Built on

S. Nojiri, S. D. Odintsov and E. N. Saridakis, “Modified cosmology from extended entropy with varying exponent,” Eur. Phys. J. C 79
Original
1903
Earlier work this paper cites.
C. H. T. Wang and M. Stankiewicz, “Quantization of time and the big bang via scale-invariant loop gravity,” Phys. Lett. B 800
Original
1910
Earlier work this paper cites.
A. Rényi, “On measures of information and entropy” Proceedings of the Fourth Berkeley Symposium on Mathematics, Statistics and Probability, University of California Press (1960), 547-56
1960
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7
1973
Earlier work this paper cites.
J. M. Bardeen, B. Carter and S. W. Hawking, “The Four laws of black hole mechanics,” Commun. Math. Phys. 31
1973
Earlier work this paper cites.
S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43
1976
Earlier work this paper cites.
R. M. Wald, General Relativity
1984
Earlier work this paper cites.
C. Tsallis, C, “Possible generalization of Boltzmann-Gibbs statistics”. Journal of Statistical Physics. 52 (1-2) (1988), 479-487 doi:10.1007/BF01016429
1988
Earlier work this paper cites.
R. M. Wald, “The thermodynamics of black holes,” Living Rev. Rel. 4
2001
Earlier work this paper cites.
L. Tannukij, P. Wongjun, E. Hirunsirisawat, T. Deesuwan and C. Promsiri, “Thermodynamics and phase transition of spherically symmetric black hole in de Sitter space from Rényi statistics,” Eur. Phys. J. Plus 135
Original
2002
Earlier work this paper cites.

Similar

J. M. Heinzle and R. Steinbauer, “Remarks on the distributional Schwarzschild geometry,” J. Math. Phys. 43
2002
Cited alongside, same era.
C. Promsiri, E. Hirunsirisawat and W. Liewrian, “Thermodynamics and Van der Waals phase transition of charged black holes in flat space-time via Rényi statistics,” Phys. Rev. D 102
Original
2003
Cited alongside, same era.
J. D. Barrow, “The Area of a Rough Black Hole,” Phys. Lett. B 808
Original
2004
Cited alongside, same era.
G. Kaniadakis, “Statistical mechanics in the context of special relativity. II.,” Phys. Rev. E 72
2005
Cited alongside, same era.
R. Steinbauer and J. A. Vickers, “The Use of generalised functions and distributions in general relativity,” Class. Quant. Grav. 23
2006
Cited alongside, same era.

Then

A. Majhi, “Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry,” Phys. Lett. B 775
Original
2017
Later among the works it cites.
O. J. Veraguth and C. H. T. Wang, “Immirzi parameter without Immirzi ambiguity: Conformal loop quantization of scalar-tensor gravity,” Phys. Rev. D 96
Original
2017
Later among the works it cites.
S. Nojiri and S. D. Odintsov, “Regular multihorizon black holes in modified gravity with nonlinear electrodynamics,” Phys. Rev. D 96
Original
2017
Later among the works it cites.
A. Sayahian Jahromi, S. A. Moosavi, H. Moradpour, J. P. Morais Graça, I. P. Lobo, I. G. Salako and A. Jawad, “Generalized entropy formalism and a new holographic dark energy model,” Phys. Lett. B 780
Original
2018
Later among the works it cites.

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2022

Alternative entropies and consistent black hole thermodynamics

Nojiri, Shin'ichi, Odintsov, Sergei D., Faraoni, Valerio

Understand

While the Bekenstein-Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (R\'enyi, Tsallis, and generalized constructs) abound in the literature.

We explore conditions under which they are part of a consistent horizon thermodynamics for certain classes of modified gravity black holes.
We provide examples in which black hole masses and temperatures going hand-in-hand with these alternative entropies coincide with their usual counterparts associated with the Bekenstein-Hawking entropy.

Built on

S. Nojiri, S. D. Odintsov and E. N. Saridakis, “Modified cosmology from extended entropy with varying exponent,” Eur. Phys. J. C 79
Original
1903
Earlier work this paper cites.
C. H. T. Wang and M. Stankiewicz, “Quantization of time and the big bang via scale-invariant loop gravity,” Phys. Lett. B 800
Original
1910
Earlier work this paper cites.
A. Rényi, “On measures of information and entropy” Proceedings of the Fourth Berkeley Symposium on Mathematics, Statistics and Probability, University of California Press (1960), 547-56
1960
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7
1973
Earlier work this paper cites.
J. M. Bardeen, B. Carter and S. W. Hawking, “The Four laws of black hole mechanics,” Commun. Math. Phys. 31
1973
Earlier work this paper cites.
S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43
1976
Earlier work this paper cites.
R. M. Wald, General Relativity
1984
Earlier work this paper cites.
C. Tsallis, C, “Possible generalization of Boltzmann-Gibbs statistics”. Journal of Statistical Physics. 52 (1-2) (1988), 479-487 doi:10.1007/BF01016429
1988
Earlier work this paper cites.
R. M. Wald, “The thermodynamics of black holes,” Living Rev. Rel. 4
2001
Earlier work this paper cites.
L. Tannukij, P. Wongjun, E. Hirunsirisawat, T. Deesuwan and C. Promsiri, “Thermodynamics and phase transition of spherically symmetric black hole in de Sitter space from Rényi statistics,” Eur. Phys. J. Plus 135
Original
2002
Earlier work this paper cites.

Similar

J. M. Heinzle and R. Steinbauer, “Remarks on the distributional Schwarzschild geometry,” J. Math. Phys. 43
2002
Cited alongside, same era.
C. Promsiri, E. Hirunsirisawat and W. Liewrian, “Thermodynamics and Van der Waals phase transition of charged black holes in flat space-time via Rényi statistics,” Phys. Rev. D 102
Original
2003
Cited alongside, same era.
J. D. Barrow, “The Area of a Rough Black Hole,” Phys. Lett. B 808
Original
2004
Cited alongside, same era.
G. Kaniadakis, “Statistical mechanics in the context of special relativity. II.,” Phys. Rev. E 72
2005
Cited alongside, same era.
R. Steinbauer and J. A. Vickers, “The Use of generalised functions and distributions in general relativity,” Class. Quant. Grav. 23
2006
Cited alongside, same era.

Then

A. Majhi, “Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry,” Phys. Lett. B 775
Original
2017
Later among the works it cites.
O. J. Veraguth and C. H. T. Wang, “Immirzi parameter without Immirzi ambiguity: Conformal loop quantization of scalar-tensor gravity,” Phys. Rev. D 96
Original
2017
Later among the works it cites.
S. Nojiri and S. D. Odintsov, “Regular multihorizon black holes in modified gravity with nonlinear electrodynamics,” Phys. Rev. D 96
Original
2017
Later among the works it cites.
A. Sayahian Jahromi, S. A. Moosavi, H. Moradpour, J. P. Morais Graça, I. P. Lobo, I. G. Salako and A. Jawad, “Generalized entropy formalism and a new holographic dark energy model,” Phys. Lett. B 780
Original
2018
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

J. Ren, “Analytic critical points of charged Rényi entropies from hyperbolic JHEP 05

Original

2012

Cited alongside, same era.

D. Samart and P. Channuie, “AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Rényi statistics,” [arXiv:2012.14828 [hep-th]]

Original

2012

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S. Carlip, “Black Hole Thermodynamics,” Int. J. Mod. Phys. D 23

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2014

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V. G. Czinner and H. Iguchi, “Rényi Entropy and the Thermodynamic Stability of Black Holes,” Phys. Lett. B 752

Original

2015

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N. Drepanou, A. Lymperis, E. N. Saridakis and K. Yesmakhanova, “Kaniadakis holographic dark energy,” [arXiv:2109.09181 [gr-qc]]

Original

Cited in the paper.

Y. Liu, “Non-extensive Statistical Mechanics and the Thermodynamic Stability of FRW Universe,” doi:10.1209/0295-5075/ac3f52 [arXiv:2112.15077 [gr-qc]]

Original

Cited in the paper.

C. H. T. Wang and D. P. F. Rodrigues, “Closing the gaps in quantum space and time: Conformally augmented gauge structure of gravitation,” Phys. Rev. D 98

Original

2018

Later among the works it cites.

K. Mejrhit and S. E. Ennadifi, “Thermodynamics, stability and Hawking–Page transition of black holes from non-extensive statistical mechanics in quantum geometry,” Phys. Lett. B 794

2019

Later among the works it cites.

S. Nojiri, S. D. Odintsov and V. Faraoni, “Area-law versus Rényi and Tsallis black hole entropies,” Phys. Rev. D 104

Original

2021

Later among the works it cites.

V. Faraoni, A. Giusti and B. H. Fahim, “Spherical inhomogeneous solutions of Einstein and scalar–tensor gravity: A map of the land,” Phys. Rept. 925

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2021

Later among the works it cites.

S. Nojiri, S. D. Odintsov and V. Faraoni, “From nonextensive statistics and black hole entropy to the holographic dark universe,” Phys. Rev. D 105

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2022

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