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We propose a new thermodynamic inequality for stationary and asymptotically Anti-de Sitter rotating black holes, $ 4\pi J^2/(3MV)<1 $. This inequality is derived by analyzing the roots of the identity relating the thermodynamic variables,…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Hamid R. Bakhtiarizadeh

In this work, we examine the optical behaviors and thermodynamic phase structures using shadow analysis for four $\mathbb{S}\mathbb{T}\mathbb{U}$ black holes. The study is conducted for four cases of charge configurations on the parameter…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Yassine Sekhmani , Dhruba Jyoti Gogoi , Ratbay Myrzakulov , Giuseppe Gaetano Luciano , Javlon Rayimbaev

We revisit thermodynamics of five-dimensional AdS spacetime at finite temperature and rotation using the Euclidean path integral. It is generally believed that at low temperatures and finite rotation, the bulk saddle point that governs the…

High Energy Physics - Theory · Physics 2025-10-03 Kaustubh Singhi

Due to the non-independence of entropy and thermodynamic volume for spherically symmetric black holes in the AdS spacetime, when applying the Ruppeiner thermodynamic geometry theory to these black holes, we often encounter an unavoidable…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Zhen-Ming Xu , Bin Wu , Wen-Li Yang

The recently obtained hairy Kerr black holes, due to additional sources or surrounding fluid, like dark matter, with conserved energy-momentum tensor, have a deviation $\alpha$ and primary hair $l_0$, apart from rotation parameter $a$ and…

General Relativity and Quantum Cosmology · Physics 2021-06-01 Misba Afrin , Rahul Kumar , Sushant G. Ghosh

We establish a thermodynamic-optical duality that directly bridges the semiclassical quantum evaporation of black holes with their classical macroscopic geometry. By employing a diffeomorphic inversion, we re-parameterize the intrinsic…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Nikko John Leo S. Lobos , Emmanuel T. Rodulfo

The thermodynamics of black holes is reformulated within the context of the recently developed formalism of geometrothermodynamics. This reformulation is shown to be invariant with respect to Legendre transformations, and to allow several…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hernando Quevedo

We study the thermodynamics of four-dimensional Kerr-Newman-AdS black holes both in the canonical and the grand-canonical ensemble. The stability conditions are investigated, and the complete phase diagrams are obtained, which include the…

High Energy Physics - Theory · Physics 2009-10-31 Marco M. Caldarelli , Guido Cognola , Dietmar Klemm

Regular Schwarzschild Anti-de-Sitter (RSch-AdS) spacetime, which is a maximally symmetric and Lorentzian manifold of negative curvature, is a solution of Einstein's field equations with a negative cosmological constant and a matter source…

General Relativity and Quantum Cosmology · Physics 2024-10-21 A. Mahmoodzadeh , B. Malakolkalami , K. Ghaderi

In this article, we study the black hole evaporation process and shadow property of the Tangherlini-Reissner-Nordstr\"om (TRN) black holes. The TRN black holes are the higher-dimensional extension of the Reissner-Nordstr\"om (RN) black…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Balendra Pratap Singh

Recently, black hole thermodynamics and phase transition have been studied in the extended phase space. Besides the VdW-like phase transition, more interesting phase transitions were found. More interestingly, combining with the…

General Relativity and Quantum Cosmology · Physics 2020-03-03 Shao-Wen Wei , Yu-Xiao Liu

In a recent article (Ref. \cite{AOP}), the authors obtained a static, cylindrically symmetric Anti-de Sitter (AdS) black string (BS) solutions, which are cylindrical generalizations of black holes (BHs), surrounded by a cloud of strings…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Faizuddin Ahmed , Ahmad Al-Badawi , Izzet Sakallı

We obtained the metric of the Schwarzschild-like black hole with loop quantum gravity (LQG) corrections in anti-de Sitter (AdS) space-time, under the assumption that the cosmological constant is decoupled in LQG. We investigated its…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Rui-Bo Wang , Shi-Jie Ma , Lei You , Yu-Cheng Tang , Yu-Hang Feng , Xian-Ru Hu , Jian-Bo Deng

The shadow of a black hole can be one of the strong observational evidences for stationary black holes. If we see shadows at the center of galaxies, we would say whether the observed compact objects are black holes. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2018-03-20 Naoki Tsukamoto

We investigate the intrinsic and extrinsic curvatures of certain hypersurfaces in the thermodynamic geometry of a physical system and show that they contain useful thermodynamic information. For an anti-Reissner-Nordstr\"{o}m-(A)de Sitter…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Seyed Ali Hosseini Mansoori , Behrouz Mirza , Elham Sharifian

In this paper, we consider an $\alpha^{\prime}$ corrected Reissner-Nordstr\"{o}m AdS black hole to study thermodynamics. We study the $P-V$ criticality and thermodynamical stability of the black hole. We obtained a first-order phase…

High Energy Physics - Theory · Physics 2024-07-15 Behnam Pourhassan , Sareh Eslamzadeh , Izzet Sakallı , Sudhaker Upadhyay

For Anti-de Sitte (AdS) black holes, the isochoric heat capacity of system is vanished, while the isobaric heat capacity is not. However, this situation does not hold on for de Sitter (dS) black holes. In this work, by introducing the…

High Energy Physics - Theory · Physics 2022-09-13 Yang Zhang , Yu-Bo Ma , Yun-Zhi Du , Huai-Fan Li , Li-Chun Zhang

Combined with the observation of M87*, shadow has gradually became a promising test of the black hole nature. Recently, EHT collaboration gave new constraints on the shadow size at 68\% confidence levels. In this work, we consider the new…

General Relativity and Quantum Cosmology · Physics 2021-08-06 Shao-Wen Wei , Yuan-Chuan Zou

The spacetime singularities in classical general relativity predicted by the celebrated singularity theorems are formed at the end of gravitational collapse. Quantum gravity is the expected theory to resolve the singularity problem, but we…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Sushant G. Ghosh , Muhammed Amir , Sunil D. Maharaj

We use the global embedding Minkowski space (GEMS) geometries of a (3+1)-dimensional curved Reissner-Nordstr\"om(RN)-AdS black hole spacetime into a (5+2)-dimensional flat spacetime to define a proper local temperature, which remains finite…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Yong-Wan Kim , Jaedong Choi , Young-Jai Park
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