- #1
vaibhavtewari
- 63
- 0
I would like to ask, how these identities are true
\partial_{\mu}(-g)=(-g)g^{\alpha\beta}\partial_{\mu}g_{\alpha\beta}
and
\partial_{\mu}g^{\alpha\beta}=-g^{\alpha\lambda}g^{\beta\rho}\partial_{\mu}g_{\lambda\rho}
Sorry I meant" derivative of metric tensor and its determinant", I was able to prove the second identity, please help me with the first one.
\partial_{\mu}(-g)=(-g)g^{\alpha\beta}\partial_{\mu}g_{\alpha\beta}
and
\partial_{\mu}g^{\alpha\beta}=-g^{\alpha\lambda}g^{\beta\rho}\partial_{\mu}g_{\lambda\rho}
Sorry I meant" derivative of metric tensor and its determinant", I was able to prove the second identity, please help me with the first one.
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