Macroscopic Description. Higher Derivative Terms and Black Hole Entropy

Abstract We investigate whether supertranslation symmetry may appear in a scenario that involves black holes in AdS space. The framework we consider is massive 3D gravity, which admits a rich black hole phase space, including stationary AdS black holes with softly decaying hair. We consider a set of asymptotic conditions that permits such decaying near the boundary, and which, in addition to the local conformal symmetry, is preserved by an extra local current. The corresponding algebra of diffeomorphisms consists of two copies of Virasoro algebra in semi-direct sum with an infinite-dimensional Abelian ideal. We then reorient the analysis to the near horizon region, where infinite-dimensional symmetries also appear. The supertranslation symmetry at the horizon yields an infinite set of non-trivial charges, which we explicitly compute. The zero-mode of these charges correctly reproduces the black hole entropy. In contrast to Einstein gravity, in the higher-derivative theory subleading terms in the near horizon expansion contribute to the near horizon charges. Such terms happen to capture the higher-curvature corrections to the Bekenstein area law.

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Reply to Pessoa, P.; Arderucio Costa, B., Comment on “Tsallis, C. Black Hole Entropy: A Closer Look. Entropy 2020, 22, 17”

Entropy ◽

10.3390/e23050630 ◽

2021 ◽

Vol 23 (5) ◽

pp. 630

Author(s):

Constantino Tsallis

Keyword(s):

Black Hole ◽

Black Hole Entropy ◽

Area Entropy and Quantized Mass of Black Holes from Information Theory

Entropy ◽

10.3390/e23070858 ◽

2021 ◽

Vol 23 (7) ◽

pp. 858

Author(s):

Dongshan He ◽

Qingyu Cai

Keyword(s):

Information Theory ◽

Black Hole ◽

Black Hole Entropy ◽

Quantum Corrections ◽

Compton Wavelength ◽

Information Theoretic ◽

Curved Space ◽

Thermodynamic Entropy ◽

Hole Area ◽

The Relationship

In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.

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Comment on “Black Hole Entropy from Conformal Field Theory in Any Dimension”

Physical Review Letters ◽

10.1103/physrevlett.83.5595 ◽

1999 ◽

Vol 83 (26) ◽

pp. 5595-5595 ◽

Cited By ~ 43

Author(s):

Mu-In Park ◽

Jeongwon Ho

Keyword(s):

Field Theory ◽

Black Hole ◽

Conformal Field Theory ◽

Black Hole Entropy ◽

Conformal Field

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THE BLACK HOLE ENTROPY BOUND AND THE MAXIMUM TEMPERATURE FOR MESON FORMATION IN THE NUCLEAR FIREBALL

Modern Physics Letters A ◽

10.1142/s0217732391003535 ◽

1991 ◽

Vol 06 (33) ◽

pp. 3039-3045 ◽

Cited By ~ 4

Author(s):

JISHNU DEY ◽

MIRA DEY ◽

MARCELO SCHIFFER ◽

LAURO TOMIO

Keyword(s):

Black Hole ◽

Simple Model ◽

Black Hole Entropy ◽

Heavy Ion ◽

Black Hole Thermodynamics ◽

Maximum Temperature ◽

Ion Collisions ◽

Pion Interferometry ◽

Entropy Bound ◽

Confined System

The entropy bound from black hole thermodynamics can be invoked to set limits for temperatures at which hadrons can survive as a confined system. We find that this implies that the pion can be formed in heavy ion collisions, much later than heavier mesons, for example the ρ-meson, when the fireball is cooler. The temperature found in a simple model agree qualitatively with experiment. We also suggest that this may be the reason why in pion interferometry experiments the space-time volume of the pion source seems large.

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