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a full contraction of the faraday tensor with itself can be shown to be

[tex]F_{\mu\nu}F^{\nu\mu}=2(E^{2}-c^{2}B^{2})[/tex]

I have done this by calculating 16 terms in the sum i.e. F11F11 + F12F21, and get this answer, but this is very tedious.

Is there a faster way to show this that I am missing?

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# Invarients from the Faraday tensor

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