Energie-Impuls-Tensor

Elektrodynamik

$F^{\mu \nu }=\left(\begin{array}{cccc}0& -E_1& -E_2& -E_3\\ E_1& 0& -B_3& B_2\\ E_2& B_3& 0& -B_1\\ E_3& -B_2& B_1& 0\\ \end{array}\right)$

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