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Employing two classes of nonlinear electrodynamics, we obtain topological black hole solutions of Gauss-Bonnet gravity. We investigate geometric properties of the solutions and find that there is an intrinsic singularity at the origin. We…

General Relativity and Quantum Cosmology · Physics 2015-07-13 S. H. Hendi , S. Panahiyan , E. Mahmoudi

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

We have computed the thermodynamic properties of a rotating black holes in the presence of cold dark matter. The dependence of temperaure, Gibbs free energy, specific heat on the horizon radius have been studied for various values of…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Swapan Kumar Majhi

We extend an earlier investigation of the thermodynamics of static black holes in an Einstein-Horndeski theory of gravity coupled to a scalar field, by including now an elec- tromagnetic field as well. By studying the two-parameter families…

High Energy Physics - Theory · Physics 2016-02-17 Xing-Hui Feng , Hai-Shan Liu , H. Lü , C. N. Pope

Motivated by the violation of Lorentz invariancy in quantum gravity, we study black hole solutions in gravity's rainbow in context of Einstein gravity coupled with various models of nonlinear electrodynamics. We regard an energy dependent…

General Relativity and Quantum Cosmology · Physics 2018-10-22 S. H. Hendi , S. Panahiyan , B. Eslam Panah , M. Momennia

Black hole evaporation is investigated in a (1+1)-dimensional model of quantum gravity. Quantum corrections to the black hole entropy are computed, and the fine-grained entropy of the Hawking radiation is studied. A generalized second law…

High Energy Physics - Theory · Physics 2009-09-25 Thomas M. Fiola , John Preskill , Andrew Strominger , Sandip P. Trivedi

It is a common belief now that the explanation of the microscopic origin of the Bekenstein-Hawking entropy of black holes should be available in quantum gravity theory, whatever this theory will finally look like. Calculations of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dmitri V. Fursaev

Thermodynamic stability of black holes, described by the R\'enyi formula as equilibrium compatible entropy function, is investigated. It is shown that within this approach, asymptotically flat, Schwarzschild black holes can be in stable…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Viktor G. Czinner , Hideo Iguchi

We present a unified framework for the discussion of black hole thermodynamics of $d$-dimensional static black holes with spherical, toroidal or compact hyperbolic horizon topology satisfying $g_{tt}g_{rr}=-1$ in Schwarzschild gauge. To…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Johanna Borissova

In this paper, we use the holographic principle to obtain a modified metric of black holes that reproduces the exponentially corrected entropy. The exponential correction of the black hole entropy comes from non-perturbative corrections. It…

General Relativity and Quantum Cosmology · Physics 2024-03-14 Behnam Pourhassan , Hoda Farahani , Farideh Kazemian , İzzet Sakallı , Sudhaker Upadhyay , Dharm Veer Singh

In this paper, we consider a static black hole in $f(R)$ gravity. We recapitulate the expression for corrected thermodynamic entropy of this black hole due to small fluctuations around equilibrium. Also, we study the geometrothermodynamics…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Sudhaker Upadhyay , Saheb Soroushfar , Reza Saffari

In this work we obtain a static spherically symmetric charged black hole solution in the framework of minimal Horndeski gravity with additional Maxwell and Yang-Mills fields. The obtained solution is examined, in particular its asymptotics…

High Energy Physics - Theory · Physics 2023-09-27 M. M. Stetsko

We revisit the classical thermodynamic stability of the standard black hole solutions by implementing the intrinsic necessary and sufficient conditions for stable global and local thermodynamic equilibrium. The criteria for such equilibria…

General Relativity and Quantum Cosmology · Physics 2024-12-30 V. Avramov , H. Dimov , M. Radomirov , R. C. Rashkov , T. Vetsov

Recently it was demonstrated that by adding to the Einstein-Hilbert action a series in powers of the curvature invariants with specially chosen coefficients one can obtain a theory of gravity which has spherically symmetric solutions…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Valeri P. Frolov , Alex Koek , Jose Pinedo Soto , Andrei Zelnikov

Regular black holes offer a compelling framework to explore the consequences of resolving the central singularity of standard black holes. Using the Simpson-Visser "black-bounce" geometry as an elegant, analytically tractable framework, we…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Vinayak Joshi , Ashok B. Joshi

We present the thermodynamics of a charged and rotating BTZ black holes here. In particular, we derive expressions for various macroscopic thermal quantities such as entropy, Hawking temperature, Helmholtz free energy, internal energy,…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Sudhaker Upadhyay , Nadeem-ul-islam , Prince A. Ganai

To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such ``horizon constraints'' allow the use of conformal…

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

We consider the effects of rotations on the calculation of some thermodynamical quantities like the free energy, internal energy and entropy. In ordinary gravity, when we evaluate the density of states of a scalar field close to a black…

General Relativity and Quantum Cosmology · Physics 2019-07-09 Remo Garattini

We review some recent advances in black hole thermodynamics, including statistical mechanical origins of black hole entropy and its leading order corrections, from the viewpoints of various quantum gravity theories. We then examine the…

High Energy Physics - Theory · Physics 2008-11-26 Saurya Das

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
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