All Questions
Tagged with black-holes thermodynamics
306
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Understanding Haywards trapping gravity
In the paper General Laws of Black hole Dynamics, Hayward has proposed a formula for trapping gravity of an outer trapping horizon given by
$\kappa$ = $\frac{1}{2}$ $\sqrt{-e^f \mathcal{L}_- \Theta_+}$...
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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 ...
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Conformal mapping of Euclidean Schwarzschild AdS black hole
I have been trying to understand this for some time. given the Euclidean S-AdS black hole metric,
$$ ds^2 = f(r)d\tau^2 + \frac{1}{f(r)} dr^2 + r^2d\Omega^{2}_{D-2} $$
From what I understand this has ...
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Calculating the Bekenstein-Hawking entropy for 1+1 black hole with dilaton background
According to this paper the Bekenstein-Hawking entropy of a 1+1 black hole which described by the $SL_k(2,\mathbb{R})/U(1)$ WZW cigar geometry is given by the following formula appearing in eq. (5.7):
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Thermodynamics of supersymmetric black hole
For a 4-dimenstional supersymmetric Kerr Newman black hole, we have
$$\beta\Omega=2\pi i$$,
and the index
$$\text{Tr}[(-)^Fe^{-\beta(M-Q)}]=e^{S+\beta\Omega J}$$
with $S+\beta\Omega J$ being $\beta$ ...
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The Calculation of the Volume of a Photon Sphere around a Black Hole
So, I chose this question for my chemistry assignment which is "How many moles of photons will it take to fill up the volume of the photon sphere around Sagittarius A". I realized there is ...
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Is entropy dependent on mass alone?
The entropy of a non-rotating, non-charged black hole is only proportional to the surface area of its event horizon (Bekenstein, 1973).
The area of the event horizon of a spherical black hole is only ...
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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 ...
user143181
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What size is the smallest black hole stable at Standard temperature & pressure?
I have seen several questions regarding the size of the absolute smallest black hole, the smallest stable black hole and similar. These made me wonder; what is the smallest stable black hole if it is ...
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Past null horizon
What are past null horizons and future null horizons? Are they the same as past event horizons and future event horizons? The literature on Black Holes often uses these terms but I don’t get it. ...
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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 ...
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Entanglement entropy as the source of Bekenstein-Hawking entropy
I think I'm missing something about interpreting a black hole's entanglement entropy as the source of it's Bekenstein-Hawking entropy, and I can't find any literature on it.
So, we know that our ...
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Why is black hole mass proportional to the radius, whereas their entropy is proportional to their surface?
Both mass and entropy behave differently for black holes than for normal matter.
For simple Schwarzschild black holes, mass is proportional to their radius.
The Bekenstein-Hawing entropy is ...
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How does the lifetime and temperature of a black hole scale with mass in higher dimenstions?
I've tried to find out how the lifetime and temperature of a black hole scale with mass in a universe with more then 3 spatial dimensions. I've spent a while trying to look up an answer to this ...
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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?...
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