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This paper consists of three steps. In the first, we prove that the Bekenstein-Hawking entropy is the unique expression of black hole entropy. Our proof is constructed in the framework of thermodynamics without any statistical discussion.…

General Relativity and Quantum Cosmology · Physics 2011-09-06 Hiromi Saida

Understanding the end state of black hole evaporation, the microscopic origin of black hole entropy, the information loss paradox, and the nature of the singularity arising in gravitational collapse - these are outstanding challenges for…

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. P. Singh , Cenalo Vaz

The quantized area predicted by loop quantum gravity suggests the existence of a lower bound for black-hole horizons. We prove this intuition within a covariant effective model for spherical loop quantum gravity, where nonsingular…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Asier Alonso-Bardaji

We show that essentially pure classical thermodynamics is sufficient to determine Bekenstein's formula for the black hole's entropy, $S=\eta A$. We base our reasoning on the minimal assumption that since black body radiation is describable…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Gilad Gour , Avraham E. Mayo

For general finite temperature different from the Hawking one there appears a well known conical singularity in the Euclidean classical solution of gravitational equations. The method of regularizing the cone by regular surface is used to…

High Energy Physics - Theory · Physics 2010-11-01 S. N. Solodukhin

We show that the Bekenstein-Hawking entropy associated with any black hole undergoes logarithmic corrections when small thermodynamic fluctuations around equilibrium are taken into account. Thus, the corrected expression for black hole…

High Energy Physics - Theory · Physics 2007-05-23 Saurya Das

The study of black hole physics revealed a fundamental connection between thermodynamics, quantum mechanics, and gravity. Today, it is known that black holes are thermodynamical objects with well-defined temperature and entropy. Although…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Joao Lucas Miqueleto , Andre G. S. Landulfo

We investigate the contributions of quantum fields to black hole entropy by using a cutoff scale at which the theory is described with a Wilsonian effective action. For both free and interacting fields, the total black hole entropy can be…

High Energy Physics - Theory · Physics 2013-04-24 Ted Jacobson , Alejandro Satz

We study microstates of the three dimensional black hole obtained by quantizing topologically non-trivial geometries behind the event horizon. In chiral gravity these states are found by quantizing the moduli space of bordered Riemann…

High Energy Physics - Theory · Physics 2015-08-18 Alexander Maloney

The thermodynamic properties of the (2+1)-dimensional non-rotating black hole of Ba\~nados, Teitelboim and Zanelli are discussed. The first quantum correction to the Bekenstein-Hawking entropy is evaluated within the on-shell Euclidean…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. A. Bytsenko , L. Vanzo , S. Zerbini

We re-examine the idea that the origin of black-hole entropy may lie in the entanglement of quantum fields between inside and outside of the horizon. Motivated by the observation that certain modes of gravitational fluctuations in a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Saurya Das , S. Shankaranarayanan , Sourav Sur

In this review we describe statistical mechanics of quantum systems in the presence of a Killing horizon and compare statistical-mechanical and one-loop contributions to black hole entropy. Studying these questions was motivated by attempts…

High Energy Physics - Theory · Physics 2009-10-31 Valeri Frolov , Dmitri Fursaev

Although we have convincing evidence that a black hole bears an entropy proportional to its surface (horizon) area, the ``statistical mechanical'' explanation of this entropy remains unknown. Two basic questions in this connection are: what…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Rafael D. Sorkin

We construct an infinite family of microstates for black holes in Minkowski spacetime which have effective semiclassical descriptions in terms of collapsing dust shells in the black hole interior. Quantum mechanical wormholes cause these…

High Energy Physics - Theory · Physics 2023-11-06 Vijay Balasubramanian , Albion Lawrence , Javier M. Magan , Martin Sasieta

The entropy-area spectrum of a black hole has been a long-standing and unsolved problem. Based on a recent methodology introduced by two of the authors, for the black hole radiation (Hawking effect) as tunneling effect, we obtain the…

High Energy Physics - Theory · Physics 2014-11-20 Rabin Banerjee , Bibhas Ranjan Majhi , Elias C. Vagenas

Isolated horizons model equilibrium states of classical black holes. A detailed quantization, starting from a classical phase space restricted to spherically symmetric horizons, exists in the literature and has since been extended to…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Christopher Beetle , Jonathan Engle

We discuss the entanglement entropy for a massive Klein-Gordon field in two Schwarzschild-like quantum black hole spacetimes, also including a nonminimal coupling term with the background scalar curvature. To compute the entanglement…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Alessio Belfiglio , Orlando Luongo , Stefano Mancini , Sebastiano Tomasi

The investigation about the volume of a black hole is closely related to the quantum nature of the black hole. The entropy is a significant concept for this. A recent work by Majhi and Samanta [Phys. Lett. B 770 (2017) 314] after us…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Baocheng Zhang

In this work, starting by simple, approximate (quasi-classical) methods presented in our previous works, we suggest a simple determination of the (logarithmic) corrections of (Schwarzschild) black hole entropy "without knowing the details…

General Relativity and Quantum Cosmology · Physics 2008-10-07 Vladan Pankovic , Simo Ciganovic , Jovan Ivanovic

An equidistant spectrum of the horizon area of a quantized black hole does not follow from the correspondence principle or from general statistical arguments. On the other hand, such a spectrum obtained in loop quantum gravity (LQG) either…

General Relativity and Quantum Cosmology · Physics 2014-11-17 I. B. Khriplovich
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