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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 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

De Sitter spacetime is known to have a cosmological horizon that enjoys thermodynamic-like properties similar to those of a black hole horizon. In this note we show that a universal argument can be given for the entropy of de Sitter…

High Energy Physics - Theory · Physics 2009-10-31 Feng-Li Lin , Yong-Shi Wu

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

We prove that the one-loop contribution from tensor modes to the thermodynamic entropy of near-extremal black holes is universal. Our proof applies to asymptotically flat, Anti-de-Sitter and de-Sitter black holes; it also covers spherical,…

High Energy Physics - Theory · Physics 2026-02-20 Leopoldo A. Pando Zayas , Jingchao Zhang

We investigated the Goon--Penco (GP) relation on higher-dimensional Reissner-Nordstr\"om black holes with an arbitrary cosmological constant. It was found that the GP relation retained its form in four- and higher-dimensional spacetimes.…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Junbeom Ko , Bogeun Gwak

We introduce a calculation, based on purely topological reasoning, of the global equilibrium Hawking temperature of the Schwarzschild-de Sitter spacetime, where a Schwarzschild black hole horizon coexists with a de Sitter cosmological…

General Relativity and Quantum Cosmology · Physics 2019-02-08 Charles W. Robson , Leone Di Mauro Villari , Fabio Biancalana

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

We study the thermodynamics of de Sitter black holes with a conformally coupled scalar field. The geometry is that of the ``lukewarm'' Reissner-Nordstrom-de Sitter black holes, with the event and cosmological horizons at the same…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Anne-Marie Barlow , Daniel Doherty , Elizabeth Winstanley

We extend the derivation of the Hawking temperature of a Schwarzschild black hole via the Heisenberg uncertainty principle to the de Sitter and anti-de Sitter spacetimes. The thermodynamics of the Schwarzschild-(anti-)de Sitter black holes…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Brett Bolen , Marco Cavaglia

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

Rotating black holes in de Sitter space are known to have interesting limits where the temperatures of the black hole and cosmological horizon are equal. We give a complete description of the thermal phase structure of all allowed rotating…

High Energy Physics - Theory · Physics 2015-03-13 Dionysios Anninos , Tarek Anous

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

In the de Sitter-invariant approach to gravitation, all solutions to the gravitational field equations are spacetimes that reduce locally to de Sitter. Consequently, besides including an event horizon, the de Sitter-invariant black hole…

General Relativity and Quantum Cosmology · Physics 2025-09-10 D. F. López , S. Abarghouei Nejad , José G. Pereira

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

We study a close relationship between the topological anti-de Sitter (TAdS)-black holes and topological de Sitter (TdS) spaces including the Schwarzschild-de Sitter (SdS) black hole in five-dimensions. We show that all thermal properties of…

High Energy Physics - Theory · Physics 2009-11-10 Y. S. Myung

We consider Reissner-Nordstr\"{o}m black holes surrounded by quintessence where both a non-extremal event horizon and a cosmological horizon exist besides an inner horizon ($-1\leq \omega <-1/3$). We determine new extreme black hole…

General Relativity and Quantum Cosmology · Physics 2015-01-30 Mustapha Azreg-Aïnou

In this paper, by taking de Sitter space-time as a thermodynamic system, we study the equivalent thermodynamic quantities of de Sitter black hole in massive gravity, and furthermore obtain the equivalent thermodynamic quantities of the…

High Energy Physics - Theory · Physics 2018-06-13 Yu-Bo Ma , Ren Zhao , Shuo Cao

It is now widely accepted that the universe as we understand it is accelerating in expansion and fits the de Sitter model rather well. As such, a realistic assumption of black holes must place them on a de Sitter background and not…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Sarp Akcay , Richard Matzner

Recent advancements in black hole thermodynamics have introduced corrections to elucidate the relationship between entropy and extremality bound of black holes. Traditionally, this relationship has been studied in the context of black holes…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Ankit Anand , Saeed Noori Gashti
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