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A black hole is a region of spacetime from which nothing can escape. More formally, the future light cone of any observer within the black hole is completely contained in the black hole, and the black hole region is not within the past light cone of any observer that goes to spatial infinity in an infinite amount of time.

4 votes

Conformal equivalent to Schwarzschild metric

You have a misconception. Neither metric is degenerate. $det g$ should be $0$ somewhere in order for a metric to be degenerate. See here With your definition even any innocent looking 2D polar metric …
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2 votes

Relativistic kinetic energy has no upper bound, so why is there a Schwarzschild radius?

As mentioned in the comments , the motivation for defining the Schwartzschild radius had nothing to do with escape velocity. It is just the distance from a central body where the Schwartzschild metric …
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1 vote

An electron falling into a black hole

You take a fully classical object (pointlike black hole with definite position and momentum) and you make it interact with a fully quantum object (pointlike particle described by a wave function) at " …
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-1 votes

Is $\theta=0$ a coordinate singularity in the Schwarzschild metric?

1- you cannot use metric or other tensor components to test for singularities. You must use scalar quantities, because they are the same in any coordinate system. For example with Schwarzschild coordi …
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-1 votes

Any tips on evaluating Riemann tensor?

I think that calculating the Riemann tensor manually is not particularly illuminating, but if you really want to do it, then why ask for help from us and not from a book? It's quite probable that any …
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-2 votes

Is a black hole's mass uniformly distributed?

In the mathematical models of black holes that we use, there is a parameter M which is related to the mass-energy of the black hole. There is NO hint of distribution of mass-energy inside the black ho …
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