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The black hole singularity problem was proposed by Hawking and Penrose, and regular black holes serve as an important class of models to address this issue. However, the study of regular black hole thermodynamics has long faced a…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz

In this work, we re-assess a class of black hole solutions in a global monopole spacetime in the framework of an $f(R)$-gravity model. Our main line of investigation consists in considering a region close enough to the black hole, but such…

We investigate the thermodynamical properties of black holes in (3+1) and (2+1) dimensional Einstein gravity with a negative cosmological constant. In each case, the thermodynamic internal energy is computed for a finite spatial region that…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. D. Brown , J. Creighton , R. B. Mann

We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with nonlinear electrodynamics with the Lagrangian ${\cal L}_{NED} = -{\cal F}/(1+\sqrt{2\mid\beta{\cal…

General Relativity and Quantum Cosmology · Physics 2021-04-19 S. I. Kruglov

We consider leading order quantum corrections to the geometry of large AdS black holes in a spherical reduction of four-dimensional Einstein gravity with negative cosmological constant. The Hawking temperature grows without bound with…

High Energy Physics - Theory · Physics 2009-06-19 Samuli Hemming , Larus Thorlacius

In this paper, we consider higher order correction of the entropy and study the thermodynamical properties of recently proposed Schwarzschild-Beltrami-de Sitter black hole, which is indeed an exact solution of Einstein equation with a…

General Physics · Physics 2020-06-19 Behnam Pourhassan , Hoda Farahani , Sudhaker Upadhyay

Quantum gravitational corrections to black holes are studied in four and higher dimensions using a renormalisation group improvement of the metric. The quantum effects are worked out in detail for asymptotically safe gravity, where the…

High Energy Physics - Theory · Physics 2012-03-05 Kevin Falls , Daniel F. Litim , Aarti Raghuraman

Quantum gravity corrections to accretion onto a Schwarzschild black hole are considered in the context of asymptotically safe scenario. The possible positions of the critical points are discussed and the general conditions for critical…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Rong-Jia Yang

The unusual asymptotic structure of the accelerating black holes led to ambiguity in their geometric characteristics and thermodynamic behavior. Motivated by the interesting properties of such black holes and the significant role of…

High Energy Physics - Theory · Physics 2021-08-20 Kh. Jafarzade , J. Sadeghi , B. Eslam Panah , S. H. Hendi

A model of nonlinear electrodynamics with two parameters, coupled with general relativity, is investigated. We study the magnetized black hole and obtain solutions. The asymptotic of the metric and mass functions at $r\rightarrow\infty$ and…

General Relativity and Quantum Cosmology · Physics 2017-08-24 S. I. Kruglov

A slowly rotating black hole solution in Einstein-Maxwell-dilaton gravity was considered. Having used the obtained solution we investigated thermodynamic functions such as black hole's temperature, entropy and heat capacity. In addition to…

High Energy Physics - Theory · Physics 2019-03-27 M. M. Stetsko

Attention is paid to the fact that temperature of a classical black hole can be derived from the extremality condition of its free energy with respect to variation of the mass of a hole. For a quantum Schwarzschild black hole evaporating…

High Energy Physics - Theory · Physics 2009-12-30 D. V. Fursaev

We point out that with a specific counting of states loop quantum gravity implies that black holes perform a phase transition at a certain characteristic temperature $T_C$. In this phase transition the punctures of the spin network on the…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Jarmo Mäkelä

We perform the gauge covariant quantization of the exponential model of nonlinear electrodynamics. Magnetically charged black holes, in the framework of our model are considered, and the regular black hole solution is obtained in general…

General Relativity and Quantum Cosmology · Physics 2017-03-14 S. I. Kruglov

We investigate the tunneling phenomenon of particles through the horizon of a magnetized Ernst-like black hole. We employ the modified Lagrangian equation with the extended uncertainty principle for this black hole. We determine a tunneling…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Riasat Ali , Zunaira Akhtar , Kazuharu Bamba , M. Umar Khan

Following earlier study regarding Einstein-Gauss-Bonnet-massive black holes in the presence of Born-Infeld nonlinear electromagnetic field [S. H. Hendi, B. Eslam Panah and S. Panahiyan, arXiv:1510.00108], we study thermodynamical structure…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Seyed Hossein Hendi , Gu-Qiang Li , Jie-Xiong Mo , Shahram Panahiyan , Behzad Eslam Panah

The Hawking temperature for Schwarzschild black hole $T_H=1/8\pi M$ is singular in the limit of vanishing mass $M\to 0$. However, the Schwarzschild metric itself is regular in this limit, it is reduced to the Minkowski metric and there are…

High Energy Physics - Theory · Physics 2021-04-27 Irina Aref'eva , Igor Volovich

Based on the modification to area-law due to thermal fluctuation at small horizon radius, we investigate the thermodynamics of charged quasitopological and charged rotating quasitopological black holes. In particular, we derive the…

General Relativity and Quantum Cosmology · Physics 2017-11-16 Sudhaker Upadhyay

We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational…

High Energy Physics - Theory · Physics 2014-11-21 Yi-Fu Cai , Damien A. Easson

We study thermodynamics and critical behaviors of higher-dimensional Lovelock black holes with non-maximally symmetric horizons in the canonical ensemble of extended phase space. The effects from non-constancy of the horizon of the black…

General Relativity and Quantum Cosmology · Physics 2021-08-17 N. Farhangkhah , Z. Dayyani