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We study static, spherically symmetric black holes supported by Euler-Heisenberg theory of electrodynamics and coupled to two different modified theories of gravity. Such theories are the quadratic $f(R)$ model and Eddington-inspired…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Merce Guerrero , Diego Rubiera-Garcia

For gauged scalar fields minimally coupled to Einstein-Maxwell theory, the Mayo-Bekenstein no-hair theorem can be circumvented when including appropriate scalar self-interactions, allowing static, electrically charged black holes to be…

High Energy Physics - Theory · Physics 2024-06-18 Carlos Herdeiro , Eugen Radu , Yakov Shnir

We derive a Melvin Universe type solution describing a magnetic field permeating the whole Universe in gravity minimally coupled to any non-linear electromagnetic theory, including Born-Infeld Theory. For a large set of non-linear…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , C. A. R. Herdeiro

We study dyonic soliton and black hole solutions of the ${\mathfrak {su}}(2)$ Einstein-Yang-Mills equations in asymptotically anti-de Sitter space. We prove the existence of non-trivial dyonic soliton and black hole solutions in a…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Brien C. Nolan , Elizabeth Winstanley

All the magnetically charged ultrastatic and spherically symmetric spacetime solutions in the framework of linear/nonlinear electrodynamics, with an arbitrary electromagnetic Lagrangian density $\mathcal{L}(\mathcal{F})$ depending only of…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Pedro Cañate

Maxwell's equations are invariant under both duality rotations and conformal transformations. Recently Bandos, Lechner, Sorokin, and Townsend have found a nonlinear generalisation of electrodynamics which possesses both of these symmetries.…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Daniel Flores-Alfonso , Blanca Angélica González-Morales , Román Linares , Marco Maceda

It is shown that in the static, spherically symmetric spacetime the problem of metric f(R) gravity coupled with non-linear Yang-Mills (YM) field constructed from the Wu-Yang ansatz as source, can be solved in all dimensions. By…

General Relativity and Quantum Cosmology · Physics 2011-09-26 S. Habib Mazharimousavi , M. Halilsoy

We study Einstein-Born-Infeld gravity and construct the dyonic (A)dS planar black holes in general even dimensions, that carry both the electric charge and magnetic fluxes along the planar space. In four dimensions, the solution can be…

High Energy Physics - Theory · Physics 2016-07-06 Shoulong Li , H. Lu , Hao Wei

We consider non-linear electrodynamics (NED) minimally coupled to general relativity. We derive novel electrically charged, spherically symmetric, black-hole solutions having, for some set of parameters, all their NED fields (the electric…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Mustapha Azreg-Aïnou

We prove that a generalized Schwarzschild-like ansatz can be consistently employed to construct $d$-dimensional static vacuum black hole solutions in any metric theory of gravity for which the Lagrangian is a scalar invariant constructed…

General Relativity and Quantum Cosmology · Physics 2020-02-20 Sigbjørn Hervik , Marcello Ortaggio

We consider static spherically symmetric stellar configurations in Palatini theories of gravity in which the Lagrangian is an unspecified function of the form f(R,R_{\mu\nu}R^{\mu\nu}). We obtain the Tolman-Oppenheimer-Volkov equations…

General Relativity and Quantum Cosmology · Physics 2012-11-06 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

A novel nonlinear electrodynamics (NLE) model with two dimensionful parameters is introduced and investigated. Our model obeys the Maxwellian limit and exhibits behaviour similar to the Born-Infeld Lagrangian in the weak field limit. It is…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Anjan Kar

We construct a Lagrangian and Hamiltonian formulation for charged black holes in a d-dimensional maximally symmetric spherical space. By considering first new variables that give raise to an interesting dimensional reduction of the problem,…

General Relativity and Quantum Cosmology · Physics 2013-06-13 J. A. Nieto , E. A. Leon , V. M. Villanueva

We establish the existence of a family of static, spherically symmetric spacetimes that are solutions of the Einstein Field Equations of General Relativity coupled to the electric field of a static point charge obeying the equations of…

General Relativity and Quantum Cosmology · Physics 2025-08-11 Erik Amorim

We perform a study of the gravitating electrostatic spherically symmetric (G-ESS) solutions of Einstein field equations minimally coupled to generalized non-linear abelian gauge models in three space dimensions. These models are defined by…

High Energy Physics - Theory · Physics 2010-04-29 J. Diaz-Alonso , D. Rubiera-Garcia

We investigate the non-minimal couplings between the electromagnetic fields and gravity through the natural logarithm of the curvature scalar. After we give the Lagrangian formulation of the non-minimally coupled theory, we derive field…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Tekin Dereli , Özcan Sert

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

By introducing a nonminimal coupling between the Kalb--Ramond field and the electromagnetic field, we construct an exact four-dimensional static, spherically symmetric dyonic black hole solution in Lorentz-violating gravity with a…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Yu-Xuan Lin , Jia-Zhou Liu , Yu-Xiao Liu

In the presence of external, linear / nonlinear electromagnetic fields we integrate f(R) \sim R+2{\alpha}\surd(R+const.) gravity equations. In contrast to their Einsteinian cousins the obtained black holes are non-asymptotically flat with a…

General Relativity and Quantum Cosmology · Physics 2012-01-05 S. Habib Mazharimousavi , M. Halilsoy , T. Tahamtan

We derive the equations for the odd and even parity perturbations of coupled electromagnetic and gravitational fields of a black hole with an electric charge within the context of general nonlinear electrodynamics. The Lagrangian density is…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Ramin G. Daghigh , Michael D. Green