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We study some general properties of two black hole solutions in Einstein's conformal gravity. Both solutions can be obtained from the Kerr metric with a suitable conformal rescaling, which leads, respectively, to a regular and a singular…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Qiqi Zhang , Leonardo Modesto , Cosimo Bambi

The strategy of obtaining the familiar Kerr-Newman solution in general relativity is based on either using the metric ansatz in the Kerr-Schild form, or applying the method of complex coordinate transformation to a non-rotating charged…

High Energy Physics - Theory · Physics 2008-11-26 A. N. Aliev

We investigated the regular multi-horizon black holes in the Einstein gravity, $F(R)$ gravity and the 5 dimensional Gauss-Bonnet gravity, all of them coupled with non-linear electrodynamics. We presented several explicit examples of the…

High Energy Physics - Theory · Physics 2017-11-22 Shin'ichi Nojiri , S. D. Odintsov

Motivated by possible relation between Born-Infeld type nonlinear electrodynamics and an effective low-energy action of open string theory, asymptotically Reissner--Nordstrom black holes whose electric field is described by a nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-07-15 Seyed Hossein Hendi

The first exact rotating charged black hole solution to the Einstein{nonlinear electrodynamics theory is reported. It is equipped with mass, rotation parameter, electric and magnetic charges, and three parameters due to the electrodynamics:…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Alberto A. Garcia-Diaz

We consider charged rotating black holes in 5-dimensional Einstein-Maxwell theory. These black holes are asymptotically flat, they possess a regular horizon of spherical topology and two independent angular momenta associated with two…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida , Anna Katinka Petersen

We develop a nonlinear perturbation theory of Reissner-Nordstr\"om black holes. We show that, at each perturbation level, Einstein-Maxwell equations can be reduced to four inhomogeneous wave equations, two for polar and two for axial…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Mieszko Rutkowski

We study causality constraints on black hole thermodynamics in nonlinear electrodynamics, where the Lagrangian is taken to be an arbitrary function of the electromagnetic field strength tensor. By requiring the absence of superluminal…

High Energy Physics - Theory · Physics 2025-05-30 Yoshihiko Abe , Maxime Médevielle , Toshifumi Noumi , Kaho Yoshimura

Using a nonlinear electrodynamics coupled to teleparallel theory of gravity, three regular charged spherically symmetric solutions are obtained. The nonlinear theory reduces to the Maxwell one in the weak limit and the solutions correspond…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio

Axially symmetric, stationary solutions of the Einstein-Maxwell equations with disconnected event horizon are studied by developing a method of explicit integration of the corresponding boundary-value problem. This problem is reduced to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. G. Varzugin , A. S. Chistyakov

Regular black holes are imagined as solutions to Einstein's field equations, with no singularities, albeit characterized by the presence of an internal structure. With the intention not to use non-linear electrodynamics, we here propose to…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Orlando Luongo

Mass formulas are obtained for stationary axisymmetric solutions of the Einstein-Maxwell dilaton-axion theory, which have a regular rod structure on the axis of symmetry. Asymptotic mass, angular momentum and charge are expressed as the…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Dmitri Gal'tsov , Gérard Clément , Igor Bogush

Using the covariant phase space formalism, we compute the conserved charges for a solution, describing an accelerating and electrically charged Reissner-Nordstrom black hole. The metric is regular provided that the acceleration is driven by…

General Relativity and Quantum Cosmology · Physics 2017-03-17 Marco Astorino

Static spherically symmetric distributions of electrically counterpoised dust (ECD) are used to construct solutions to Einstein-Maxwell equations in Majumdar--Papapetrou formalism. Unexpected bifurcating behaviour of solutions with regard…

General Relativity and Quantum Cosmology · Physics 2007-11-13 Dubravko Horvat , Sasa Ilijic , Zoran Narancic

The essential singularity in Einstein's gravity can be avoidable if the preconditions of Penrose's theorem can be bypassed, i.e., if the strong energy condition is broken in the vicinity of a black hole center. The singularity mentioned…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Chen Lan , Hao Yang , Yang Guo , Yan-Gang Miao

For an asymptotically flat hairy black hole in the Einstein-Maxwell-scalar (EMS) theory, we study the possibility of shedding off its scalar hair via nonlinear scalar perturbation fully interacting with the background spacetime. We examine…

General Relativity and Quantum Cosmology · Physics 2022-09-27 Chao Niu , Wei Xiong , Peng Liu , Cheng-Yong Zhang , Bin Wang

In this letter we present an exact spherically symmetric and magnetically charged black hole solution with exponential model of nonlinear electrodynamics [S. Kruglov, Annals Phys. 378, 59-70 (2017)] in the context of 4D…

General Relativity and Quantum Cosmology · Physics 2020-08-27 Kimet Jusufi

In this paper, we construct a class of charged and regular black hole solutions in Verlinde's Emergent Gravity (VEG). In particular, these solutions include, black holes with asymptotically Minkowski core, T-duality, Frolov/Simpson-Visser…

General Relativity and Quantum Cosmology · Physics 2022-12-08 Kimet Jusufi

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain…

General Relativity and Quantum Cosmology · Physics 2016-08-24 H. Quevedo , M. N. Quevedo , A. Sanchez
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