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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

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 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

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

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

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

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 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

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

There is a well-established connection between the higher-derivative corrections to the black hole entropy and the black hole extremality bound. The particular combination of EFT coefficients $c_i$ that controls the mass shift at fixed…

High Energy Physics - Theory · Physics 2022-05-06 Brian McPeak

We study the entropy relations of multi-horizons black holes in higher dimensional (A)dS spacetime with maximal symmetries, including Einstein-Maxwell gravity and $f(R)$(-Maxwell) gravity. These additional equalities in thermodynamics are…

General Relativity and Quantum Cosmology · Physics 2014-03-04 Jia Wang , Wei Xu , Xin-he Meng

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

A mild version of the weak gravity conjecture (WGC) states that extremal black holes have charge-to-mass ratio larger or equal than one when higher-curvature interactions are taken into account. Since these corrections become more relevant…

High Energy Physics - Theory · Physics 2020-03-18 Pablo A. Cano , Tomas Ortin , Pedro F. Ramirez

A coarse-grained version of the effective action is used to study the thermodynamics of black holes, interpolating from largest to smallest masses. The physical parameter of the black hole are linked to the running couplings by…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Kevin Falls , Daniel F. Litim

In this paper, we investigate the quantum gravitational corrections to the thermodynamical quantities of Reissner-Nordstr\"om black holes within the framework of effective field theory. The effective action originates from integrating out…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Yong Xiao , Qiang Wang , Aonan Zhang

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

In this paper, we investigate the universal extremality relation and thermodynamic topology of Van der Waals (VdW) black holes-solutions of Einstein's equations whose thermodynamic behavior closely resembles that of Van der Waals fluids. In…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Ankit Anand , Saeed Noori Gashti

The two apparently distinct phenomena of dark energy (or late-time cosmic acceleration) and quantum gravity dominate physics on extremely low, and extremely high energies, but do not seem to have any apparent empirical connection.…

High Energy Physics - Theory · Physics 2010-03-26 Niayesh Afshordi

Black holes are famous for their universal behavior. New thermodynamic relations have been found recently for the product of gravitational entropies over all the horizons of a given stationary black hole. This product has been found to be…

High Energy Physics - Theory · Physics 2015-06-15 Alejandra Castro , Nima Dehmami , Gaston Giribet , David Kastor
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