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Non-rotating black holes in three and four dimensions are shown to possess a canonical entropy obeying the Bekenstein-Hawking area law together with a leading correction (for large horizon areas) given by the logarithm of the area with a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ashok Chatterjee , Parthasarathi Majumdar

Black holes are thermodynamic objects, but despite recent progress, the ultimate statistical mechanical origin of black hole temperature and entropy remains mysterious. Here I summarize an approach in which the entropy is viewed as arising…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Steven Carlip

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

We rederive the universal bound on entropy with the help of black holes while allowing for Unruh--Wald buoyancy. We consider a box full of entropy lowered towards and then dropped into a Reissner--Nordstr\"om black hole in equilibrium with…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Jacob D. Bekenstein

This paper deals with the thermodynamical properties of black hole formulated in Einstein theory of relativity and associated with a nonlinear electromagnetic field. The transition of the black hole is analyzed using the parameters mass,…

General Relativity and Quantum Cosmology · Physics 2023-05-31 G. Abbas , R. H. Ali

We study the black hole thermodynamics and obtain the correction terms for temperature, entropy, and heat capacity of the Schwarzschild black hole, resulting from the commutation relations in the framework of {\it Modified Generalized…

General Relativity and Quantum Cosmology · Physics 2015-06-05 K. Zeynali , F. Darabi , H. Motavalli

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum

In this paper, we study the thermodynamical properties of the (2+1)dimensional black hole with a non-linear electrodynamics and without cosmological constant using the Generalized Uncertainty Principle (GUP). This approach shows that there…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alexis Larranaga

A brief overview of the discovery that macroscopic black holes are thermodynamical systems is presented. They satisfy the laws of thermodynamics and are associated with a temperature and an entropy equal to one quarter of their horizon area…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Alejandro Perez

We review recent progress in understanding certain aspects of the thermodynamics of black holes and other horizons. Our discussion centers on various ``entropy bounds'' which have been proposed in the literature and on the current…

High Energy Physics - Theory · Physics 2017-08-23 Donald Marolf

Black holes behave as thermodynamic systems, and a central task of any quantum theory of gravity is to explain these thermal properties. A statistical mechanical description of black hole entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We investigate both the ``physical process'' version of the first law and the second law of black hole thermodynamics for charged and rotating black holes. We begin by deriving general formulas for the first order variation in ADM mass and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sijie Gao , Robert M. Wald

We study the low temperature expansion of the first law of thermodynamics for near-extremal black holes. We show that for extremal black holes with non-vanishing entropy, the leading order contribution yields an expression for their…

High Energy Physics - Theory · Physics 2013-12-04 Maria Johnstone , M. M. Sheikh-Jabbari , Joan Simon , Hossein Yavartanoo

We study the evolution of black hole entropy and temperature in collapse scenarios, finding three generic lessons. First, entropy evolution is extensive. Second, at large times, entropy and temperature ring with twice the frequency of the…

High Energy Physics - Theory · Physics 2016-11-09 Aron Jansen , Javier M. Magan

In this second part of our series of two papers, where spacetime is modelled by a graph, where Planck size quantum black holes lie on the vertices, we consider the thermodynamics of spacetime. We formulate an equation which tells in which…

General Relativity and Quantum Cosmology · Physics 2009-10-21 J. Makela

Modes of physical fields which are located inside a horizon and which cannot be observed by a distant observer are identified with dynamical degrees of freedom of a black hole. A new invariant statistical mechanical definition of a…

General Relativity and Quantum Cosmology · Physics 2021-01-05 Valery Frolov , Igor Novikov

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

Motivated by some earlier works \cite{pavon,sadjadi} dealing with the study of generalized second law (GSL) of thermodynamics for a system comprising of a Schwarzschild black accreting a test non-self-gravitating fluid namely phantom energy…

General Relativity and Quantum Cosmology · Physics 2012-07-17 Mubasher Jamil , D. Momeni , Kazuharu Bamba , Ratbay Myrzakulov

Asymptotically AdS rotating black holes for the Bergshoeff-Hohm-Townsend (BHT) massive gravity theory in three dimensions are considered. In the special case when the theory admits a unique maximally symmetric solution, apart from the mass…

High Energy Physics - Theory · Physics 2010-03-25 Gaston Giribet , Julio Oliva , David Tempo , Ricardo Troncoso

Hawking showed that a black hole formed by collapse will emit radiation and eventually disappear. We address the challenge to define an objective notion of physical entropy which increases throughout this process in a way consistent with…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Bernard S. Kay
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