\alpha}}}}}\right)} & {\frac{1}{c}}{\left({{{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}}} + {{{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}}}} - {{{{E_{y}}}} \cdot {{\alpha}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}}} - {{{{E_{z}}}} \cdot {{\alpha}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{E_{x}}}} \cdot {{\alpha}}}}\right)} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{B_{x}}}} \cdot {{{{ \gamma} ^x} ^z}}} + {{{{B_{y}}}} \cdot {{{{ \gamma} ^y} ^z}}} + {{{{B_{z}}}} \cdot {{{{ \gamma} ^z} ^z}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{B_{x}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{B_{y}}}} \cdot {{{{ \gamma} ^y} ^y}}} + {{{{B_{z}}}} \cdot {{{{ \gamma} ^y} ^z}}}}\right)}}} \\ {\frac{1}{c}}{\left({{-{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}}} + {{{{E_{y}}}} \cdot {{\alpha}}}}\right)} & -{{{\sqrt{\gamma}}} {{\left({{{{{B_{x}}}} \cdot {{{{ \gamma} ^x} ^z}}} + {{{{B_{y}}}} \cdot {{{{ \gamma} ^y} ^z}}} + {{{{B_{z}}}} \cdot {{{{ \gamma} ^z} ^z}}}}\right)}}} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{B_{x}}}} \cdot {{{{ \gamma} ^x} ^x}}} + {{{{B_{y}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{B_{z}}}} \cdot {{{{ \gamma} ^x} ^z}}}}\right)}} \\ {\frac{1}{c}}{\left({{{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}}}} + {{{{E_{z}}}} \cdot {{\alpha}}}}\right)} & {{\sqrt{\gamma}}} {{\left({{{{{B_{x}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{B_{y}}}} \cdot {{{{ \gamma} ^y} ^y}}} + {{{{B_{z}}}} \cdot {{{{ \gamma} ^y} ^z}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{B_{x}}}} \cdot {{{{ \gamma} ^x} ^x}}} + {{{{B_{y}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{B_{z}}}} \cdot {{{{ \gamma} ^x} ^z}}}}\right)}}} & 0\end{matrix} \right]}}$
${{{ F} _a} ^b} = {\overset{a\downarrow b\rightarrow}{\left[ \begin{matrix} -{\frac{{{{{E_{x}}}} \cdot {{{ \beta} ^x}}} + {{{{E_{y}}}} \cdot {{{ \beta} ^y}}} + {{{{E_{z}}}} \cdot {{{ \beta} ^z}}}}{{{\alpha}} \cdot {{c}}}} & \frac{{-{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} - {{{{E_{z}}}} \cdot {{{{ \gamma} ^x} ^z}} {{{\alpha}^{3}}}}} + {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}} {{{ \beta} ^z}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} + {{{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{E_{y}}}} \cdot {{{{ \gamma} ^x} ^y}} {{{\alpha}^{3}}}}} + {{{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}} {{{ \beta} ^y}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^x}} {{{\alpha}^{3}}}}} + {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{{ \beta} ^x}^{2}}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{-{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{E_{z}}}} \cdot {{{{ \gamma} ^y} ^z}} {{{\alpha}^{3}}}}} + {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^y}} {{{ \beta} ^z}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^y}} {{{\alpha}^{3}}}}} + {{{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{{ \beta} ^y}^{2}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^y}} {{{\alpha}^{3}}}}} + {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}} {{{ \beta} ^y}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{-{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{E_{z}}}} \cdot {{{{ \gamma} ^z} ^z}} {{{\alpha}^{3}}}}} + {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{{ \beta} ^z}^{2}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^z}} {{{\alpha}^{3}}}}} + {{{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^y}} {{{ \beta} ^z}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^z}} {{{\alpha}^{3}}}}} + {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}} {{{ \beta} ^z}}}}{{{c}} {{{\alpha}^{2}}}} \\ -{\frac{{E_{x}}}{{{\alpha}} \cdot {{c}}}} & \frac{{{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{E_{x}}}} \cdot {{{ \beta} ^x}}}}{{{\alpha}} \cdot {{c}}} & \frac{{{-{{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{B_{z}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} + {{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^y}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{{-{{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{B_{y}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} + {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^z}}}}{{{c}} {{{\alpha}^{2}}}} \\ -{\frac{{E_{y}}}{{{\alpha}} \cdot {{c}}}} & \frac{{{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{{{B_{z}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} - {{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{{{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} + {{{{E_{y}}}} \cdot {{{ \beta} ^y}}}}{{{\alpha}} \cdot {{c}}} & \frac{{{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} - {{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^z}}}}{{{c}} {{{\alpha}^{2}}}} \\ -{\frac{{E_{z}}}{{{\alpha}} \cdot {{c}}}} & \frac{{{-{{{{B_{y}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} - {{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{{-{{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{B_{x}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} + {{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^y}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{-{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}}} + {{{{E_{z}}}} \cdot {{{ \beta} ^z}}}}{{{\alpha}} \cdot {{c}}}\end{matrix} \right]}}$
${{{ F} ^a} _b} = {\overset{a\downarrow b\rightarrow}{\left[ \begin{matrix} \frac{{{{{E_{x}}}} \cdot {{{ \beta} ^x}}} + {{{{E_{y}}}} \cdot {{{ \beta} ^y}}} + {{{{E_{z}}}} \cdot {{{ \beta} ^z}}}}{{{\alpha}} \cdot {{c}}} & \frac{{E_{x}}}{{{\alpha}} \cdot {{c}}} & \frac{{E_{y}}}{{{\alpha}} \cdot {{c}}} & \frac{{E_{z}}}{{{\alpha}} \cdot {{c}}} \\ \frac{{{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} + {{{{{{E_{z}}}} \cdot {{{{ \gamma} ^x} ^z}} {{{\alpha}^{3}}}} - {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}} {{{ \beta} ^z}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{{E_{y}}}} \cdot {{{{ \gamma} ^x} ^y}} {{{\alpha}^{3}}}} - {{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}} {{{ \beta} ^y}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^x}} {{{\alpha}^{3}}}} - {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{{ \beta} ^x}^{2}}}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{-{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^x}}}}}{{{\alpha}} \cdot {{c}}} & \frac{{{-{{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{B_{z}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} + {{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{{{{B_{y}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} + {{{{{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}}}}}{{{c}} {{{\alpha}^{2}}}} \\ \frac{{{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{{E_{z}}}} \cdot {{{{ \gamma} ^y} ^z}} {{{\alpha}^{3}}}} - {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^y}} {{{ \beta} ^z}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^y}} {{{\alpha}^{3}}}} - {{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{{ \beta} ^y}^{2}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} + {{{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^y}} {{{\alpha}^{3}}}} - {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}} {{{ \beta} ^y}}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{{{{B_{z}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} - {{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^y}}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{-{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}}} + {{{{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^y}}}}}{{{\alpha}} \cdot {{c}}} & \frac{{{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} - {{{{B_{z}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^y}}}}}{{{c}} {{{\alpha}^{2}}}} \\ \frac{{{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{{E_{z}}}} \cdot {{{{ \gamma} ^z} ^z}} {{{\alpha}^{3}}}} - {{{{E_{z}}}} \cdot {{\alpha}} \cdot {{{{ \beta} ^z}^{2}}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^x}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} + {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^z}} {{{\alpha}^{3}}}} - {{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^y}} {{{ \beta} ^z}}}} + {{{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} - {{{{B_{x}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^z}} {{{\alpha}^{3}}}} - {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^x}} {{{ \beta} ^z}}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} + {{{{{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{B_{y}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} - {{{{E_{x}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^z}}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{{-{{{{B_{x}}}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} - {{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^z} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}}} + {{{{B_{x}}}} \cdot {{c}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} + {{{{{B_{y}}}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{{\alpha}^{2}}} {{\sqrt{\gamma}}}} - {{{{E_{y}}}} \cdot {{\alpha}} \cdot {{{ \beta} ^z}}}}}{{{c}} {{{\alpha}^{2}}}} & \frac{{{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}}}} + {{{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^z}}}}}{{{\alpha}} \cdot {{c}}}\end{matrix} \right]}}$
${{{ F} ^a} ^b} = {\overset{a\downarrow b\rightarrow}{\left[ \begin{matrix} 0 & \frac{{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^x}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^x} ^z}}}}{{{\alpha}} \cdot {{c}}} & \frac{{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^y}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^y} ^z}}}}{{{\alpha}} \cdot {{c}}} & \frac{{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^z}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^z}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^z} ^z}}}}{{{\alpha}} \cdot {{c}}} \\ -{\frac{{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^x}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^x} ^z}}}}{{{\alpha}} \cdot {{c}}}} & 0 & \frac{{{{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} + {{{{{{2}} {{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}}}} + {{{{E_{z}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}}}}{{{\alpha}} \cdot {{c}}} & \frac{{-{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} - {{{2}} {{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} + {{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}}}} + {{{{E_{z}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}}}}{{{\alpha}} \cdot {{c}}} \\ -{\frac{{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^y}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^y} ^z}}}}{{{\alpha}} \cdot {{c}}}} & \frac{{-{{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} - {{{2}} {{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} + {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}}}} + {{{{{E_{z}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}}}}}{{{\alpha}} \cdot {{c}}} & 0 & \frac{{{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} + {{{{{{2}} {{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} - {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}}}} + {{{{E_{z}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}}}}{{{\alpha}} \cdot {{c}}} \\ -{\frac{{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^z}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^z}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^z} ^z}}}}{{{\alpha}} \cdot {{c}}}} & \frac{{{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} + {{{{{2}} {{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} - {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}}}} + {{{{{E_{z}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}}}}}{{{\alpha}} \cdot {{c}}} & \frac{{-{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} - {{{2}} {{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} + {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}}}} + {{{{{E_{z}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}}}}}{{{\alpha}} \cdot {{c}}} & 0\end{matrix} \right]}}$
${{{{ F} _b} _c} _{,a}} = {\overset{a\downarrow[{b\downarrow c\rightarrow}]}{\left[ \begin{matrix} \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{ {E_{x}}_{,{{0}}}}}}}}\right)} & {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} + {{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{ {E_{y}}_{,{{0}}}}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{0}}}}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}} + {{{\alpha}} \cdot {{ {E_{x}}_{,{{0}}}}}}}\right)} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{0}}}}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} \\ {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}} + {{{\alpha}} \cdot {{ {E_{y}}_{,{{0}}}}}}}\right)} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{0}}}}}}}\right)}} \\ {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{0}}}}}}}\right)} & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{0}}}}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{ {E_{x}}_{,{{x}}}}}}}}\right)} & {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{ {E_{y}}_{,{{x}}}}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{x}}}}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{\alpha}} \cdot {{ {E_{x}}_{,{{x}}}}}}}\right)} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{x}}}}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{x}}}}}}}\right)}}} \\ {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{\alpha}} \cdot {{ {E_{y}}_{,{{x}}}}}}}\right)} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{x}}}}}}}\right)}}} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}}}\right)}} \\ {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{x}}}}}}}\right)} & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{x}}}}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}}}\right)}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{ {E_{x}}_{,{{y}}}}}}}}\right)} & {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} + {{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{ {E_{y}}_{,{{y}}}}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{y}}}}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{ {E_{x}}_{,{{y}}}}}}}\right)} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{y}}}}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}}}\right)}}} \\ {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{\alpha}} \cdot {{ {E_{y}}_{,{{y}}}}}}}\right)} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{y}}}}}}}\right)}}} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{y}}}}}}}\right)}} \\ {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{y}}}}}}}\right)} & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{y}}}}}}}\right)}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{ {E_{x}}_{,{{z}}}}}}}}\right)} & {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} - {{{\alpha}} \cdot {{ {E_{y}}_{,{{z}}}}}}}}\right)} & {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{z}}}}}}}}\right)} \\ {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{ {E_{x}}_{,{{z}}}}}}}\right)} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} \\ {\frac{1}{c}}{\left({{-{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} + {{{\alpha}} \cdot {{ {E_{y}}_{,{{z}}}}}}}\right)} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} & 0 & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}} \\ {\frac{1}{c}}{\left({{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{z}}}}}}}\right)} & {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}} & -{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} & 0\end{matrix} \right]}\end{matrix} \right]}}$
$d^2 A = 0$ in terms of $F_{ab}$
${{{{ dF} _a} _b} _c} = {\overset{a\downarrow[{b\downarrow c\rightarrow}]}{\left[ \begin{matrix} \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & 0 & 0 \\ 0 & 0 & {\frac{1}{c}} {{{2}} {{\left({{-{{{\alpha}} \cdot {{ {E_{x}}_{,{{y}}}}}}} + {{{{{{{{{\alpha}} \cdot {{ {E_{y}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & {\frac{1}{c}} {{{2}} {{\left({{-{{{\alpha}} \cdot {{ {E_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} \\ 0 & {\frac{1}{c}} {{{2}} {{\left({{{{{\alpha}} \cdot {{ {E_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{ {E_{y}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{{{{{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{2}} {{\left({{-{{{\alpha}} \cdot {{ {E_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} \\ 0 & {\frac{1}{c}} {{{2}} {{\left({{{{{{{{\alpha}} \cdot {{ {E_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & {\frac{1}{c}} {{{2}} {{\left({{{{{{{{{{{\alpha}} \cdot {{ {E_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & {\frac{1}{c}} {{{2}} {{\left({{{{{\alpha}} \cdot {{ {E_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{ {E_{y}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{{{{{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} & {\frac{1}{c}} {{{2}} {{\left({{{{{{{{\alpha}} \cdot {{ {E_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} \\ 0 & 0 & 0 & 0 \\ {\frac{1}{c}} {{{2}} {{\left({{-{{{\alpha}} \cdot {{ {E_{x}}_{,{{y}}}}}}} + {{{{{{{{{\alpha}} \cdot {{ {E_{y}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & 0 & 0 & {{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}} \\ {\frac{1}{c}} {{{2}} {{\left({{-{{{\alpha}} \cdot {{ {E_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} & 0 & -{{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}} {{{2}} {{\left({{-{{{\alpha}} \cdot {{ {E_{x}}_{,{{y}}}}}}} + {{{{{{{{{\alpha}} \cdot {{ {E_{y}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{2}} {{\left({{{{{{{{{{{\alpha}} \cdot {{ {E_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{2}} {{\left({{{{{\alpha}} \cdot {{ {E_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{ {E_{y}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{{{{{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} & 0 & 0 & -{{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} \\ 0 & 0 & 0 & 0 \\ {\frac{1}{c}} {{{2}} {{\left({{-{{{\alpha}} \cdot {{ {E_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & {{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}} & 0 & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}} {{{2}} {{\left({{-{{{\alpha}} \cdot {{ {E_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} & {\frac{1}{c}} {{{2}} {{\left({{-{{{\alpha}} \cdot {{ {E_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & 0 \\ {\frac{1}{c}} {{{2}} {{\left({{{{{{{{\alpha}} \cdot {{ {E_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} + {{{c}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & 0 & {{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}} & 0 \\ {\frac{1}{c}} {{{2}} {{\left({{{{{{{{{{{\alpha}} \cdot {{ {E_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} & -{{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} & 0 & 0 \\ 0 & 0 & 0 & 0\end{matrix} \right]}\end{matrix} \right]}}$
$\star d^2 A = \star d F$
${{{ \star dF} ^a} = {\overset{a\downarrow}{\left[ \begin{matrix} {\frac{1}{\alpha}} {{{2}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} \\ \frac{{{2}} {{\left({{{{{{{{{{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}}{{{\alpha}} \cdot {{c}}} \\ \frac{{{2}} {{\left({{-{{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}}{{{\alpha}} \cdot {{c}}} \\ \frac{{{2}} {{\left({{{{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{y}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{{{{{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{0}}}}}}} - {{{c}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}}{{{\alpha}} \cdot {{c}}}\end{matrix} \right]}}} = {\overset{a\downarrow}{\left[ \begin{matrix} 0 \\ 0 \\ 0 \\ 0\end{matrix} \right]}}$
replace $\partial_0 = \frac{1}{c} \partial_t$
${{{ \star dF} _a} = {\overset{a\downarrow}{\left[ \begin{matrix} {\frac{1}{\alpha}} {{{2}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} \\ \frac{{{2}} {{\left({{{{-{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{t}}}}}}} - {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{t}}}}}}} - {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{t}}}}}}} + {{{{{{{{{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}}{{{\alpha}} \cdot {{c}}} \\ \frac{{{2}} {{\left({{{{{-{{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{t}}}}}}} - {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{t}}}}}}} - {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{t}}}}}}} - {{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{{{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{x}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}}{{{\alpha}} \cdot {{c}}} \\ \frac{{{2}} {{\left({{{{-{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{t}}}}}}} - {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{t}}}}}}} - {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{t}}}}}}} + {{{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{\frac{1}{\sqrt{\gamma}}}} {{ {E_{y}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{y}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}}}}\right)}}}{{{\alpha}} \cdot {{c}}}\end{matrix} \right]}}} = {\overset{a\downarrow}{\left[ \begin{matrix} 0 \\ 0 \\ 0 \\ 0\end{matrix} \right]}}$
collect equations
${-{{\frac{1}{\alpha}}{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} = {0}$
${{\frac{1}{\alpha}} {{{\frac{1}{\sqrt{\gamma}}}} {{\left({{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{t}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{t}}}}}} + {{{{{{{{{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{t}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{z}}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}}}\right)}}} + {{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{ {E_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{ {E_{z}}_{,{{y}}}}}}}\right)}}}} = {0}$
${{\frac{1}{\alpha}} {{{\frac{1}{\sqrt{\gamma}}}} {{\left({{{{\sqrt{\gamma}}} {{\left({{{{-{{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{x}}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{z}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{t}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{t}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{t}}}}}}}\right)}}} + {{{{\sqrt{\gamma}}} {{\left({{{{{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{z}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{z}}}}}}} - {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} - {{{\alpha}} \cdot {{ {E_{z}}_{,{{x}}}}}}} + {{{\alpha}} \cdot {{ {E_{x}}_{,{{z}}}}}}}\right)}}}} = {0}$
${{\frac{1}{\alpha}} {{{\frac{1}{\sqrt{\gamma}}}} {{\left({{{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{t}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{t}}}}}} + {{{{{{{{{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{t}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{x}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {B_{x}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {B_{y}}_{,{{y}}}}}}} - {{{c}} {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {B_{z}}_{,{{y}}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {B_{x}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{x}}_{,{{y}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {B_{y}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {B_{z}}_{,{{x}}}}}} + {{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {B_{y}}_{,{{y}}}}}}}\right)}}} + {{{{c}} {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{ {E_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{ {E_{y}}_{,{{x}}}}}}}\right)}}}} = {0}$
and you have the Gauss law for the magnetic field and the Faraday law

---

four-current as a one-form:
${{ J} ^a} = {\overset{a\downarrow}{\left[ \begin{matrix} {{c}} {{\rho}} \\ {J^{x}} \\ {J^{y}} \\ {J^{z}}\end{matrix} \right]}}$
now look at the co-differential
$(\star F)_{ab} = (\star dA)_{ab} = \frac{1}{2} \epsilon_{abcd} F^{cd}$
${{{ \star F} _a} _b} = {\overset{a\downarrow b\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} + {{{{{{2}} {{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} - {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}}}} + {{{{E_{z}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} + {{{{{2}} {{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} - {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}}}} + {{{{{E_{z}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}}} + {{{{{{2}} {{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}}} - {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}}}} + {{{{E_{z}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{-{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} - {{{2}} {{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} + {{{{B_{x}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}}}} + {{{{{E_{z}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^z}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^z}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^z} ^z}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^y}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^y} ^z}}}}\right)}}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{-{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} - {{{2}} {{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} + {{{{{B_{y}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}}}} + {{{{E_{z}}}} \cdot {{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^z}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^z}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^z} ^z}}}}\right)}}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^x}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^x} ^z}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{-{{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}}}} + {{{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}}} - {{{2}} {{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}}}} + {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}}} + {{{{B_{z}}}} \cdot {{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}}} + {{{{{E_{x}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}}} - {{{{E_{x}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}}}} + {{{{{E_{y}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}}} - {{{{E_{y}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}}}} + {{{{{E_{z}}}} \cdot {{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}}} - {{{{E_{z}}}} \cdot {{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^y} ^y}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^y} ^z}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{E_{x}}}} \cdot {{{{ \gamma} ^x} ^x}}} + {{{{E_{y}}}} \cdot {{{{ \gamma} ^x} ^y}}} + {{{{E_{z}}}} \cdot {{{{ \gamma} ^x} ^z}}}}\right)}}}} & 0\end{matrix} \right]}}$
$(\partial_a \star dA)_{bc}$
${{{{ \star F} _b} _c} _{,a}} = {\overset{a\downarrow[{b\downarrow c\rightarrow}]}{\left[ \begin{matrix} \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{0}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{0}}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{0}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{0}}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{0}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{0}}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{0}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{0}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{0}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{0}}}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}}}\right)}}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{0}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{0}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{0}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{0}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}}}\right)}}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{0}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{0}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{0}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{0}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}}}\right)}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{x}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{x}}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{x}}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{x}}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{x}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{x}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{x}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{x}}}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}}}\right)}}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{x}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}}}\right)}}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{x}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}}\right)}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{y}}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{y}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{y}}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{y}}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{y}}}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}}\right)}}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{y}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{y}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{y}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}}}\right)}}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{y}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}}}\right)}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{z}}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{z}}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{z}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{z}}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{z}}}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{z}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}}} & 0 & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{z}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{z}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{z}}}}}}}\right)}}} & {\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}}} & 0\end{matrix} \right]}\end{matrix} \right]}}$
$d \star dA = d \star F = -2 \star \mu_0 J$
${{{{ d \star F} _a} _b} _c} = {\overset{a\downarrow[{b\downarrow c\rightarrow}]}{\left[ \begin{matrix} \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & 0 & 0 \\ 0 & 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{x}}}}}}}\right)}}} & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{{{{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{x}}}}}}}\right)}}} \\ 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{{{{{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{x}}}}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{{{{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{y}}}}}}}\right)}}} \\ 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{x}}}}}}}}\right)}}} & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{y}}}}}}}}\right)}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{{{{{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{x}}}}}}}}\right)}}} & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{x}}}}}}}}\right)}}} \\ 0 & 0 & 0 & 0 \\ {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{x}}}}}}}\right)}}} & 0 & 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{{{{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{x}}}}}}}\right)}}} & 0 & -{{\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}}} & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{x}}}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{y}}}}}}}}\right)}}} \\ {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{{{{{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{y}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{y}}}}}}} + {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{x}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{x}}}}}}}}\right)}}} & 0 & 0 & -{{\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}}} \\ 0 & 0 & 0 & 0 \\ {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{{{{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{y}}}}}}}\right)}}} & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}} & 0 & 0\end{matrix} \right]} \\ \overset{b\downarrow c\rightarrow}{\left[ \begin{matrix} 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{{{{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{x}}}}}}}\right)}}} & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{{{{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{y}}}}}}}\right)}}} & 0 \\ {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{x}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{x}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{ \beta} ^y}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^z}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{0}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{0}}}}}} + {{{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{0}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{x}}_{,{{z}}}}}}} + {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{x}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{x}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{x}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{x}}}}}}}}\right)}}} & 0 & {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}} & 0 \\ {\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{{-{{{{ \beta} ^x}} {{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}}} - {{{{ \beta} ^x}} {{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{ \beta} ^y}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{z}}}}}} + {{{{ \beta} ^z}} {{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{{{{ \beta} ^z}} {{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{z}}}}}} - {{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{0}}}}}}} - {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{0}}}}}}} - {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{0}}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{{{ \gamma} ^y} ^y}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^x}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^y} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}}} - {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{y}}_{,{{z}}}}}}} + {{{2}} {{\alpha}} \cdot {{c}} {{{{ \gamma} ^x} ^y}} {{{{ \gamma} ^x} ^z}} {{{{ \gamma} ^y} ^z}} {{\sqrt{\gamma}}} {{ {B_{z}}_{,{{y}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^y} ^y}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^z}^{2}}} {{ {B_{z}}_{,{{y}}}}}}} + {{{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{y}}_{,{{z}}}}}} - {{{\alpha}} \cdot {{c}} {{{{ \gamma} ^z} ^z}} {{\sqrt{\gamma}}} {{{{{ \gamma} ^x} ^y}^{2}}} {{ {B_{z}}_{,{{y}}}}}}}}\right)}}} & -{{\frac{1}{c}} {{{2}} {{\sqrt{\gamma}}} {{\left({{{{{{ \gamma} ^x} ^x}} {{ {E_{x}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{x}}_{,{{y}}}}}} + {{{{{ \gamma} ^x} ^y}} {{ {E_{y}}_{,{{x}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{x}}_{,{{z}}}}}} + {{{{{ \gamma} ^x} ^z}} {{ {E_{z}}_{,{{x}}}}}} + {{{{{ \gamma} ^y} ^y}} {{ {E_{y}}_{,{{y}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{y}}_{,{{z}}}}}} + {{{{{ \gamma} ^y} ^z}} {{ {E_{z}}_{,{{y}}}}}} + {{{{{ \gamma} ^z} ^z}} {{ {E_{z}}_{,{{z}}}}}}}\right)}}}} & 0 & 0 \\ 0 & 0 & 0 & 0\end{matrix} \right]}\end{matrix} \right]}}$
$\star d \star d A = \star d \star F = 2 \mu_0 J$