Does a black hole have a temperature profile?

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The discussion centers on whether a black hole has a temperature profile from the event horizon to the singularity. Some participants suggest that the extreme compression of matter and light could lead to a temporary increase in temperature before cooling due to the surrounding coldness of space. There is also a mention of time dilation effects near the event horizon, raising questions about the nature of space-time in that region. The conversation highlights the distinction between real black holes and theoretical constructs, questioning the applicability of General Relativity at and beyond the event horizon. Ultimately, the discussion reflects ongoing uncertainties about the behavior of matter and energy in black holes.
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I was interested in the region from the event horizon towards the centre of a black hole. That is, the region from the centre of the singularity to the edge of the event horizon where the escape velocity is the speed of light.

Does this region have a non-zero temperature profile?

What happens to space-time and matter-energy just inside the event horizon?
 
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1) Interesting question. I think that the area inside the event horizon to the center of the black hole might have a temperature because the matter/light is being compressed so tightly I would assume that the temperature would raise a few degrees for a few seconds, until the coldness of space cooled it down again, thus, giving the surrounding area a little bit of heat. But, we can't see into event horizons so we have nothing to worry about really.
2) Well, time slows down a lot when you get closer to the event horizon. As for matter/energy and actual space, I am not sure.
 
...but doesn't Einstein's theory imply that space-time ceases to exist just inside the event horizon?

Thats the issue I have with balck holes - there are the real black holes in nature and there are the mathematical BLACK HOLE constructs given by theory

Something else is happening inside a black hole that is not described by General Relativity (actually what I am asking is "does General relativity break down at the event horizon or deeper inside the black hole at the singularity point?)
 
Abstract The Event Horizon Telescope (EHT) has significantly advanced our ability to study black holes, achieving unprecedented spatial resolution and revealing horizon-scale structures. Notably, these observations feature a distinctive dark shadow—primarily arising from faint jet emissions—surrounded by a bright photon ring. Anticipated upgrades of the EHT promise substantial improvements in dynamic range, enabling deeper exploration of low-background regions, particularly the inner shadow...
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