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The comparison of geometrical properties of black holes with classical thermodynamic variables reveals surprising parallels between the laws of black hole mechanics and the laws of thermodynamics. Since Hawking's discovery that black holes…

History and Philosophy of Physics · Physics 2019-03-18 Carina E. A. Prunkl , Christopher G. Timpson

We review the remarkable relationship between the laws of black hole mechanics and the ordinary laws of thermodynamics. It is emphasized that - in analogy with the laws of thermodynamics - the validity the laws of black hole mechanics does…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert M. Wald

A deeper understanding of the thermal properties of black holes than we presently have depends to a large degree on obtaining a firmer grasp of the properties of the entropy. For such an understanding we must at least know the basic…

General Relativity and Quantum Cosmology · Physics 2012-08-27 James. W. York,

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

Black holes exist all over our Universe, possessing a very wide range of masses. At the moment, they serve as a probe to test general relativity at astrophysical scales, but in the future they may also give us information about gravity at…

High Energy Physics - Theory · Physics 2025-10-24 Tiago V. Fernandes

Many fundamental issues remain for black hole thermodynamics after almost half a century of its conception. For example, what are the underlying degrees of freedom of a black hole horizon that give rise to said thermodynamical properties?…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Yen Chin Ong

There would be a perfect correspondence between the laws of classical thermodynamics and black hole thermodynamics, except for the apparent failure of black hole thermodynamics to correspond to the Third Law. The classical Third Law of…

General Physics · Physics 2007-05-23 A. J. Meyer

During the past 30 years, research in general relativity has brought to light strong hints of a very deep and fundamental relationship between gravitation, thermodynamics, and quantum theory. The most striking indication of such a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Robert M. Wald

It is known that static and spherically symmetric black hole solutions of general relativity in different spacetimes can be embedded into higher dimensional flat spacetime. Given this result, we have explored the thermodynamic nature of…

General Relativity and Quantum Cosmology · Physics 2019-10-29 T. R. Govindarajan , Sumanta Chakraborty

Black holes monopolize nowadays the center stage of fundamental physics. Yet, they are poorly understood objects. Notwithstanding, from their generic properties, one can infer important clues to what a fundamental theory, a theory that…

General Relativity and Quantum Cosmology · Physics 2008-04-05 José P. S. Lemos

In this article, we present a study on thermodynamics of a class of regular black holes. Such a class includes Bardeen and Hayward regular black holes. We obtained thermodynamic quantities like the Hawking temperature, entropy, and heat…

General Relativity and Quantum Cosmology · Physics 2018-05-15 R. V. Maluf , Juliano C. S. Neves

Comparing black hole thermodynamics with the axiomatic formulation of thermodynamics for laboratory systems, it is found that some basic assumptions (required by experimental facts) in laboratory thermodynamics do not hold for black hole…

General Relativity and Quantum Cosmology · Physics 2013-03-20 Hiromi Saida

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 study a spherical black hole surrounded by a hot self-gravitating thin shell in the canonical ensemble, i.e., a black hole and a hot shell inside a heat reservoir acting as a boundary with its area and temperature fixed. To work out the…

High Energy Physics - Theory · Physics 2023-11-07 José P. S. Lemos , O. B. Zaslavskii

Systems at finite temperature make up the vast majority of realistic physical scenarios. Indeed, although zero temperature is often accompanied by simpler mathematics, the richness in physical results is evident when one considers the…

General Relativity and Quantum Cosmology · Physics 2020-05-29 Gonçalo M. Quinta

Black holes are some of the most interesting objects in the universe. While they first arise in the complicated behavior of general relativity, the physical laws ruling their behavior are surprisingly simple. For example, one of the core…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Caio César Rodrigues Evangelista , Níckolas de Aguiar Alves

These notes introduce basic aspects of black hole thermodynamics. I review the classical laws of black hole mechanics, give a brief introduction to the essential concepts of quantum field theory in curved spacetime, and derive the Unruh and…

High Energy Physics - Theory · Physics 2007-05-23 Simon F. Ross

We have known for more than thirty years that black holes behave as thermodynamic systems, radiating as black bodies with characteristic temperatures and entropies. This behavior is not only interesting in its own right; it could also,…

General Relativity and Quantum Cosmology · Physics 2009-01-28 Steven Carlip

I present in detail the case for regarding black hole thermodynamics as having a statistical-mechanical explanation in exact parallel with the statistical-mechanical explanation believed to underly the thermodynamics of other systems. (Here…

General Relativity and Quantum Cosmology · Physics 2018-06-18 David Wallace

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
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