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The extended black hole thermodynamics in which the cosmological constant plays the role of pressure significantly enriches the phase structure of the theory. In order to understand the extended black hole thermodynamics more precisely, we…

General Relativity and Quantum Cosmology · Physics 2022-01-05 De-Chang Dai , Djordje Minic , Dejan Stojkovic

We consider scalar-tensor gravity with nonminimal derivative coupling and Born-Infeld electromagnetic field which is minimally coupled to gravity. Since cosmological constant is taken into account it allowed us not only derive static black…

High Energy Physics - Theory · Physics 2020-05-22 M. M. Stetsko

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

This letter presents a new, solely thermodynamical argument for considering the states of the quantum isolated horizon of a black hole as distinguishable. We claim that only if the states are distinguishable, the thermodynamic entropy is an…

General Relativity and Quantum Cosmology · Physics 2016-11-26 Andreas G. A. Pithis

As early as 1902, Gibbs pointed out that systems whose partition function diverges, e.g. gravitation, lie outside the validity of the Boltzmann-Gibbs (BG) theory. Consistently, since the pioneering Bekenstein-Hawking results, physically…

Statistical Mechanics · Physics 2013-07-08 Constantino Tsallis , Leonardo J. L. Cirto

Jacobson's thermodynamic derivation of the Einstein equations was originally applied only to local Rindler horizons. But at least some parts of that construction can usefully be extended to give meaningful results for arbitrary bifurcate…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Valentina Baccetti , Matt Visser

In black hole physics, the second law of thermodynamics is generally valid whether the black hole is a static or a non-static one. Considering the universe as a thermodynamical system the second law of black hole dynamics extends to the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Subenoy Chakraborty , Nairwita Mazumder , Ritabrata Biswas

We explore the thermodynamics and geothermodynamics of black holes with Barrow entropy in a brane-world scenario, where the horizon geometry of the black hole is regarded as a fractal structure. Our analysis reveals the behavior of heat…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Usman Zafar , Abdul Jawad , Kazuharu Bamba , Mohammad Ali S. Afshar , Mohammad Reza Alipour , Saeed Noori Gashti , Jafar Sadeghi

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

After studying the energy-momentum relation of charged particles' Hamilton-Jacobi equations, we discuss the laws of thermodynamics and the weak cosmic censorship conjecture in torus-like black holes. We find that both the first law of…

High Energy Physics - Theory · Physics 2019-05-01 Yi-Wen Han , Xiao-Xiong Zeng , Yun Hong

Statistical mechanics explains thermodynamics in terms of (quantum) mechanics by equating the entropy of a microstate of a closed system with the logarithm of the number of microstates in the macrostate to which it belongs, but the question…

High Energy Physics - Theory · Physics 2007-05-23 Bernard S. Kay

A key test of any quantum theory of gravity is its ability to reproduce the known thermodynamic properties of black holes. A statistical mechanical description of the Bekenstein-Hawking entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Steven Carlip

We here propose a covariant entropy conjecture on cosmological dynamical horizon. After the formulation of our conjecture, we test its validity in adiabatically expanding universes with open, flat and closed spatial geometry, where our…

High Energy Physics - Theory · Physics 2008-11-26 Song He , Hongbao Zhang

We develop a non-extensive thermodynamic framework for Reissner--Nordstr\"om black holes based on a near-horizon photon-gas model within Tsallis statistics. We derive the generalized Bekenstein--Hawking entropy based on such an approach,…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Phuwadon Chunaksorn , Ratchaphat Nakarachinda , Pitayuth Wongjun

The discovery of cosmic acceleration has presented a unique challenge for cosmologists. As observational cosmology forges ahead, theorists have struggled to make sense of a standard model that requires extreme fine tuning. This challenge is…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 Chanda Prescod-Weinstein , Niayesh Afshordi , Michael L. Balogh

A criterion of thermal stability is derived for electrically charged quantum} black holes having large horizon area (compared to Planck area), as an inequality between the mass of the black hole and its microcanonical entropy. The…

General Relativity and Quantum Cosmology · Physics 2012-06-07 Abhishek Majhi , Parthasarathi Majumdar

An accelerating observer sees a thermal bath of radiation at the Hawking temperature which is proportional to the acceleration. Also, in string theory there is a Hagedorn temperature beyond which one cannot go without an infinite amount of…

High Energy Physics - Theory · Physics 2011-07-19 Michael McGuigan

Inspired by the idea that the cosmological constant can be considered as a dynamical quantity, we present a scenario bridging certain swampland conjectures from a new look at thermodynamics of black holes. Dealing with the radial metric…

High Energy Physics - Theory · Physics 2026-05-25 Saad Eddine Baddis , Adil Belhaj , Hajar Belmahi , Salah Eddine Ennadif

In this review we describe statistical mechanics of quantum systems in the presence of a Killing horizon and compare statistical-mechanical and one-loop contributions to black hole entropy. Studying these questions was motivated by attempts…

High Energy Physics - Theory · Physics 2009-10-31 Valeri Frolov , Dmitri Fursaev

It was shown recently that, in the case of Schwarschild black hole, one can obtain the correct thermodynamic relations by studying a model quantum system and using a particular duality transformation. We study this approach further for the…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Sudipta Sarkar , T. Padmanabhan