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The semiclassical approximation is studied on hypersurfaces approaching the union of future null infinity and the event horizon on a large class of four dimensional black hole backgrounds. Quantum fluctuations in the background geometry are…

High Energy Physics - Theory · Physics 2009-10-28 Gilad Lifschytz , Miguel E. Ortiz

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

An new ensemble - the angular velocity ensemble - is derived using Jaynes' method of maximising entropy subject to prior information constraints. The relevance of the ensemble to black holes is motivated by a discussion of external…

General Relativity and Quantum Cosmology · Physics 2012-03-30 Mitchell Thomson , Charles C. Dyer

We investigate the thermodynamic properties of a Schwarzschild-AdS black hole within the framework of noncommutative geometry. We derive and analyze the black hole's thermodynamic functions, showing that they depend critically on the…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Slimane Zaim , Fatma Zohra Bara , Mohamed Aimen Larbei

We investigate a microscopic black hole in case of modified generalized uncertainty principle with a minimal uncertainty in position as well as in momentum. We calculate thermodynamical functions of a Schwarzschild black hole such as…

General Relativity and Quantum Cosmology · Physics 2015-06-05 M. M. Stetsko

We investigate the thermodynamics and critical phenomena for four dimensional RN-AdS and Kerr-AdS black holes in the canonical ensemble both for the normal and the extended phase space employing the framework of thermodynamic geometry. The…

High Energy Physics - Theory · Physics 2018-10-23 Pankaj Chaturvedi , Sayid Mondal , Gautam Sengupta

For long black holes have been considered as endowed with a definite temperature. Yet when the Schwarzschild black hole is treated as a canonical ensemble three problems arise: incompatibility with the Hawking radiation, divergence of the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Gilad Gour

One of the major open problems in theoretical physics is a consistent quantum gravity theory.Recent developments in thermodynamic phase transitions ofblack holes and their van der Waals-like behavior may provide an interesting quantum…

General Relativity and Quantum Cosmology · Physics 2020-06-26 Seyed Hossein Hendi , Shahram Panahiyan , Behzad Eslam Panah , Mubasher Jamil

We study the thermodynamics of $n$-dimensional static asymptotically AdS black holes in Einstein gravity coupled to a scalar field with a potential admitting a stationary point with an AdS vacuum. Such black holes with non-trivial scalar…

High Energy Physics - Theory · Physics 2015-07-09 H. Lu , C. N. Pope , Qiang Wen

In this review, we establish the mathematical framework of geometrothermodynamics (GTD) as a formalism capable of describing non-extensive, quasi-homogeneous, self-gravitating systems in a Legendre-invariant manner. We argue that the…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Hernando Quevedo

We investigate the thermodynamics of phase transition for $ (n+1) $ dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Rabin Banerjee , Dibakar Roychowdhury

From black hole perturbation theory, quasi-normal modes (QNMs) in spherically symmetric AdS black hole spacetimes are usually studied with the Horowitz and Hubeny methods [1] by imposing the Dirichlet or vanishing energy flux boundary…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Chun-Hung Chen , Hing-Tong Cho , Alan S. Cornell

In this work, the microstructure of charged AdS black holes under minimal length effects is investigated. We study the thermodynamics of black holes in the extended phase space, where the cosmological constant is regarded as the…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Ningchen Bai , Aoyun He , Jun Tao

We study the phase transition of rainbow inspired higher dimensional Schwarzschild black hole incorporating the effects of the generalized uncertainty principle. First, we obtain the relation between the mass and Hawking temperature of the…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Rituparna Mandal , Sukanta Bhattacharyya , Sunandan Gangopadhyay

The Hawking temperature for the Schwarzschild black hole is divergent when the mass of the black hole vanishes; however the corresponding geometry becomes the Minkowski spacetime whose intrinsic temperature is zero. In connection with this…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Myungseok Eune , Yongwan Gim , Wontae Kim

We investigate the quasinormal modes of a test massless, minimally coupled scalar field on a static and spherically symmetric black hole in the scalar-tensor theory with field derivative coupling to the Einstein tensor, which is a part of…

General Relativity and Quantum Cosmology · Physics 2014-08-26 Masato Minamitsuji

We reconsider various C-metric spacetimes describing charged and (slowly) accelerating AdS black holes in different theories of (non-linear) electrodynamics and revisit their thermodynamic properties. Focusing first on the Maxwell theory,…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Tomáš Hale , David Kubizňák , Jana Menšíková , Robert B. Mann , Jiayue Yang

We study the thermodynamics of Einstein-Power-Yang-Mills AdS black holes via the Euclidean path integral method, incorporating appropriate boundary and counterterms. By analyzing unstable timelike and null circular geodesics, we demonstrate…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Karthik R. , Dillirajan D. , K. M. Ajith , Kartheek Hegde , Shreyas Punacha , A. Naveena Kumara

Sign and magnitude of Ruppeiner's curvature $R_N$ is an empirical indicator of the respective nature and strength of microstructures of a thermodynamic system. For d-dimensional Schwarzschild black holes in AdS, $R_N$ at the Hawking-Page…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Pavan Kumar Yerra , Chandrasekhar Bhamidipati

We present a $D$-dimensional Bardeen like Anti-de Sitter (AdS) black hole solution in Einstein-Gauss-Bonnet (EGB) gravity, \textit{viz}., Bardeen-EGB-AdS black holes. The Bardeen-EGB-AdS black hole has an additional parameter due to charge…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Arun Kumar , Dharm Veer Singh , Sushant G. Ghosh