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We construct several charged regular black hole metrics employing mass distribution functions which are inspired by continuous probability distributions. Some of these metrics satisfy the weak energy condition and asymptotically behave as…

General Relativity and Quantum Cosmology · Physics 2014-12-24 Leonardo Balart , Elias C. Vagenas

Using a nonlinear electrodynamics coupled to General Relativity a new regular exact black hole solution is found. The nonlinear theory reduces to the Maxwell one in the weak limit, and the solution corresponds to a charged black hole for…

High Energy Physics - Theory · Physics 2016-08-15 Eloy Ayón-Beato , Alberto García

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 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

The nonlinear Maxwell Lagrangian preserving both conformal and SO(2) duality-rotation invariance has been introduced very recently. Here, in the context of Einstein's theory of gravity minimally coupled with this nonlinear electrodynamics,…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Z. Amirabi , S. Habib Mazharimousavi

In this report the exact rotating charged black hole solution to the Einstein--nonlinear electrodynamics theory with a cosmological constant is presented. This black hole is equipped with mass, rotation parameter, electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Alberto A. García Díaz

A model of nonlinear electrodynamics with the Lagrangian density ${\cal L} = -(1/\beta)\arcsin(\beta F_{\mu\nu}F^{\mu\nu}/4)$ is proposed. The scale invariance and the dual invariance of electromagnetic fields are broken in the model. In…

General Relativity and Quantum Cosmology · Physics 2016-08-05 S. I. Kruglov

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 obtain electrically charged black hole solutions of the Einstein equations in arbitrary dimensions with a nonlinear electrodynamics source. The matter source is deriving from a Lagrangian given by an arbitrary power of the Maxwell…

High Energy Physics - Theory · Physics 2008-11-26 Mokhtar Hassaine , Cristian Martinez

We study the thermodynamical properties of electrically charged black hole solutions of a nonlinear electrodynamics theory defined by a power p of the Maxwell invariant, which is coupled to Einstein gravity in four and higher spacetime…

High Energy Physics - Theory · Physics 2013-05-29 Hernan A. Gonzalez , Mokhtar Hassaine , Cristian Martinez

In this paper we present the expressions for the energy of a regular class of exact black hole solutions of Einstein's equations coupled with a nonlinear electrodynamics source. We calculate the energy distribution using the Einstein,…

General Relativity and Quantum Cosmology · Physics 2011-01-27 I-Ching Yang , Chi-Long Lin , I. Radinschi

We obtain a class of regular black hole solutions in four-dimensional $f(R)$ gravity, $R$ being the curvature scalar, coupled to a nonlinear electromagnetic source. The metric formalism is used and static spherically symmetric spacetimes…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Manuel E. Rodrigues , Ednaldo L. B. Junior , Glauber T. Marques , Vilson T. Zanchin

We describe a non-minimal higher-derivative extension of Einstein-Maxwell theory in which electrically-charged black holes and point charges have globally regular gravitational and electromagnetic fields. We provide an exact static…

High Energy Physics - Theory · Physics 2020-07-13 Pablo A. Cano , Ángel Murcia

In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigoris Panotopoulos

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

(2+1)-regular static black hole solutions with a nonlinear electric field are derived. The source to the Einstein equations is an energy momentum tensor of nonlinear electrodynamics, which satisfies the weak energy conditions and in the…

High Energy Physics - Theory · Physics 2009-10-31 Mauricio Cataldo , Alberto Garcia

We find static charged black hole solutions in nonlinear massive gravity. In the parameter space of two gravitational potential parameters $(\alpha, \beta)$ we show that below the Compton wavelength the black hole solutions reduce to that…

High Energy Physics - Theory · Physics 2013-03-14 Yi-Fu Cai , Damien A. Easson , Caixia Gao , Emmanuel N. Saridakis

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 work we construct a family of spherically symmetric, static, charged regular black hole metrics in the context of Einstein-nonlinear electrodynamics theory. The construction of the charged regular black hole metrics is based on…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Leonardo Balart , Elias C. Vagenas

Einstein-Maxwell-scalar models allow for different classes of black hole solutions, depending on the non-minimal coupling function $f(\phi)$ employed, between the scalar field and the Maxwell invariant. Here, we address the linear mode…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Jose Luis Blázquez-Salcedo , Carlos A. R. Herdeiro , Sarah Kahlen , Jutta Kunz , Alexandre M. Pombo , Eugen Radu
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