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EM stress energy tensor

  1. Oct 12, 2008 #1
    I've been trying to obtain the EM stress energy tensor... but I'm not sure if what I got is correct.

    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.
    Last edited: Oct 12, 2008
  2. jcsd
  3. Oct 12, 2008 #2


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    Try 't Hooft's notes, Eq. 10.9
    http://www.phys.uu.nl/~thooft/lectures/genrel.pdf [Broken]
    Last edited by a moderator: May 3, 2017
  4. Oct 13, 2008 #3
    thanks, got my answer, indeed that form above is without any source. A term proportional to the product of AJ are included, as expected.
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