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Black holes are the natural arena for exploring the interplay between gravity and thermodynamics. Although the association between black hole mechanics and black hole thermodynamics is well-established, the comprehensive geometric…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Diego Fernández-Silvestre , Alberto Guilabert , Pedro Bargueño , Juan A. Miralles

We investigate phase transitions and critical phenomena in Kerr-Newman-Anti de Sitter black holes in the framework of the geometry of their equilibrium thermodynamic state space. The scalar curvature of these state space Riemannian…

High Energy Physics - Theory · Physics 2015-05-18 Anurag Sahay , Tapobrata Sarkar , Gautam Sengupta

The connection between classical thermodynamics and black hole horizons is a fundamental topic in gravitational physics, offering a potential pathway to understanding quantum aspects of gravity. However, while black hole mechanics exhibits…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Alberto Guilabert , Pedro Bargueño

In this paper, we examine the role played by topology, and some specific boundary conditions as well, on the physics of a higher-dimensional black hole. We analyze the line element of a five-dimensional non-extremal Reissner-Nordstr\"{o}m…

General Relativity and Quantum Cosmology · Physics 2024-07-17 M. Abu-Saleem , H. S. Vieira , L. H. C. Borges

The throttling process of the Kerr-Newman-anti-de Sitter (KN-AdS) black holes is systematically studied in the extended phase space. In this framework, the cosmological constant is interpreted as a varying thermodynamic pressure, and the…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Ze-Wei Zhao , Yi-Hong Xiu , Nan Li

We extend the classical Damour-Ruffini method and discuss Hawking radiation in Kerr-Newman-de Sitter(KNdS) black hole. Under the condition that the total energy, angular momentum and charge of spacetime are conserved, taking the reaction of…

General Relativity and Quantum Cosmology · Physics 2010-02-22 Li Huaifan , Zhang Shengli , Wu Yueqin , Zhang Lichun , Zhao Ren

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 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

In some recent studies \cite{aman1, aman2, aman3}, Aman {\it et al.} used the Ruppeiner scalar as a measure of underlying interactions of Reissner-Nordstr\"{o}m black holes, indicating that it is a non-interacting statistical system for…

High Energy Physics - Theory · Physics 2010-10-27 Behrouz Mirza , Mohammad Zamani-Nasab

In this paper, thermodynamic properties of the Reissner-Nordstr\"om-de Sitter (RN-dS) black hole have been studied on the basis of the correlation between the black hole and cosmological horizons. It is found that the RN-dS black hole…

High Energy Physics - Theory · Physics 2023-02-01 Yang Zhang , Yu-bo Ma , Yun-Zhi Du , Huai-Fan Li , Li-Chun Zhang

A coordinate system that blockwise-simplifies the Kerr-Newman black hole's thermodynamical state space Ruppeiner metric geometry is constructed, with discussion of the limiting cases corresponding to simpler black holes. It is deduced that…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Edward Anderson

The phase transition of Reissner-Nordstr\"om black holes in $(n+1)$-dimensional anti-de Sitter spacetime is studied in details using the thermodynamic analogy between a RN-AdS black hole and a van der Waals liquid gas system. We first…

High Energy Physics - Theory · Physics 2015-03-19 Chao Niu , Yu Tian , Xiaoning Wu

In the present work, we numerically investigate the horizon structure of the Kerr-Sen black holes in anti-de Sitter (AdS) spacetime. Further, we investigate the phase transitions and critical phenomena in Kerr-Sen-AdS black holes at the…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Md Sabir Ali , Arindam Mondal , Sushant G. Ghosh

In this paper, we study various aspects of the equilibrium thermodynamic state space geometry of AdS black holes. We first examine the Reissner-Nordstrom-AdS (RN-AdS) and the Kerr-AdS black holes. In this context, the state space scalar…

High Energy Physics - Theory · Physics 2014-11-20 Anurag Sahay , Tapobrata Sarkar , Gautam Sengupta

In this paper we propose a straightforward method for understanding the thermodynamics of black holes in de Sitter space, one that will allow us to study these black holes in a way that is analogous to the anti-de Sitter case. As per usual,…

High Energy Physics - Theory · Physics 2016-12-07 David Kubiznak , Fil Simovic

The curvature scalar invariants of the Riemann tensor are important in General Relativity because they allow a manifestly coordinate invariant characterisation of certain geometrical properties of spacetimes such as, among others, curvature…

General Relativity and Quantum Cosmology · Physics 2022-07-13 G. V. Kraniotis

Singularities in the thermodynamics of Kerr-Newman black holes are commonly associated with phase transitions. However, such interpretations are complicated by a lack of stability and, more significantly, by a lack of conclusive insight…

General Relativity and Quantum Cosmology · Physics 2008-11-26 George Ruppeiner

In this report we describe quantum Reissner-Nordstr\"om (RN) black-holes interacting with a complex scalar field. Our analysis is characterized by solving a Wheeler-DeWitt equation in the proximity of an apparent horizon of the RN…

High Energy Physics - Theory · Physics 2009-09-25 P. V. Moniz

In this article, we study the superradiance of charged scalar fields on the sub-extremal Reissner-Nordstrom metric, a mechanism by which such fields can extract energy from a static spherically symmetric charged black hole. A geometrical…

Mathematical Physics · Physics 2015-08-06 Laurent Di Menza , Jean-Philippe Nicolas

We compute the conserved quantities of the four-dimensional Kerr-Newman-dS (KNdS) black hole through the use of the counterterm renormalization method, and obtain a generalized Smarr formula for the mass as a function of the entropy, the…

High Energy Physics - Theory · Physics 2014-11-18 M. H. Dehghani , H. KhajehAzad
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