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We investigated the Goon-Penco(GP) relationship in (n+1)-dimensional black branes with an arbitrary cosmological constant. Our analysis revealed that the GP relation preserved its form in four-dimensional and (n+1)-dimensional spacetimes,…

High Energy Physics - Theory · Physics 2025-10-14 Yubo Ma , Songtao Zheng , Yang Zhang , Mengsen Ma , Yunzhi Du

The Goon-Penco (GP) relation was investigated on rotating charged black strings with an arbitrary cosmological constant. It has been demonstrated that the GP relation retains its form in the context of spacetimes described by cylindrical…

High Energy Physics - Theory · Physics 2025-07-31 Hai-Long Zhen , Meng-Sen Ma , Huai-Fan Li , Jian-Hua Shi , Yu-Bo Ma

This study investigates the universal relation between Goon and Penco (GP) proposed within the frameworks of Power-Maxwell, Power-Yang-Mills, and Maxwell-Power-Yang-Mills black holes. We begin by analyzing these black holes' thermodynamics…

High Energy Physics - Theory · Physics 2025-03-10 Ankit Anand

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

The generalized thermodynamic extremum relation, as proposed by Goon and Penco, establishes a novel theoretical framework for the study of spacetime thermodynamics. However, extant investigations generally assume that the black hole state…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Hai-Long Zhen , Huai-Fan Li , 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

In this study, the methodology proposed by Goon and Penco for investigating the universality on thermodynamic relations with corrections in de Sitter black holes is extended. A universal thermodynamic extremality relation, under…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Hai-Long Zhen , Yu-Bo Ma

We herein investigate the universal relation proposed by Goon and Penco in de Sitter black holes with electric charge or angular momentum. Our analysis focuses on the cosmological horizon, which only exists in de Sitter and Nariai…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Junbeom Ko , Bogeun Gwak

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

Based on the universality of the entropy-area relation of a black hole, and the fact that the generalized uncertainty principle (GUP) adds a logarithmic correction term to the entropy in accordance with most approaches to quantum gravity,…

General Relativity and Quantum Cosmology · Physics 2015-07-29 Mir Faizal , Mohammed M. Khalil

It has been conjectured that black hole interacting with its surroundings will obey the Generalized Second Law ($GSL$) of thermodynamics. Conservation of $GSL$ is due to the fully thermal nature of Hawking radiation and an upper bound on…

General Relativity and Quantum Cosmology · Physics 2008-06-16 P. I. Kuriakose , V. C. Kuriakose

This paper deals with five-dimensional black hole solutions in (a) Einstein-Yang-Mills-Gauss-Bonnet theory and (b)Einstein-Maxwell-Gauss-Bonnet theory with a cosmological constant for spherically symmetric space time. The geometry of the…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Ritabrata Biswas , Subenoy Chakraborty

In this paper, we show the relation between the thermodynamic geometry of a four-dimensional Reissner-Nordstrom-AdS (RN-AdS) black hole and non-local observables in boundary field theory. Instead of introducing the critical point…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Chao Wang , Bin Wu , Zhen Ming Xu , Wen Li Yang

A charged, non-rotating, spherically symmetric black hole which has cosmological constant $\Lambda$ (Reissner-Nordstr\"om+$\Lambda$ or RN+$\Lambda$), active gravitational mass $M$ and electric charge $Q$ is studied with exterior…

General Physics · Physics 2021-11-17 Safiqul Islam , Priti Mishra , Somi Aktar , Farook Rahaman

In this manuscript, the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black holes in the presence of higher-order generalized uncertainty principle (GUP) have been investigated. We considered heuristic…

General Relativity and Quantum Cosmology · Physics 2021-10-05 S. Hassanabadi , J. Kříž , W. S. Chung , B. C. Lütfüoğlu , E. Maghsoodi , H. Hassanabadi

In this paper, we investigate the thermodynamic properties of Reissner-Nordstr\"om black holes embedded in higher $(d)$ dimensions in the framework of rainbow gravity incorporating the effects of the generalized uncertainty principle. We…

General Relativity and Quantum Cosmology · Physics 2019-06-17 Amritendu Haldar , Ritabrata Biswas

We present a class of charged black hole solutions in an ($n+2)$-dimensional massive gravity with a negative cosmological constant, and study thermodynamics and phase structure of the black hole solutions both in grand canonical ensemble…

High Energy Physics - Theory · Physics 2015-01-27 Rong-Gen Cai , Ya-Peng Hu , Qi-Yuan Pan , Yun-Long Zhang

The extensivity for the thermodynamics of general $D$-dimensional rotating black holes with or without a cosmological constant can be proved analytically, provided the effective number of microscopic degrees of freedom and the chemical…

High Energy Physics - Theory · Physics 2022-05-18 Liu Zhao

We represent a new approach to exploring the thermodynamic topology of black holes, without introducing the nonphysical variable $\Theta\in[0,\pi]$ considered in previous studies, where black holes can exchange both energy and matter with…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Cao H. Nam

A thermodynamic analysis of the black hole solutions coming from the Einstein-Maxwell-Dilaton theory (EMD) in 4D is done. By consider the canonical and grand-canonical ensemble, we apply standard method as well as a recent method known as…

General Relativity and Quantum Cosmology · Physics 2012-06-08 Manuel E. Rodrigues , Zui A. A. Oporto
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