Quick and (hopefully) easy question about derivative of det(g)

  • Thread starter pellman
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  • #1
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Given [itex]g=\det(g_{\mu\nu})[/itex], I find that

[tex]\frac{\partial g}{\partial g^{\mu\nu}}=-gg_{\mu\nu}[/tex]

Can someone confirm if this is correct, please?
 

Answers and Replies

  • #2
Bill_K
Science Advisor
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Yes, that's correct.
 
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