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Black hole physics currently lacks a fully coherent understanding of the black hole mass (density), entropy, and interior (non-)singularity. These concepts are related to the black hole radius, area (of the horizon), and volume (within the…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Arno Keppens , Lester Kurvers

We give a progress report of our research on spacetime fluctuations induced by quantum fields in an evaporating black hole and a black hole in quasi-equilibrium with its Hawking radiation. We note the main issues involved in these two…

General Relativity and Quantum Cosmology · Physics 2016-11-09 B. L. Hu , Albert Roura

These notes aim to provide an introduction to the basics of black hole thermodynamics. After explaining Bekenstein's original proposal that black holes have entropy, we discuss Hawking's discovery of black hole radiation, its analog for…

High Energy Physics - Theory · Physics 2025-05-20 Edward Witten

Recent explorations of topological aspects in black hole thermodynamics have achieved unprecedented progress. By utilizing topological numbers, different black hole systems can be categorized into distinct universality classes. This…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Shao-Wen Wei , Yu-Xiao Liu

We review the problem of divergences in one--loop thermodynamical quantities for matter fields in thermal equilibrium on a black hole background. We discuss a number of results obtained for various thermodynamical quantities. Then we…

General Relativity and Quantum Cosmology · Physics 2009-10-28 F. Belgiorno , M. Martellini

Although we know that black holes are characterized by a temperature and an entropy, we do not yet have a satisfactory microscopic ``statistical mechanical'' explanation for black hole thermodynamics. I describe a new approach that…

General Relativity and Quantum Cosmology · Physics 2016-01-27 S. Carlip

In recent work on black hole entropy in non-perturbative quantum gravity, an action for the black hole sector of the phase space is introduced and (partially) quantized. We give a number of observations on this and related works. In…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Viqar Husain

In loop quantum gravity, the quantum geometry of a black hole horizon consist of discrete non-perturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. If these…

General Relativity and Quantum Cosmology · Physics 2016-11-07 Abhishek Majhi

A simple derivation of the bound on entropy is given and the holographic principle is discussed. We estimate the number of quantum states inside space region on the base of uncertainty relation. The result is compared with the Bekenstein…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. G. Ivanov , I. V. Volovich

I argue that black hole entropy counts only those states of a black hole that can influence the outside, and attempt (with only partial success) to defend this claim against various objections, all but one coming from string theory.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ted Jacobson

Between 1972 and 1975, Jacob Bekenstein proposed that black holes possess entropy proportional to their horizon area, and Stephen Hawking derived this relationship from semiclassical quantum field theory in curved spacetime, predicting…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Ricardo Bulcão Valente Ferrari , Samuel Bueno Soltau

We discuss and compare different definitions of the entropy of a black hole. In particular we show that the thermodynamical entropy defined by the response of the free energy of a black hole to the change of temperature does not coincide…

High Energy Physics - Theory · Physics 2008-02-03 V. Frolov

Through direct thermodynamic calculations we have shown that different classical entropies of two-dimensional extreme black holes appear due to two different treatments, namely Hawking's treatment and Zaslavskii's treatment. Geometrical and…

General Relativity and Quantum Cosmology · Physics 2010-11-22 Bin Wang , Ru-Keng Su

Different approaches to quantum gravity conclude that black holes may possess an inner horizon, in addition to the (quantum corrected) outer `Schwarzschild' horizon. In this paper we assume the existence of this inner horizon and explain…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Ramon Torres

We discuss the interior of a black hole in quantum gravity, in which black holes form and evaporate unitarily. The interior spacetime appears in the sense of complementarity because of special features revealed by the microscopic degrees of…

High Energy Physics - Theory · Physics 2015-05-27 Yasunori Nomura , Fabio Sanches , Sean J. Weinberg

A feature shared by many regular black hole spacetimes is the occurrence of a Cauchy horizon. It is then commonly believed that this renders the geometry unstable against perturbations through the mass-inflation effect. In this work, we…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Alfio Bonanno , Amir-Pouyan Khosravi , Frank Saueressig

In this work, we investigate the thermodynamic and the stability of the regular Hayward black hole surrounded by quintessence. Using the metric of the black hole surrounded by quintessence and the new approach of the holographic principle,…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Kamiko Kouemeni Jean Rodrigue , Mahamat Saleh , Bouetou Bouetou Thomas , Timoleon Crepin Kofane

The horizon structure and thermodynamics of hairy spherically symmetric black holes generated by the gravitational decoupling method are carefully investigated. The temperature and heat capacity of the black hole is determined, as well as…

General Relativity and Quantum Cosmology · Physics 2022-07-11 Rogerio T. Cavalcanti , Kelvin dos S. Alves , Julio M. Hoff da Silva

In this paper, we study the polymer black hole solution surrounded by a quintessence field. The influence of quintessence on the polymer black hole is investigated through its thermodynamic properties, such as the Hawking temperature,…

General Relativity and Quantum Cosmology · Physics 2025-07-11 M. C. Araújo , J. G. Lima , C. R. Muniz , J. Furtado

The thermodynamic properties of dark energy-dominated universe in the presence of a black hole are investigated in the general case of a varying equation-of-state-parameter $w(a)$. We show that all the thermodynamics quantities are regular…

General Relativity and Quantum Cosmology · Physics 2015-03-14 Khireddine Nouicer