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The present equilibrium formulation of thermodynamics for black holes has several drawbacks, such as assuming the same temperature for black hole and heat bath. Recently the author formulated non-equilibrium thermodynamics for glassy…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

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

The topic of this conference is ``The Chaotic Universe''. One of the main achievements of last century has been to relate chaos in fluids to their thermodynamics. It is our purpose to make connection between chaos in gravitation and…

Statistical Mechanics · Physics 2018-03-28 Theo M. Nieuwenhuizen

We trace the origins and development of black hole thermodynamics across the past half-century, emphasizing the framework's relation to classical thermodynamics, and the vital role played by the notions of equilibrium, stationarity, and…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Fil Simovic

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

We consider the generalized laws of thermodynamics in massive gravity. Making use of explicit black hole solutions, we devise black hole merger processes in which i) total entropy of the system decreases ii) the zero-temperature extremal…

General Relativity and Quantum Cosmology · Physics 2011-04-19 Fabio Capela , Peter G. Tinyakov

Thermodynamics of a large family of black holes from electrovacuum solutions of Einstein's equations is studied. This family includes rotating and non-accelerating black holes with NUT charge, and rotating and accelerating black holes. The…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Muhammad Bilal , K. Saifullah

Black holes have often provided profound insights into the nature of gravity and the structure of space-time. The study of the mathematical properties of black objects is a major research theme of contemporary theoretical physics. This…

High Energy Physics - Theory · Physics 2019-05-14 Sudipta Sarkar

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

Starting from the second law of thermodynamics applied to an isolated system consisting of the system surrounded by an extremely large medium, we formulate a general non-equilibrium thermodynamic description of the system when it is out of…

Statistical Mechanics · Physics 2015-05-14 P. D. Gujrati

The first law of black hole thermodynamics can be read off from the field equations at the horizon. Until now, for black holes with multiple horizons the field equations only at the outer horizon were employed with a particular constraint.…

General Relativity and Quantum Cosmology · Physics 2013-10-21 Yongjoon Kwon , Soonkeon Nam

The thermal balance between the black hole and surrounding thermal radiation is an interesting topic. The primordial black hole is a type of black hole formed in the early universe, especially during the thermal radiation period of the…

General Relativity and Quantum Cosmology · Physics 2021-12-02 Ruifeng Zheng

We review the present status of black hole thermodynamics. Our review includes discussion of classical black hole thermodynamics, Hawking radiation from black holes, the generalized second law, and the issue of entropy bounds. A brief…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Robert M. Wald

The almost perfect correspondence between certain laws of classical black hole mechanics and the ordinary laws of thermodynamics is spoiled by the failure of the conventional back hole analogue of the third law. Our aim here is to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Istvan Racz

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

Since the 1970's it has been known that black hole (and other) horizons are truly thermodynamic in nature. More generally, surfaces which are not horizons have also been conjectured to behave thermodynamically. Initially, for surfaces…

General Relativity and Quantum Cosmology · Physics 2022-07-12 Zhi-Wei Wang , Samuel L. Braunstein

Thermodynamic relations are derived from first principles of mechanics for non-equilibrium processes. Since the key role herein is played by the law of increase of entropy, the latter is analyzed at first. It is shown that its derivation…

chao-dyn · Physics 2008-02-03 J. Kumicak , X. de Hemptinne

We investigate the dynamic and thermodynamic laws governing rotating regular black holes. By analyzing dynamic properties, i.e., the interaction between scalar particles and rotating regular black holes, we establish the criteria that…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Hao Yang , Chang-Jiang Yu , Yan-Gang Miao

Although the fundamental equations of ordinary thermodynamic systems are known to correspond to first-degree homogeneous functions, in the case of non-ordinary systems like black holes the corresponding fundamental equations are not…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Hernando Quevedo , Maria N. Quevedo , Alberto Sanchez

Equilibrium is a rather ideal situation, the exception rather than the rule in Nature. Whenever the external or internal parameters of a physical system are varied its subsequent relaxation to equilibrium may be either impossible or take…

Statistical Mechanics · Physics 2016-10-04 Leticia F. Cugliandolo
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