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In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

In recent years higher-dimensional black holes have attracted much interest because of various developments in gravity and high energy physics. But whereas higher-dimensional charged static (Tangherlini) and uncharged rotating (Myers-Perry)…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida

The theory of f(R)-gravity is one of the theories of modified Einstein gravity. The vacuum solution, on the other hand, of the field equation is the solution for black hole geometry. We establish here an asymptotically flat rotating black…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Arghya Ranjan Das , Banibrata Mukhopadhyay

This study investigates quantum-corrected black hole solutions derived from f(R) gravity and explores their thermodynamic properties using the canonical ensemble framework. By incorporating higher-order f(R) corrections into classical black…

General Physics · Physics 2024-10-10 Wen-Xiang Chen

In modified theories of gravity, higher curvature terms may be added to the Einstein-Hilbert action. Conventionally, the effects of the higher curvature terms on the black hole thermodynamics are rather difficult to obtain. In this paper,…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Yong Xiao

We investigate the hypothesis that the higher-derivative corrections always make extremal non-supersymmetric black holes lighter than the classical bound and self-repulsive. This hypothesis was recently formulated in the context of the…

High Energy Physics - Theory · Physics 2014-11-18 Yevgeny Kats , Lubos Motl , Megha Padi

This paper explores the properties of black holes using a new model of nonlinear electrodynamics called modified Maxwell (ModMax), in conjunction with nonlinear massive gravity known as dRGT-like massive gravity. We start by deriving the…

General Relativity and Quantum Cosmology · Physics 2025-07-11 B. Eslam Panah

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

Motivated by recent progresses in the field of massive gravity, the paper at hand investigates the thermodynamical structure of black holes with three specific generalizations: i) Gauss-Bonnet gravity which is motivated from string theory…

High Energy Physics - Theory · Physics 2018-05-01 S. H. Hendi , B. Eslam Panah , S. Panahiyan

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

A recently proposed model for nonlinear electrodynamics has been minimally coupled to dimensionally continued gravity and the topological black holes in the presence of conformal scalar field were studied. In this setup, the new magnetized…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Askar Ali

We discuss a new analytic solution to the Einstein-Maxwell field equations that describes electrically charged black holes with a slow rotation and with a single angular momentum in all higher dimensions. We also compute the gyromagnetic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alikram N. Aliev

In this article, the new black hole solutions to the Einstein-power-Maxwell-dilaton gravity theory have been investigated in a four-dimensional space-time. The coupled scalar, electromagnetic and gravitational field equations have been…

General Relativity and Quantum Cosmology · Physics 2019-08-13 M. Dehghani , M. R. Setare

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose…

General Relativity and Quantum Cosmology · Physics 2013-04-24 J. Diaz-Alonso , D. Rubiera-Garcia

Einstein gravities in general dimensions coupled to a cosmological constant and extended with quadratic curvature invariants admit a variety of black holes that may asymptote to Minkowski, anti-de Sitter or Lifshitz spacetimes. We adopt the…

High Energy Physics - Theory · Physics 2015-03-11 Zhong-Ying Fan , H. Lu

We present the topological solutions of Einstein gravity in the presence of a non-Abelian Yang-Mills field. In ($n+1$) dimensions, we consider the $So(n(n-1)/2-1,1)$ semisimple group as the Yang-Mills gauge group, and introduce the black…

General Relativity and Quantum Cosmology · Physics 2014-11-20 N. Bostani , M. H. Dehghani

The black hole solutions in higher-dimensional spacetimes with the presence of the power-Maxwell field, surrounded by quintessence, are investigated for Einstein as well as Rastall gravity. The obtained solutions accommodate for spherical,…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Kai Lin , Yunqi Liu , Wei-Liang Qian

In this paper, we construct a new class of topological black hole Lifshitz solutions in the presence of nonlinear exponential electrodynamics for Einstein-dilaton gravity. We show that the reality of Lifshitz supporting Maxwell matter…

High Energy Physics - Theory · Physics 2016-03-15 M. Kord Zangeneh , A. Dehyadegari , A. Sheykhi , M. H. Dehghani

We consider black hole solutions with electric and magnetic sources in the four-dimensional Einstein-Born-Infeld-AdS theory with spherical, planar and hyperbolic horizon geometries. Exact analytical solutions for the metric function,…

General Relativity and Quantum Cosmology · Physics 2023-04-07 Mykhailo Tataryn , Mykola Stetsko

We study conformally-invariant theories of gravity in six dimensions. In four dimensions, there is a unique such theory that is polynomial in the curvature and its derivatives, namely Weyl-squared, and furthermore all solutions of Einstein…

High Energy Physics - Theory · Physics 2013-05-21 H. Lu , Y. Pang , C. N. Pope