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We present a regular class of exact black hole solutions of Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions…

High Energy Physics - Theory · Physics 2016-08-16 Eloy Ayón-Beato , Alberto García

In addition to the boosted static solution there are two other classes of stationary string-like solutions of the vacuum Einstein equation in (4+1)-dimensions. Each class is characterized by three parameters of mass, tension, and momentum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hyeong-Chan Kim , Jungjai Lee

A new model of nonlinear electrodynamics with two parameters is proposed. We study the phenomenon of vacuum birefringence, the causality and unitarity in this model. There is no singularity of the electric field in the center of point-like…

General Relativity and Quantum Cosmology · Physics 2019-03-18 S. I. Kruglov

We investigate the solutions of black holes in $f(T)$ gravity with nonlinear power-law Maxwell field, where $T$ is the torsion scalar in teleparalelism. In particular, we introduce the Langranian with diverse dimensions in which the…

General Relativity and Quantum Cosmology · Physics 2021-07-28 G. G. L. Nashed , K. Bamba

{\bf Exact} solutions of the string equations of motion and constraints are {\bf systematically} constructed in de Sitter spacetime using the dressing method of soliton theory. The string dynamics in de Sitter spacetime is integrable due to…

High Energy Physics - Theory · Physics 2009-10-22 F. Combes , H. J. de Vega , A. V. Mikhailov , N. Sánchez

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

A new class of solutions which yields an $(n+1)$-dimensional spacetime with a longitudinal nonlinear magnetic field is introduced. These spacetimes have no curvature singularity and no horizon, and the magnetic field is non singular in the…

High Energy Physics - Theory · Physics 2009-08-05 M. H. Dehghani , S. H. Hendi

Starting from the most general action in Einstein-Dilaton-Nonlinear Electrodynamics (NED) theory, we obtain the field equations. We apply the field equations for the specific NED known as the Liouville type plus a cosmological constant and…

General Relativity and Quantum Cosmology · Physics 2023-08-15 S. Habib Mazharimousavi , Kanishk Verma

We study Einstein-Maxwell (non-null) sourcefree configurations that can be extended to any conformally invariant non-linear electrodynamics (CINLE) by a constant rescaling of the electromagnetic field. We first obtain a criterion which…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Marcello Ortaggio

Using numerical methods, we investigate the absorption properties of a family of nonsingular solutions {which arise in different metric-affine theories, such as quadratic and Born-Infeld gravity.} These solutions continuously interpolate…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Adria Delhom , Caio F. B. Macedo , Gonzalo J. Olmo , Luis C. B. Crispino

We consider black ring with a cosmological constant in the five dimensional N=4 de Sitter supergravity theory. Our solution preserves half of the de Sitter supersymmetries and has one rotation symmetry. Unlike the flat case, there is no…

High Energy Physics - Theory · Physics 2008-11-26 Chong-Sun Chu , Shou-Huang Dai

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

We present and analyze exact solutions of the Einstein-Maxwell and Einstein-Maxwell-Dilaton equations that describe static pairs of oppositely charged extremal black holes, i.e., black diholes. The holes are suspended in equilibrium in an…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan

We obtain two exact solutions of Einstein gravity coupled to nonlinear electrodynamics (NLED) in $(2+ 1)$-dimensional Anti-de Sitter (AdS) spacetime. The solutions are characterized by the mass $M$, angular momentum $J$, cosmological…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Pedro Cañate , Daniela Magos , Nora Breton

We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Rodrigo Olea

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

We establish local-in-time existence and uniqueness results for nonlocal conservation laws with a nonlinear mobility, in several space dimensions, under weak assumptions on the kernel, which is assumed to be bounded and of finite total…

Analysis of PDEs · Mathematics 2025-12-16 Antonin Chodron de Courcel

Negative energy objects generally lead to instabilities and a number of other disturbing behaviors. In particular, negative energy fluxes lead to a breakdown of the classical area theorem for black hole horizons, which can lead to…

High Energy Physics - Theory · Physics 2009-11-07 Donald Marolf , Simon F. Ross

In this work, we obtain a Maxwell source for regular black string and BTZ black hole using the framework of unimodular gravity. This type of alternative to general relativity imposes an additional condition on the spacetime volume element,…

General Relativity and Quantum Cosmology · Physics 2026-04-28 G. Alencar , V. H. U. Borralho

In this paper we prove small data global existence for solutions to the Maxwell-Born-Infeld (MBI) system on a fixed Schwarzschild background. This system has appeared in the context of string theory and can be seen as a nonlinear model…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Federico Pasqualotto