A Hawking Radiation Inside a Black Hole: Theory & Possibilities

[PSR1257II]

TL;DR Summary

Can Hawking radiation be emitted inside Event Horizon and prevent point-singularity?

It is known theoretical prediction that Black Holes must emit radiation "... its temperature and surface gravity are proportional to its mass divided by its area" (Kip Thorne). This is applied to Event Horizon (rg).

But one can imagine inner Black Hole (e.g. inside r' < rg), it does not have Event Horizon in common sense (e.g. radiation created at r' must inevitably fall back) but still can? emit Hawking radiation. As r'->0 this radiation must have Temperature -> infinity (see above), therefore making superhot and finite (not point) singularity.

?

 

[PeterDonis]

one can imagine inner Black Hole (e.g. inside r' < rg), it does not have Event Horizon in common sense

No, one can't. The definition of a black hole is that it has an event horizon.

Your question is meaningless because it is based on a mistaken premise.

 

[PSR1257II]

I believe it is important to note that there is another type of Hawking-like radiation - emission made by spinning Black Hole out of quantum fluctuations outside of Event Horizon. E.g. there is no particular need for "boundary" (Horizon) to split particle-antiparticle.

This theoretical prediction was made prior Hawking's discovery in 1973 by Zeldovich.

 

[Vanadium 50]

. E.g. there is no particular need for "boundary" (Horizon) to split particle-antiparticle

Have you read Hawing's paper? That is not his argument.

 

[PeterDonis]

emission made by spinning Black Hole out of quantum fluctuations outside of Event Horizon. E.g. there is no particular need for "boundary" (Horizon) to split particle-antiparticle.

You are incorrect that there is no need for a "boundary" (Horizon). Zeldovich's prediction does depend on the presence of a horizon. His discovery amounted to the claim that a spinning black hole emitting gravitational waves due to quantum fluctuations is analogous to a spinning metal sphere emitting electromagnetic waves due to quantum fluctuations. The hole's horizon is analogous to the boundary of the metal sphere.

https://en.wikipedia.org/wiki/Superradiance

 

[PSR1257II]

You are incorrect that there is no need for a "boundary" (Horizon). Zeldovich's prediction does depend on the presence of a horizon. His discovery amounted to the claim that a spinning black hole emitting gravitational waves due to quantum fluctuations is analogous to a spinning metal sphere emitting electromagnetic waves due to quantum fluctuations. ...

https://en.wikipedia.org/wiki/Superradiance

"It is also sometimes described as the consequence of an "effective" field differential around the body (e.g. the effect of tidal forces)." (c) Wiki

Can you please be exact about where the need for boundary (Horizon) raises? I do see only need for differential (tidal force) and strong gravitational field.

Back to original conjecture - inside Black Hole there is differential between different points respect to center (tidal force) and it just grows as r -> 0.

 

[PeterDonis]

Can you please be exact about where the need for boundary (Horizon) raises?

Zeldovich's argument wasn't exact. He was just drawing an analogy between a spinning metal sphere and a spinning black hole. In the analogy, the hole's horizon was analogous to the surface of the sphere. Since the analogy is all we have, we can't just eliminate the hole's horizon because then there is no analogy.

 

[PeterDonis]

inside Black Hole there is differential between different points respect to center (tidal force) and it just grows as r -> 0

And in the spacetime where this is the case, there is an event horizon. The two things go together.

Back to original conjecture

Your conjecture is personal speculation and is off limits for PF discussion. Thread closed.