Hi community:(adsbygoogle = window.adsbygoogle || []).push({});

I'm Federico and I'm new user here!

I'm trying to show that the Electromegnetic Field Tensor

[itex]F_{ab}[/itex] = 2A(r) [itex](e_{0})_{[a}(e_{1})_{b]}[/itex] + 2B(r) [itex](e_{2})_{[a}(e_{3})_{b]}[/itex]

where [itex](e_{0},e_{1},e_{2},e_{3})[/itex] is the tetrad basis associated with the metric

[itex]ds^2= -f(r)dt^2+h(r)dr^2+r^2dθ^2+r^2sin^2(θ)d\varphi^2[/itex]

has the same symmetries that this metric (static and spherical symmetry).

I`ve tried using the Lie Derivative in the direction of the Killing fields of this metric, but the algebra becomes a little complicated.

Any ideas on this issue?

Thanks a lot!

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# Maxwell Tensor Symmetries Problem

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