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We numerically construct a family of stationary, axisymmetric black hole solutions in Einstein-Born-Infeld theory, incorporating both electric charge and rotation. Our results indicate that when nonlinear electromagnetic effects are weak,…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Lang Cheng , Peng Wang

We obtain a class of rotating charged stationary circularly symmetric solutions of Einstein-Maxwell theory coupled to a topological mass term for the Maxwell field. These solutions are regular, have finite mass and angular momentum, and are…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Sharmanthie Fernando , Freydoon Mansouri

We obtain an exact static solution to Einstein-Power-Maxwell (EPM) theory in $(2+1)$ dimensional AdS spacetime, in which the scalar field couples to gravity in a non-minimal way. After considering the scalar potential, a stable system leads…

High Energy Physics - Theory · Physics 2018-04-12 Wei Xu , De-Cheng Zou

In this paper, we study charged black hole solutions in 4-dimensional Einstein-Gauss-Bonnet gravity combined with ModMax nonlinear electrodynamics. This is a conformally invariant extension of Maxwell theory that effectively describes…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Bilel Hamil

We obtain a new phantom black plane solution in 4D of the Einstein-Maxwell theory coupled with a cosmological constant. We analyse their basic properties, as well as its causal structure, and obtain the extensive and intensive thermodynamic…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Manuel E. Rodrigues , Deborah F. Jardim , M. J. S. Houndjo , Ratbay Myrzakulov

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from…

High Energy Physics - Theory · Physics 2021-08-27 Mohammad Bagher Jahani Poshteh , Nematollah Riazi

The first regular exact black hole solution in General Relativity is presented. The source is a nonlinear electrodynamic field satisfying the weak energy condition, which in the limit of weak field becomes the Maxwell field. The solution…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Eloy Ayón-Beato , Alberto García

We study a rotating black hole with anisotropic matter and electromagnetic fields. We show that the electromagnetic field has the same form as the corresponding one in the Kerr-Newman geometry. The reason is thanks to the specific form of…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Hyeong-Chan Kim , Bum-Hoon Lee , Wonwoo Lee , Youngone Lee

We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They are physical mass, electric charge, cosmological constant and the coupling…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Shuang Yu , Changjun Gao

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

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

We analyze the thermodynamical properties of black holes in a modified theory of gravity, which was initially proposed to obtain correct dynamics of galaxies and galaxy clusters without dark matter. The thermodynamics of non-rotating and…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Jonas R. Mureika , John W. Moffat , Mir Faizal

We consider the Weyl$-$Yang gauge theory of gravitation in a $(4+3)$-dimensional curved space-time within the scenario of the non-Abelian Kaluza$-$Klein theory for the source and torsion-free limits. The explicit forms of the field…

General Relativity and Quantum Cosmology · Physics 2021-09-24 Halil Kuyrukcu

A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Wei Xu , Liu Zhao , De-Cheng Zou

Since the recent derivation of a well-defined $D\rightarrow 4$ limit for regularized 4D Einstein Gauss-Bonnet (4DEGB) gravity, there has been considerable interest in testing it as an alternative to Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Michael Gammon , Robert Mann

We consider a class of Einstein-Maxwell-dilaton theories in general dimensions and construct both static and dynamic charged black holes. We adopt the reverse engineering procedure and make a specific ansatz for the scalar field and then…

High Energy Physics - Theory · Physics 2020-01-08 Hyat Huang , Zhong-Ying Fan , H. Lü

The electric and magnetic black hole solutions are found by coupling the recently introduced nonlinear electrodynamics (NED) model, called "double logharitmic nonlinear electrodynamics" with cosmological Einstein gravity. The solutions…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Ibrahim Gullu , S. Habib Mazharimousavi

We investigate the black hole solution to (2+1)-dimensional gravity coupled to topological matter, with a vanishing cosmological constant. We calculate the total energy, angular momentum and entropy of the black hole in this model and…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip , J. Gegenberg , R. B. Mann

We consider the Einstein-Gauss-Bonnet equations in five dimensions including a negative cosmological constant and a Maxwell field. Using an appropriate Ansatz for the metric and for the electromagnetic fields, we construct numerically black…

General Relativity and Quantum Cosmology · Physics 2011-12-01 Y. Brihaye

Several types of static solutions to Einstein's equations coupled with antisymmetric tensor fields are found in $(2+N+1)$-dimensional spacetime. The solutions describe a product of a three-dimensional radially symmetric spacetime and an…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Takuya Maki , Kiyoshi Shiraishi
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