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The first part of this work provides a review of recent research on generalised entropies and their origin, as well as its application to black hole thermodynamics. To start, it is shown that the Hawking temperature and the…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov

This is an introductory, up-to-date review of the essentials of black hole thermodynamics. The main topics surveyed are: (i) the four laws of thermodynamics as applied to a black hole horizon, and the current status of their proofs; (ii)…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Aron C. Wall

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity\cite{rst1}, using recently developed Noether charge techniques\cite{wald1}. This latter approach is extended to accomodate the non-local form of the…

High Energy Physics - Theory · Physics 2010-11-01 Robert C. Myers

We study the thermodynamical properties of black holes when described as gases of indistinguishable punctures with a chemical potential. In this picture, which arises from loop quantum gravity, the black hole microstates are defined by…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Olivier Asin , Jibril Ben Achour , Marc Geiller , Karim Noui , Alejandro Perez

Space-time singularities, viz. Big bang, Big crunch and black holes have been shown to follow from the singularity theorems of General relativity. Whether the entropy at such infinite proper-time objects can be other than zero has also been…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Akinbo Ojo

We propose intuitive derivations of the Hawking temperature and the Bekenstein-Hawking entropy of a Schwarzschild black hole.

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. R. Silva

We present a statistical mechanical calculation of the thermodynamical properties of (non rotating) isolated horizons. The introduction of Planck scale allows for the definition of an universal horizon temperature (independent of the mass…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Amit Ghosh , Alejandro Perez

The entropy of a Ba\~nados, Teitelboim, and Zanelli black hole in topologically massive gravity had been given with the form inconsistent with the Bekenstein-Hawking entropy. In the paper, we provide a consistent statistical interpretation…

High Energy Physics - Theory · Physics 2013-12-12 Baocheng Zhang

As in thermodynamics, the celebrated first law of black hole mechanics relates infinitesimal changes in the properties of nearby equilibrium states of black holes (without reference to any physical process that causes the transition). Using…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Abhay Ashtekar , Daniel E. Paraizo , Jonathan Shu

By using the canonical Hamiltonian method, we obtain the mass and entropy of the black holes with general dynamical coupling constant $\lambda$ in Ho\v{r} ava-Lifshitz Gravity. Regardless of whether the horizon is sphere, plane or…

High Energy Physics - Theory · Physics 2009-09-28 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

Not only is the Bekenstein expression for the entropy of a black hole a convex function of the energy, rather than being a concave function as it must be, it predicts a final equilibrium temperature given by the harmonic mean. This violates…

General Physics · Physics 2012-06-05 B. H. Lavenda

The statistical origin of the entropy of charged black holes in models of induced Einstein-Maxwell gravity is investigated. The constituents inducing the Einstein-Maxwell action are charged and interact with an external gauge potential.…

High Energy Physics - Theory · Physics 2009-10-31 V. P. Frolov , D. V. Fursaev

Entanglement entropy is often speculated as a strong candidate for the origin of the black-hole entropy. To judge whether this speculation is true or not, it is effective to investigate the whole structure of thermodynamics obtained from…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shinji Mukohyama , Masafumi Seriu , Hideo Kodama

We calculate the intrinsic entropy of a Schwarzschild black hole in an asymptotically antide Sitter space. The statistical calculation of the entropy is based on a model for particle structure that leads to confinement. The constituents of…

General Relativity and Quantum Cosmology · Physics 2019-07-15 Moorad Alexanian

Several results of black holes thermodynamics can be considered as firmly founded and formulated in a very general manner. From this starting point we analyse in which way these results may give us the opportunity to gain a better…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. P. Badiali

We find a new black hole in three dimensional anti-de Sitter space by introducing an anisotropic perfect fluid inspired by the noncommutative black hole. This is a regular black hole with two horizons. We compare thermodynamics of this…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Yun Soo Myung , Myungseok Yoon

One of the challenges of today's theoretical physics is to fully understand the connection between a geometrical object like area and a thermostatistical one like entropy, since area behaves analogously like entropy. The Bekenstein bound…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Everton M. C. Abreu , Jorge Ananias Neto

We propose a quantum description of black holes. The degrees of freedom to be quantized are identified with the microscopic degrees of freedom of the horizon, and their dynamics is governed by the action of the relatistic bosonic membrane…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Maggiore

In this paper, we successfully derive the Bekenstein-Hawking entropy for Schwarzschild black holes in various dimensions by using a non-trivial phase space. It is appealing to notice that the thermodynamics of a Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2020-05-05 Yong Xiao

The analogy between the laws of black hole mechanics and the laws of thermodynamics led Bekenstein and Hawking to argue that black holes should be considered as real thermodynamic systems that are characterised by entropy and temperature.…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Dimitris Moustos
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