- #1
peterjaybee
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Homework Statement
Using the expression below for the stress energy tensor of the em field, show that it has zero trace.
Homework Equations
[tex]T^{\mu\nu}=F^{\mu}_{ \alpha}F^{\alpha\nu}+\frac{1}{4}\eta^{\mu\nu}F_{\beta\gamma}F^{\beta\gamma}[/tex]
F is the faraday tensor and eta is the minkowski metric.
The Attempt at a Solution
I started by trying to calculate [tex]T^{00}[/tex] with the aim of then calculating the other diagonal components i.e. 11, 22 and 33. But I did not get anywhere. I couldn't get my head around the summations.
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