Schwarzschild coordinates beyond the event horizon

[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?

 

[Nugatory]

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

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.

 

[Afonso Campos]

Got it! Thanks!