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We investigate the axial electromagnetic quasinormal modes of a static, asymptotically Anti--de Sitter (AdS) black hole sourced by a nonlinear electrodynamics model of Pleba\'{n}ski type. Starting from the master equation governing axial…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Mohsen Fathi , Ariel Guzmán , J. R. Villanueva

In this paper, we aim to examine the relationship between the unstable circular photon orbit and the thermodynamic phase transition for a rotating Kerr-AdS black hole. On one side, we give a brief review of the phase transition for the…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Shao-Wen Wei , Yu-Xiao Liu , Yong-Qiang Wang

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

In these notes we present a summary of existing ideas about phase transitions of black hole spacetimes in semiclassical gravity and offer some thoughts on three possible scenarios by which these transitions could take place. Our first theme…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. J. Stephens , B. L. Hu

Although the fundamental equations of ordinary thermodynamic systems are known to correspond to first-degree homogeneous functions, in the case of non-ordinary systems like black holes the corresponding fundamental equations are not…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Hernando Quevedo , Maria N. Quevedo , Alberto Sanchez

Theoretical understanding of the characteristic oscillations of a perturbed black hole, also referred to as quasinormal modes (QNMs), is crucial to interpreting the late stage of binary black hole mergers that we now routinely observe in…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Rico K. L. Lo , Leart Sabani , Vitor Cardoso

We study the propagation of scalar fields in the background of an asymptotically de-Sitter black hole solution in $f(R)$ gravity. The aim of this work is to analyze in modified theories of gravity the existence of an anomalous decay rate of…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Almendra Aragón , P. A. González , Eleftherios Papantonopoulos , Yerko Vásquez

In this work, we have studied the quasinormal modes of a black hole in a model of the type $f(Q)=\underset{n}{\sum}a_{n}\left(Q-Q_{0}\right)^{n} $ in $f(Q)$ gravity by using a recently introduced method known as Bernstein spectral method…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Dhruba Jyoti Gogoi , Ali Övgün , M. Koussour

The eikonal correspondence between the quasi-normal modes (QNMs) of asymptotically flat static spherically symmetric black holes and the properties of unstable null circular geodesics is studied in the case of higher dimensional Lovelock…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Avijit Chowdhury , Akash K Mishra , Sumanta Chakraborty

We discuss black hole solutions of Einstein gravity in presence of nonlinear electrodynamics in dS spacetime. Considering prescribed entropy, thermodynamic volume of dS spacetime, We investigate properties of the effective thermodynamic…

High Energy Physics - Theory · Physics 2017-08-22 Hui-Hua Zhao , Li-Chun Zhang , Fang Liu , Ren Zhao

We study the thermodynamics and geometrothermodynamics of different black hole configurations in more than four spacetime dimensions. We find the conditions under which second order phase transitions occur in higher-dimensional static…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Alessandro Bravetti , Davood Momeni , Ratbay Myrzakulov , Hernando Quevedo

A recent development involves an intriguing model of a quantum-corrected black hole, established through the application of the quantum Oppenheimer-Snyder model within loop quantum cosmology [Lewandowski et al., Phys. Rev. Lett. 130 (2023)…

General Relativity and Quantum Cosmology · Physics 2024-05-13 Milena Skvortsova

The characteristic oscillations of black holes, as described by their quasinormal mode (QNM) spectrum, play a fundamental role in testing general relativity with gravitational waves. The so-called parametrized QNM framework was introduced…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Spyros Thomopoulos , Sebastian H. Völkel , Harald P. Pfeiffer

In this work we consider black hole solutions to Einstein theory coupled to a nonlinear power-law electromagnetic field with a fixed exponent value. We study the extended phase space thermodynamics in canonical and grand canonical ensembles…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Ramon Becar , P. A. Gonzalez , Joel Saavedra , Yerko Vasquez , Bin Wang

We analyze the quasinormal modes (QNMs) of scalar, electromagnetic, and Dirac test fields in the background of a black hole immersed in a galactic dark matter halo. The analytic black hole solution considered here is sourced by a physically…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Alexey Dubinsky

In the space of thermodynamic equilibrium states we introduce a Legendre invariant metric which contains all the information about the thermodynamics of black holes. The curvature of this thermodynamic metric becomes singular at those…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. L. Alvarez , H. Quevedo , A. Sanchez

Quasi-normal modes (QNMs) of a black hole (BH) are the eigen modes describing the dissipative oscillation of various fields in that spacetime, which can be intrinsically produced by the linear perturbation theory. With the discovery of the…

General Relativity and Quantum Cosmology · Physics 2022-12-02 Yuqian Zhao , Bing Sun , Zhan-Feng Mai , Zhoujian Cao

We investigate a static, spherically symmetric black hole solution arising from Einstein gravity coupled to a confining nonlinear electrodynamics model that reproduces Maxwell theory in the strong-field regime while introducing…

High Energy Astrophysical Phenomena · Physics 2025-12-23 Erdem Sucu , Izzet Sakallı , Orhan Donmez , G. Mustafa

In this work, we explore the influence of nonlinear electrodynamics (NED) on the quasi-periodic oscillations (QPOs) of a magnetic charged black hole by analyzing the motion of test particles and their epicyclic frequencies. Starting from…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Bidyut Hazarika , Mrinnoy M. Gohain , Prabwal Phukon

The thermodynamics and phase transitions of charged RN-AdS and rotating Kerr-AdS black holes in a generalized Randall-Sundrum braneworld are investigated in the framework of thermodynamic geometry. A detailed analysis of the thermodynamics,…

High Energy Physics - Theory · Physics 2016-12-20 Pankaj Chaturvedi , Gautam Sengupta
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