Hi, every one I'm newbie here. I have a few problem with my study about GR.(adsbygoogle = window.adsbygoogle || []).push({});

Here's a problem

[tex]\partial_a(g^{ad})g_{cd}-\partial_d(g^{ad})g_{ac}=\\0[/tex]

Could I prove these relation by change index (in 1st term ) from a -> d and also d -> a?

and let's defined [tex]{g}=det{\\g_{ab}\\}[/tex]

[tex]{g^{ab}}\partial_c(\\g_{ab})=\frac{1}{g} \partial_c(\\g)[/tex]

How I prove these equation ? Any one got an idea?

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# Christofle symbol and determinant of metric tensor

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