Energie-Impuls-Tensor

Elektrodynamik

${{F}^{\mu \nu }}=\left({\begin{matrix}0&-{{E}_{1}}&-{{E}_{2}}&-{{E}_{3}}\\{{E}_{1}}&0&-{{B}_{3}}&{{B}_{2}}\\{{E}_{2}}&{{B}_{3}}&0&-{{B}_{1}}\\{{E}_{3}}&-{{B}_{2}}&{{B}_{1}}&0\\\end{matrix}}\right)$

${{T}^{\alpha \beta }}={\frac {1}{4\pi }}\left({{F}^{\alpha }}_{\sigma }{{F}^{\sigma \beta }}-{\frac {1}{4}}{{\eta }^{\alpha \beta }}{{F}_{\mu \nu }}{{F}^{\mu \nu }}\right)$