The General Relativity text I am using gives two forms of the Electromagnetic Energy Momentum Tensor:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]{\rm{ }}\mu _0 S_{ij} = F_{ik} F_{jk} - \frac{1}{4}\delta _{ij} F_{kl} F_{kl} \\[/tex]

[tex]{\rm{ }}\mu _0 S_j^i = F^{ik} F_{jk} - \frac{1}{4}\delta _{ij} F^{kl} F_{kl} \\[/tex]

I dont see how these are equivalent. Raising one index on the left entitles you to raise one index on

each term on the right, but instead they raised two indexes on the right. Can anyone explain this?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Raising Index of Electromagnetic Energy Momentum Tensor

**Physics Forums | Science Articles, Homework Help, Discussion**