- #1
kuecken
- 17
- 0
∇[itex]_{\mu}[/itex]g[itex]_{\alpha\beta}[/itex]=0 is the metricity equation (∇ the covariant derivative).
However, I wondered whether also ∇[itex]_{\mu}[/itex]g[itex]^{\alpha\beta}[/itex]=0 holds?
When I checked it, it did not. But I really want it to hold, so I was wondering whether I made a mistake.
Thank you.
However, I wondered whether also ∇[itex]_{\mu}[/itex]g[itex]^{\alpha\beta}[/itex]=0 holds?
When I checked it, it did not. But I really want it to hold, so I was wondering whether I made a mistake.
Thank you.