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The perturbation correction of general relativity has obtained the general relationship between entropy and extremality. The relation was found to exactly hold for the charged AdS black hole, and extended to the rotating and massive gravity…

General Relativity and Quantum Cosmology · Physics 2020-05-05 Qiuhong Chen , Wei Hong , Jun Tao

In [Phys. Rev. Lett. 124, 101103 (2020)], a universal relation between corrections to entropy and extremality was proposed. The relation was also found to exactly hold for the four-dimensional charged AdS black hole. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Shao-Wen Wei , Ke Yang , Yu-Xiao Liu

Logarithmic corrections to the entropy of extremal black holes have proven effective in precisely matching the microscopic degeneracies obtained from string-theoretic as well as a non-perturbative quantum correction manifests as an…

High Energy Physics - Theory · Physics 2025-04-23 Ankit Anand

Perturbative corrections to General Relativity alter the expressions for both the entropy of black holes and their extremality bounds. We prove a universal relation between the leading corrections to these quantities. The derivation is…

High Energy Physics - Theory · Physics 2020-03-18 Garrett Goon , Riccardo Penco

The universal thermodynamic relations between corrections to entropy and extremality for various black holes solutions have been studied. In this regard, we hereby consider a number of different black brane solutions in different structures…

General Relativity and Quantum Cosmology · Physics 2022-11-22 J. Sadeghi , B. Pourhassan , S. Noori Gashti , S. Upadhyay

We discuss the entropy-area relation for the small black holes with higher curvature corrections by using the entropy function formalism and field redefinition method. We show that the entropy $S_{BH}$ of small black hole is proportional to…

High Energy Physics - Theory · Physics 2008-11-26 Rong-Gen Cai , Chiang-Mei Chen , Kei-ichi Maeda , Nobuyoshi Ohta , Da-Wei Pang

We introduce a magnetically charged extremal regular black hole in the coupled system of Einstein gravity and nonlinear electrodynamics. Its near horizon geometry is given by $AdS_2\times S^2$. It turns out that the entropy function…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

Our primary goal in this paper is to confirm new universal relations in black hole thermodynamics. We investigate the universal relations by selecting different black holes. First, we obtain the black holes' thermodynamic relations assuming…

General Physics · Physics 2023-02-13 J. Sadeghi , B. Pourhassan , S. Noori Gashti , S. Upadhyay , E. Naghd Mezerji

We study the validity of Bekenstein's entropy bound for a charged black hole in the context of nonlinear electrodynamics. Bekenstein's inequalities are commonly understood as universal relations between the entropy, the charge, the…

General Relativity and Quantum Cosmology · Physics 2021-04-30 F. T. Falciano , M. L. Peñafiel , J. C. Fabris

We comprehensively discuss various microscopic approaches to the Bekenstein-Hawking entropy for rotating, electrically charged, asymptotically AdS$_4$ non-extremal black holes in gauged supergravity. We apply the covariant phase space…

High Energy Physics - Theory · Physics 2026-04-17 Jun Nian , Leopoldo A. Pando Zayas , Wenni Zheng

A series of corrections to general relativity have recently been applied to find the relationship between entropy and extremality-bound black holes. This relationship has been investigated for many black holes, such as charged AdS,…

General Relativity and Quantum Cosmology · Physics 2022-08-03 Jafar Sadeghi , Saeed Noori Gashti , Izzet Sakalli , Behnam Pourhassan

We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS$_4$ electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and…

High Energy Physics - Theory · Physics 2022-05-02 Marina David , Jun Nian

The first part of this work provides a review of recent research on generalised entropies and their origin, as well as its application to black hole thermodynamics. To start, it is shown that the Hawking temperature and the…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov

After summarizing the development of black hole thermodynamics in the seventies, we describe a recent microscopic model. This model suggests that the Bekenstein-Hawking area formula holds for extremal black holes as well as for ordinary…

High Energy Physics - Theory · Physics 2008-02-03 P. Mitra

A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter (adS) is generalized to include entanglement entropy of black holes living…

High Energy Physics - Theory · Physics 2009-11-11 Sergey N. Solodukhin

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Abdel Nasser Tawfik , Eiman Abou El Dahab

We consider the extremal limit of a black hole geometry of the Reissner-Nordstrom type and compute the quantum corrections to its entropy. Universally, the limiting geometry is the direct product of two 2-dimensional spaces and is…

High Energy Physics - Theory · Physics 2016-09-06 Robert B. Mann , Sergey N. Solodukhin

In this paper, an in-depth investigation of the thermodynamic relations for AdS Reissner-Nordstr$\ddot{o}$m black holes immersed in perfect fluid dark matter (PFDM) is presented. This investigation is conducted within both the restricted…

High Energy Physics - Theory · Physics 2025-12-23 Hai-Long Zhen , Jian-Hua Shi , Huai-Fan Li , Meng-Sen Ma , Yu-Bo Ma

A universal relation between the leading correction to the entropy and extremality was gotten in the work of Goon and Penco. In this paper, we extend this work to the massive gravity and investigate thermodynamic extremality relations in a…

General Relativity and Quantum Cosmology · Physics 2021-02-01 Deyou Chen , Jun Tao , Peng Wang

We consider accelerating black holes in four-dimensional anti-de Sitter spacetime and investigate the extremality relations by examining perturbative corrections to both the entropy of black holes and their extremality bounds. It is shown…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Chong Oh Lee
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