I've been trying to obtain the EM stress energy tensor... but I'm not sure if what I got is correct.(adsbygoogle = window.adsbygoogle || []).push({});

In all the websites I googled, I found

[tex]T^{\mu\nu} =- \frac{1}{4}g^{\mu\nu} F^{\alpha\beta}F_{\alpha\beta} + F^{\mu}\,\!_{\lambda}F^{\nu\lambda}[/tex]

However, is this with the sources or without the sources? Seems to me that this is what I would get for a Lagrangian without current. what happens if I add a current density?

I just need a quick answer... I can't seem to find anything online.

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# EM stress energy tensor

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