Acoustic Black Holes and Universal Aspects of Area Products

Anacleto, M. A.; Brito, Francisco A.; Passos, E.

doi:10.48550/arxiv.1309.1486

Cited by 12 publications

(20 citation statements)

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“…A The "entropy sum" in the minimally coupling frame of Einstein-Maxwellscalar-AdS spacetime 10 B The"entropy sum" of Kerr black hole 12 1 Introduction…”

Section: Contentsmentioning

confidence: 99%

The “universal property” of horizon entropy sum of black holes in four dimensional asymptotical (anti-)de-Sitter spacetime background

Wang

Meng

2014

J. High Energ. Phys.

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We present a new "universal property" of entropy, that is the "entropy sum" relation of black holes in four dimensional (anti-)de-Sitter asymptotical background. They depend only on the cosmological constant with the necessary effect of the un-physical "virtual" horizon included in the spacetime where only the cosmological constant, mass of black hole, rotation parameter and Maxwell field exist. When there is more extra matter field in the spacetime, one will find the "entropy sum" is also dependent of the strength of these extra matter field. For both cases, we conclude that the "entropy sum" does not depend on the conserved charges M , Q and J, while it does depend on the property of background spacetime. We will mainly test the "entropy sum" relation in static, stationary black hole and some black hole with extra matter source (scalar hair and higher curvature) in the asymptotical (anti-)de-sitter spacetime background. Besides, we point out a newly found counter example of the mass independence of the "entropy product" relation in the spacetime with extra scalar hair case, while the "entropy sum" relation still holds. These result are indeed suggestive to some underlying microscopic mechanism. Moreover, the cosmological constant and extra matter field dependence of the "entropy sum" of all horizon seems to reveal that "entropy sum" is more general as it is only related to the background field. For the case of asymptotical flat spacetime without any matter source, we give a note for the Kerr black hole case in appendix. One will find only mass dependence of "entropy sum" appears. It makes us believe that, considering the dependence of "entropy sum", the mass background field may be regarded as the next order of cosmological constant background field and extra matter field. However, fully explaining the relationship between the "entropy sum" relation and background properties still requires further exploration.

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“…A The "entropy sum" in the minimally coupling frame of Einstein-Maxwellscalar-AdS spacetime 10 B The"entropy sum" of Kerr black hole 12 1 Introduction…”

Section: Contentsmentioning

confidence: 99%

The “universal property” of horizon entropy sum of black holes in four dimensional asymptotical (anti-)de-Sitter spacetime background

Wang

Meng

2014

J. High Energ. Phys.

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“…Such a multi-horizon solution is too complicated to calculate while the area product is still universal for rotating black holes in gauge supergravities [4,[11][12][13][14]. The study can also be generalized to charged rotating black hole in various gravity models (including Einstein gravity [15][16][17][18][19][20], f (R) gravity [12,20,21], higher curvature gravity [12,20,21] and other models with matter fields [20][21][22][23][24][25][26][27][28][29] ), and the result shows that S p is also independent of mass of black hole.…”

Section: Universal Entropy (Area) Productmentioning

confidence: 99%

Universal entropy relations: entropy formulae and entropy bound

Liu,

Meng,

et al. 2016

Preprint

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We survey the applications of universal entropy relations in black holes with multi-horizons. In sharp distinction to conventional entropy product, the entropy relationship here not only improve our understanding of black hole entropy but was introduced as an elegant technique trick for handling various entropy bounds and sum. Despite the primarily technique role, entropy relations have provided considerable insight into several different types of gravity, including massive gravity, Einstein-Dilaton gravity and Horava-Lifshitz gravity. We present and discuss the results for each one.

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“…In order to understand the black hole entropy at the microscopic level, the entropy product of multi-horizons black holes were studied widely in a lot literatures . The entropy product is always independent on the mass of black holes, which is universal for many charged and rotating black holes [1][2][3][4][5][6][7][8][9][10][11][12][13], black rings and black strings [14]. Actually, the entropy product, in conjunction with Cauchy horizon thermodynamics, can be used to determine whether the corresponding Bekenstein-Hawking entropy can be written as a Cardy formula, hence providing some evidence for a CFT description of the corresponding microstates [14,15].…”

Section: Introductionmentioning

confidence: 99%

Entropy relations and the application of black holes with the cosmological constant and Gauss–Bonnet term

Wang

Meng

2015

Physics Letters B

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Keywords:(A)dS black hole First law of thermodynamics Smarr relation Thermodynamic bound Thermodynamic relation Based on entropy relations, we derive the thermodynamic bound for entropy and the area of horizons for a Schwarzschild-dS black hole, including the event horizon, Cauchy horizon, and negative horizon (i.e., the horizon with negative value), which are all geometrically bound and comprised by the cosmological radius. We consider the first derivative of the entropy relations to obtain the first law of thermodynamics for all horizons. We also obtain the Smarr relation for the horizons using the scaling discussion. For the thermodynamics of all horizons, the cosmological constant is treated as a thermodynamic variable. In particular, the thermodynamics of the negative horizon are defined well in the r < 0 side of space-time.This formula appears to be valid for three-horizon black holes. We also generalize the discussion to thermodynamics for the event horizon and Cauchy horizon of Gauss-Bonnet charged flat black holes because the Gauss-Bonnet coupling constant is also considered to be thermodynamic variable. These results provide further insights into the crucial role played by the entropy relations of multi-horizons in black hole thermodynamics as well as improving our understanding of entropy at the microscopic level.

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Acoustic Black Holes and Universal Aspects of Area Products

Cited by 12 publications

References 0 publications

The “universal property” of horizon entropy sum of black holes in four dimensional asymptotical (anti-)de-Sitter spacetime background

The “universal property” of horizon entropy sum of black holes in four dimensional asymptotical (anti-)de-Sitter spacetime background

Universal entropy relations: entropy formulae and entropy bound

Entropy relations and the application of black holes with the cosmological constant and Gauss–Bonnet term

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