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We discuss the existence, stability and classical thermodynamics of four-dimensional, spherically symmetric black hole solutions of the Einstein equations with a conformally coupled scalar field. We review the solutions existing in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Elizabeth Winstanley

Previously, we developed a late time approximation scheme to study the interior geometry of black holes. In the present paper we test this scheme with numerical relativity simulations. In particular, we present numerical relativity…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Paul M. Chesler

In this paper, we continue the analysis of the effective model of quantum Schwarzschild black holes recently proposed by some of the authors in [1,2]. In the resulting spacetime the central singularity is resolved by a black-to-white hole…

General Relativity and Quantum Cosmology · Physics 2022-02-28 Fabio M. Mele , Johannes Münch , Stratos Pateloudis

The Hessian of the entropy function can be thought of as a metric tensor on the state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the…

General Relativity and Quantum Cosmology · Physics 2009-01-14 Jan Aman , Ingemar Bengtsson , Narit Pidokrajt

We develop a unified framework for analyzing black hole thermodynamics and spacetime structure in Einstein gravity coupled to causal nonlinear electrodynamics (NED) in asymptotically anti-de Sitter backgrounds. The electromagnetic sector is…

High Energy Physics - Theory · Physics 2026-03-24 H. Babaei-Aghbolagh , Komeil Babaei Velni , Song He , Fateme Isapour

We consider the corrections due to quantum fluctuations of fields on charged black holes induced from the energy-momentum trace anomaly. Although the number of horizons stays unchanged and their positions receive only finite corrections,…

High Energy Physics - Theory · Physics 2017-12-18 Jahed Abedi , Hessamaddin Arfaei , Alek Bedroya , Aida Mehin-Rasuliani , Milad Noorikuhani , Kamran Salehi-Vaziri

In this work, we consider the quantum-corrected Reissner-Nordstr\"om black hole surrounded by quintessence matter and examine its thermodynamics and shadow. To this end, we handle the quantum-corrected metric of the black hole, which is…

General Relativity and Quantum Cosmology · Physics 2023-08-22 B. Hamil , B. C. Lütfüoğlu

A modified version of the Reissner-Nordstrom metric is proposed on the grounds of the nonlinear electrodynamics model. The source of curvature is an anisotropic fluid with $p_{r} = -\rho$ which resembles the Maxwell stress tensor at $r >>…

General Relativity and Quantum Cosmology · Physics 2015-11-02 Hristu Culetu

Inspired by Loop Quantum Gravity (LQG), we investigate the Reissner-Nordstr\"om (RN) black hole (BH) solution coupled with a cloud of strings in an anti-de Sitter (AdS) background, surrounded by a quintessence-like fluid. We begin by…

General Relativity and Quantum Cosmology · Physics 2025-08-15 Faizuddin Ahmed , Abdelmalek Bouzenada

We explore the possibility that quadratic gravity, as a renormalizable theory, describes the interior of quantum black holes. We find new exact power-law solutions to pure quadratic gravity under spherical symmetry, which are complex…

High Energy Physics - Theory · Physics 2025-02-13 Ruolin Liu , Jerome Quintin , Niayesh Afshordi

We investigate how the resolution of the singularity problem for the Schwarzschild BH could be related to the presence of quantum gravity effects at horizon scales. Motivated by the analogy with the cosmological Schwarzschild-dS solution,…

General Relativity and Quantum Cosmology · Physics 2022-07-19 Mariano Cadoni , Mauro Oi , Andrea Pierfrancesco Sanna

The one-loop quantum corrections to geometry and thermodynamics of black hole are studied for the two-dimensional RST model. We chose boundary conditions corresponding to the eternal black hole being in the thermal equilibrium with the…

High Energy Physics - Theory · Physics 2009-10-28 Sergey N. Solodukhin

We present the first rigorous study of nonlinear wave equations on extremal black hole spacetimes without any symmetry assumptions on the solution. Specifically, we prove global existence with asymptotic blow-up for solutions to nonlinear…

Analysis of PDEs · Mathematics 2021-02-25 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

We analyze the stability of scalarized charged black holes in the Einstein-Maxwell-Scalar (EMS) theory with quadratic coupling. These black holes are labelled by the number of $n=0,1,2,\cdots$, where $n=0$ is called the fundamental black…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Yun Soo Myung , De-Cheng Zou

This paper contains a brief review of the remarkable properties of higher dimensional rotating black holes with the spherical topology of the horizon. We demonstrate that these properties are connected with and generated by a special…

General Relativity and Quantum Cosmology · Physics 2012-10-29 Valeri P. Frolov

A new class of analytic charged spherically symmetric black hole solutions, which behave asymptotically as flat or (A)dS spacetimes, is derived for specific classes of $f(R)$ gravity, i.e., $f(R)=R-2\alpha\sqrt{R}$ and…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Gamal G. L. Nashed , Salvatore Capozziello

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

WKB approximation methods are applied to the case of a massive scalar field around a 5-dimensional Reissner-Nordstr\"om black hole. The divergences are explicitly isolated and the cancellation against the Schwinger-De Witt counter-terms…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Gonçalo M. Quinta , Antonino Flachi , José P. S. Lemos

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

An exact solution of the vacuum Einstein field equations over a nonsimply-connected manifold is presented. This solution is spherically symmetric and has no curvature singularity. It can be considered to be a regularization of the…

General Relativity and Quantum Cosmology · Physics 2013-09-06 F. R. Klinkhamer
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