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2 votes
0 answers
24 views

BTZ black hole as a quotient of AdS space

I am trying to understand this paper 1 and trying to reproduce some calculations and had some questions about that. In section 3.2, page 12, eq. 3.9, the authors are writing normal geodesics of an ...
Goodfellow's user avatar
1 vote
1 answer
78 views

(Why) does the late radiation after page time entangle with the early radiation?

In Jerusalem lectures by Harlow Pg. 53 it is said that At the beginning of the evaporation process the radiation that comes out is entangled with the remaining black hole. But eventually it must ...
Sanjana's user avatar
  • 785
1 vote
0 answers
25 views

Do all small-large AdS black hole phase transitions have swallow tail like behaviour for the Free Energy v/s Temperature plot?

In the literature the swallow tail like behaviour is prominently seen for small-large AdS black hole phase transition for the Free Energy vs Temperature Plot. Recently I was trying to reproduce the ...
codebpr's user avatar
  • 193
1 vote
0 answers
45 views

What's physical meaning of 2-point correlation function in holographic condensed matter?

Background: In AdS/CFT, we can do calculations in AdS spacetime, and get the result in CFT. When we consider RN-AdS black hole/brane, 2-point correlation functions in CFT can be obtained, which are ...
dualer's user avatar
  • 11
0 votes
0 answers
49 views

Schwarzschild AdS Black Hole

Why do we study the five dimensional Schwarzschild AdS Black Hole in AdS/CFT? Does it have to do with the symmetries that these theories have?
mrbeast123's user avatar
-1 votes
2 answers
102 views

Definitions of Thermodynamics and Holography

There are many differences between the laws of thermodynamics and the laws of black hole thermodynamics (BHT): Zeroth Law: In thermodynamics, the Zeroth Law establishes the notion of thermal ...
user avatar
1 vote
1 answer
149 views

Is the Ryu-Takayanagi (RT) formula calculating coarse-grained or fine-grained entropy?

I think it is computing the fine-grained entropy. However, I am confused by the case that when there is a black hole in the bulk. The Ryu-Takayanagi surface may include the horizon of the black hole ...
gshxd's user avatar
  • 133
2 votes
0 answers
69 views

Relating phase transition with symmetry-breaking according to Landau Theory

I am trying to reproduce the results from this paper where they find out the expression for the Landau functional to be $$\psi(x,t,p)=\frac{1}{4}(\frac{1}{x}+6x+px^3-4tx^2)$$ Now we plot Landau ...
codebpr's user avatar
  • 193
6 votes
2 answers
354 views

Getting confused with different metrics for AdS black hole

I'm getting confused with the convention for the metric that describes a (planar) AdS black hole in $1+d$ dimensions ($1$ timelike, $d$ spacelike). The most common definition seems to be the one as in ...
freddieknets's user avatar
2 votes
0 answers
50 views

Hawking Temperature for a hairy BTZ Black Hole

The metric of a hairy Black Hole is given by: $$ds^2 = \frac{L^2}{z^2}\biggl(-g(z) dt^2 + \frac{e^{2 A(z)}}{g(z)} dz^2 +d\varphi^2\biggr), $$ where $L$ is the AdS length taken to be $1$,$A(z)$ is the ...
codebpr's user avatar
  • 193
1 vote
0 answers
57 views

Can a saddle point corresponding to black hole horizon act as a source of chaos?

I was going through this paper where on page 5 they argue that in the given Poincare section: Most of the orbits form regular tori, while we can also see that some tori near the saddle point of the ...
codebpr's user avatar
  • 193
4 votes
1 answer
126 views

What does the discovery of pressure of black holes imply for spacetime thermodynamics?

As far as I know AdS/CFT and spacetime thermodynamics was motivated by the Bekenstein-Hawking Entropy formula of black holes. Recently however it was discovered that black holes have a pressure as ...
eeqesri's user avatar
  • 1,488
2 votes
0 answers
112 views

BTZ black hole and thermal $AdS_3$

Why is Euclidean $BTZ$ black hole at temperature $T$, equivalent to thermal $AdS_3$ at temperature $1/T$? I'm not really familiar with those objects, but I have used the modular transformation $$\tau_{...
Display name's user avatar
1 vote
0 answers
86 views

Euclidean BTZ black hole dual to thermal CFT state

I'm studying $\textbf{Holographic Derivation of Entanglement Entropy from AdS/CFT}$ by Shinsei Ryu and Tadashi Takayanagi. I'm trying to compute the entanglement entropy in $CFT_2/AdS_3$ at finite ...
Display name's user avatar
1 vote
1 answer
309 views

Calculation of interaction of gravitational waves with a black hole

We have a well understood interacting electromagnetic system, an electromagnetic wave interacting with an atom. We use perturbation theory to calculate what happens in such a system. The result is of ...
Eden Zane's user avatar
  • 251

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