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By utilizing the field equations of the modified teleparallel equivalent of general relativity, denoted as $\mathit{f(T)}$, we obtain an exact solution for a static charged black hole in n-dimensions, without imposing any constraints. The…

General Relativity and Quantum Cosmology · Physics 2023-09-07 G. G. L. Nashed

The regularized Maxwell theory is a recently discovered theory of non-linear electrodynamics that admits many important gravitating solutions within the Einstein theory. Namely, it was originally derived as the unique non-linear…

General Relativity and Quantum Cosmology · Physics 2023-08-01 Tomas Hale , David Kubiznak , Ota Svitek , Tayebeh Tahamtan

We find an exact static solution in four dimensions to the field equations of the $f(\mathbb{Q})$ gravity by using a cylindrically static spacetime with two different ansatz, $\nu(r)$ and $\mu(r)$. This solution is derived without imposing…

General Relativity and Quantum Cosmology · Physics 2025-03-06 G. G. L. Nashed

We analyze the structural and thermodynamic properties of $D$-dimensional ($D \geq 4$), asymptotically flat or Anti-de-Sitter, electrically charged black hole solutions, resulting from the minimal coupling of general nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-04-24 H. Benbellout , J. Diaz-Alonso , D. Rubiera-Garcia

The non-existence of asymptotically flat, neutral black holes and asymptotically flat, charged black holes in the Maxwell electrodynamics, with non-trivial scalar field has been proved for a large class of scalar-tensor theories. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

Three well known exact regular solutions of general relativity (GR) coupled to nonlinear electrodynamics (NED), namely the Maxwellian, Bardeen and Hayward regular spacetimes, which can describe either a regular black hole or a geometry…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Bobir Toshmatov , Zdeněk Stuchlík , Bobomurat Ahmedov , Daniele Malafarina

An exact and analytical solution of four dimensional vacuum General Relativity representing a system of two static black holes at equilibrium is presented. The metric is completely regular outside the event horizons, both from curvature and…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Adriano Viganò

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Yongben Shi , Rong-Jia Yang

In this paper, we consider $F(R)=R+f(R)$ theory instead of Einstein gravity with conformal anomaly and look for its analytical solutions. Depending on the free parameters, one may obtain both uncharged and charged solutions for some classes…

General Relativity and Quantum Cosmology · Physics 2012-01-04 S. H. Hendi , D. Momeni

We study spherically symmetric static solutions of the most general sixth-derivative gravity using series expansions. Specifically, we prove that the only solutions of the complete theory (i.e., with generic coupling constants) that possess…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Breno L. Giacchini , Ivan Kolář

Static, cylindrically symmetric solutions to nonlinear scalar-Einstein equations are considered. Regularity conditions on the symmetry axis and flat or string asymptotic conditions are formulated in order to select soliton-like solutions.…

General Relativity and Quantum Cosmology · Physics 2011-08-11 K. A. Bronnikov , G. N. Shikin

We find a plethora of new analytic black holes and globally regular horizonless spacetimes in three dimensions. The solutions involve a single real scalar field $\phi$ which always admits a magnetic-like expression proportional to the…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Pablo Bueno , Pablo A. Cano , Javier Moreno , Guido van der Velde

We address the question of existence of regular spherically symmetric electrically charged solutions in Nonlinear Electrodynamics coupled to General Relativity. Stress-energy tensor of the electromagnetic field has the algebraic structure…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Irina Dymnikova

Extended gravitational models have gained large attention in the last couple of decades. In this work, we examine the solution space of vacuum, static, and spherically symmetric spacetimes within $F(R)$ theories, introducing novel methods…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Cristobal Laporte , Agustín Silva

In this paper, we investigate the thermodynamics of dyonic black holes in the presence of Born-Infeld electromagnetic field. We show that electric-magnetic duality reported for dyonic solutions with Maxwell field is omitted in case of…

General Physics · Physics 2019-11-15 S. Panahiyan

We present a new exact solution to the gravitational field equations, where nonlinear electrodynamics (NLED) serves as the matter source in the presence of a quintessence field (QF). This solution describes a static, spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Ahmad Al-Badawi , Faizuddin Ahmed

A shared property of several of the known exact solutions to the equations of force-free electrodynamics is that their charge-current four-vector is \textit{null}. We examine the general properties of null-current solutions and then focus…

General Relativity and Quantum Cosmology · Physics 2015-06-16 T. Daniel Brennan , Samuel E. Gralla , Ted Jacobson

We revisit the relationship of inequality between the gravitational field energy and the Komar charge, both quantities evaluated at the event horizon, for static and spherically symmetric regular black hole solutions obtained with nonlinear…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Leonardo Balart , Francisco Peña

We construct regular rotating black hole and no-horizon spacetimes based on the recently introduced spherically symmetric generic regular black hole spacetimes related to electric or magnetic charge under nonlinear electrodynamics coupled…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Bobir Toshmatov , Zdeněk Stuchlík , Bobomurat Ahmedov

We study the conditions imposed on matter to produce a regular (non-singular) interior of a class of spherically symmetric black holes in the $f(T)$ extension of teleparallel gravity. The class of black holes studied is necessarily singular…

General Relativity and Quantum Cosmology · Physics 2014-12-05 Joshua Aftergood , Andrew DeBenedictis