A Schwarzschild coordinates beyond the event horizon

1. May 29, 2017

Afonso Campos

We can write down the metric of the Schwarzschild black hole in Schwarzschild coordinates.

Which aspect of the metric in Schwarzschild coordinates indicates that the coordinates are only valid outside the event horizon?

2. May 29, 2017

Staff: Mentor

None - they're valid inside the event horizon as well as outside. They are singular at the event horizon ($g_{tt}$ is zero and $g_{rr}$ goes to infinity) so aren't valid there.

3. May 29, 2017

Afonso Campos

Got it! Thanks!