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5 votes
2 answers
2k views

Hawking Temperature of the BTZ Black Hole

The metric of the BTZ Black Hole is given by $$ ds^2 = - N^2 dt^2 + N^{-2} dr^2 +r^2(d\phi + N^\phi dt)^2 $$ with $$ N^2 = -M+ \frac{r^2}{l^2} + \frac{J^2}{4 r^2}, \ \ \ \ \ \ N^\phi = -\frac{J}{2r}...
3 votes
1 answer
96 views

Different Bekenstein bound equations – what’s the difference?

Can someone help me understand the difference between the Beckenstein bound equations that I’ve come across? They all appear to have different dimensions. I’ve been told that if you include the ...
2 votes
1 answer
701 views

Sign of gravitational action

I am reading this paper on Black hole phase transition in AdS, but for the life of me I cannot get the signs right for the expression of the Action of a Black Hole in AdS (eq (2.9)). Consider the AdS ...
3 votes
0 answers
56 views

Generalized entropy of black holes

In the review paper 2006.06872 by Maldacena, in eq.(2.4) they wrote that the total entropy of a black hole and its environment also has a contribution from the quantum fields outside the horizon which ...
9 votes
3 answers
332 views

Quantum pressure and chemical potential for a Schwarzschild black hole?

Just as Hawking showed that even Schwarzschild black holes have a temperature, shouldn't they also have a pressure and chemical potential? Are there any analytical formulae of those as well as $$ T_{...
2 votes
3 answers
180 views

Information content in black holes

Bekenstein-Hawking formula for entropy of a black hole tells us that information content in a black hole is proportional to its area which is in fact proportional to the mass^2 of the black hole. The ...
0 votes
0 answers
91 views

What are regular event horizons?

I am studying uniqueness theorems of Black Holes and I often see the word "regular event horizon" instead only event horizon. Many textbooks and literature do not define this term. Please ...
0 votes
1 answer
102 views

Trapping Hawking radiation in black holes?

I was reading this writing (https://davidwoolsey.com/AttO/AttO_blog/Entries/2020/7/13_Black_Holes_and_Transverse_Tidal_Effects%2C_a_revised_essay_on_some_thoughts.html) about considering tidal effects ...
2 votes
0 answers
53 views

Could supermassive black holes emit massive particles as part of the Hawking radiation (even if the probability is small)? [duplicate]

Supermassive black holes should have a very low Hawking temperature and therefore would emit very low energetic photons, only when the black hole has radiated most of its mass and becomes small it ...
1 vote
0 answers
55 views

Angular momentum, black holes and up-tunneling events in the vacuum

To give some context on the matter, I found these interesting articles (https://arxiv.org/abs/2007.11428 & https://arxiv.org/abs/2003.04927) where the authors analyzed, among other things, the ...
9 votes
4 answers
3k views

Is it possible to have a stable black hole that does not evaporate?

Black holes would presumably evaporate in the long future via Hawking radiation. However is this inevitable? Or are there any mechanisms that would compensate the lost mass due to Hawking radiation ...
4 votes
2 answers
1k views

Magnitude of Black hole entropy

I was looking with a friend of mine through time travel related stuff, and for some reason we ended up at the Hawking equation for black hole entropy which is: $$S= \frac{\pi Akc^3}{2hG}$$ where: A:...
0 votes
0 answers
21 views

Is it correct to claim that Hawking-Page phase transition is related to the breaking point at the Page-time?

In the evaporation process of a Black Hole in an AdS space we have a Hawking-Page phase transition. We know that such a phase transition can be exhibited by a singular behavior. At the other hand, ...
1 vote
1 answer
232 views

Could any new structures be formed after the heat death of the universe?

When the universe would reach a maximal state of entropy, heat death would presumably be reached and no structures would be left after the last black hole would evaporate. However, is this really true?...
0 votes
0 answers
57 views

Scattering approach for massless scalar Hawking radiation and Bogoliubov coefficients in Schwarzschild metric

Reflection coefficient from the scattering approach in tortoise coordinates, looks exactly like relationship between modulus squared of Bogoliubov coefficients. However I'm not able to figure out a ...

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