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Solving the equation of relativistic motion
How does one solve the tensor differential equation for the relativistic motion of a partilcle of charge $e$ and mass $m$, with 4-momentum $p^a$ and electromagnetic field tensor $F_{ab}$ of a constant ...
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Show that $\partial_\nu T^{\mu\nu} = - j_\nu F^{\mu\nu}$
In a theoretical physics homework problem, I have to show the following:
$$\partial_\nu T^{\mu\nu} = - j_\nu F^{\mu\nu}$$
Where $T$ is the Energie-Momentum-Tensor, $j$ the generalized current and $F$ ...
