- #1

berlinspeed

- 26

- 4

- TL;DR Summary
- When comparing ##g_{\mu\nu}## with ##\eta_{\mu\nu}## in curved spacetime.

So if ##P_{0}## is an event, and I have ##\mathcal {g_{\mu\nu}(P_{0})}=0## and ##\mathcal {g_{\mu\nu,\alpha\beta}(P_{0})}\neq0##, does this notation mean ##\partial\alpha\partial\beta## or simply ##\partial(\alpha\beta)##? And what is the significance of it? Why can't it be zero in curved spacetime?