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black holes and hawking

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What is the temperature at the centre of a black hole? What is the net mass of the material at a point in the centre per mm^3?

Where does Hawking's calculation fail?

 

Calculation of what?

 

The Hawking temperature?

 

Hawking's result was originally based on semiclassical gravity. It has been reproduced using string theory and loop quantum gravity.

 

One criticism could be that the details may depend on a full quantum theory of gravity. But as all attempts in different frameworks seem to converge it looks like the Hawking temperature is a fundamental part of quantum gravity.

 

Or are you referring to Penrose-Hawking's theorems on gravitational collapse?

 

The showed, under some reasonable assumptions (energy conditions and no CTC's etc) that in classical general relativity gravitational collapse always leads to a singularity. The exact conditions for an even horizon to form are not completely clear.

 

Like any theorem, they are only as strong as the conditions enforced.

 

Or are you questioning some other calculation of Hawking?

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