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The phase transition has always been a major focus in the study of black hole thermodynamics. This study employs the Kramer escape rate from stochastic processes to investigate the first-order phase transition strength between the large and…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Yu-Shan Wang , Zhen-Ming Xu , Bin Wu

Near-extremal black holes are subject to large quantum effects, which modify their low-temperature thermodynamic behavior. Hitherto, these quantum effects were analyzed by separating the geometry into the near-horizon region and its…

High Energy Physics - Theory · Physics 2025-10-06 Maciej Kolanowski , Donald Marolf , Ilija Rakic , Mukund Rangamani , Gustavo J. Turiaci

We study the thermodynamics of a class of four-dimensional black hole solutions arising from the compactification of a higher-curvature gravity theory featuring an infinite tower of Lovelock-type invariants. For planar horizons, we identify…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Adolfo Cisterna , Mokhtar Hassaine , Ulises Hernandez-Vera

We quantize the spherically symmetric sector of generic charged black holes. Thermal properties are encorporated by imposing periodicity in Euclidean time, with period equal to the inverse Hawking temperature of the black hole. This leads…

High Energy Physics - Theory · Physics 2010-11-19 Andrei Barvinsky , Saurya Das , Gabor Kunstatter

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

We investigate the properties of the Schwarzschild black hole geometry involving leading one-loop long-distance quantum effects, which arise within the framework of effective field theories of gravity. Our analysis reveals that geodesic…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Zi-Liang Wang , Emmanuele Battista

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain…

General Relativity and Quantum Cosmology · Physics 2016-08-24 H. Quevedo , M. N. Quevedo , A. Sanchez

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 paper deals with Hawking radiation related to non-static spherically symmetric black hole. Quantum corrections are incorporated using Hamilton-Jacobi method beyond semi-classical approximation. It is found that different order…

General Relativity and Quantum Cosmology · Physics 2012-10-01 Nairwita Mazumder , Ritabrata Biswas , Subenoy Chakraborty

Under the framework of thermodynamics, the phase transition of the black hole is a general issue in general relativity. In this work, the phase transition of charged black holes is discussed carefully. The metric tensor of thermodynamics is…

General Physics · Physics 2024-05-09 Bobin Li

The thermodynamical one-loop entropy $S^{TD}$ of a two-dimensional black hole in thermal equilibrium with the massless quantum gas is calculated. It is shown that $S^{TD}$ includes the Bekenstein-Hawking entropy, evaluated for the quantum…

High Energy Physics - Theory · Physics 2009-10-30 V. P. Frolov , D. V. Fursaev , A. I. Zelnikov

This thesis is focussed to study various aspects of black hole physics. Our approach is a semi-classical type, where the spacetime geometry of black holes is considered to be classical but the fields moving in the background are quantum in…

General Relativity and Quantum Cosmology · Physics 2012-09-18 Sujoy Kumar Modak

We consider the class of metrics that can be obtained from those of nonextreme black holes by limiting transitions to the extreme state such that the near-horizon geometry expands into a whole manifold. These metrics include, in particular,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. B. Zaslavskii

In this paper, we study quantum corrections to the temperature and entropy of a regular Ay\'{o}n-Beato-Garc\'{\i}a-Bronnikov black hole solution by using tunneling approach beyond semiclassical approximation. We use the first law of black…

General Relativity and Quantum Cosmology · Physics 2015-05-30 M. Sharif , Wajiha Javed

We study the thermodynamic properties of the Reissner-Nordstr\"om black hole with cosmological constant, expressed in terms of the curvature radius, by using the approach of shadow thermodynamics and the formalism of geometrothermodynamics.…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Jose M. Ladino , Carlos E. Romero-Figueroa , Hernando Quevedo

In this paper, we utilize the effective corrections of the $\bar{\mu}$-scheme in loop quantum black holes to obtain a 4-dimensional spherically symmetric metric with a cosmological constant. By imposing the areal gauge on the components of…

General Relativity and Quantum Cosmology · Physics 2024-07-10 Jianhui Lin , Xiangdong Zhang

The expanding application of classical thermodynamic methods to black hole physics has yielded significant advances in characterizing phase transition behavior. Among these approaches, thermodynamic analysis -- particularly kinetic…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Mohammad Ali S. Afshar , Saeed Noori Gashti , Mohammad Reza Alipour , Jafar Sadeghi

In this paper, we consider a charged rotating AdS black holes in four dimensions and study the effects of leading-order thermal corrections on the thermodynamics of such system explicitly. The first-order corrected thermodynamical…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Sudhaker Upadhyay

In this paper, we discuss the effect of small statistical thermal fluctuations around the equilibrium on the thermodynamics of small non-rotating BTZ black hole. This is done by evaluating the leading-order corrections to the…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Nadeem-ul-islam , Prince A. Ganai , Sudhaker Upadhyay

We investigate the thermodynamics of phase transition for $ (n+1) $ dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Rabin Banerjee , Dibakar Roychowdhury