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The Zeroth and First Laws of Black Hole Mechanics are derived in the context of non-linear electrodynamics coupled to gravity. The Zeroth Law is shown to hold quite generally even if the Dominant Energy Condition is violated. The derivation…

High Energy Physics - Theory · Physics 2016-09-06 D. A. Rasheed

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 propose a step-by-step manual for the construction of alternative theories of gravity, perturbatively as well as nonperturbatively. The construction is guided by no more than two fundamental principles that we impose on the gravitational…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Nils Alex , Tobias Reinhart

In this work, we have discussed the Maxwell's electrodynamics in non-linear forms in FRW universe. The energy density and pressure for non-linear electrodynamics have been written in the electro-magnetic universe. The Einstein's field…

General Physics · Physics 2012-08-29 Tanwi Bandyopadhyay , Ujjal Debnath

In this paper, we consider Einstein gravity in the presence of a class of nonlinear electrodynamics, called power Maxwell invariant (PMI). We take into account $(2+1)$-dimensional spacetime in Einstein-PMI gravity and obtain its black hole…

High Energy Physics - Theory · Physics 2014-10-29 S. H. Hendi , B. Eslam Panah , R. Saffari

We propose a new approach to the quasitopological theory of gravity based on a modified classical double--copy construction. Focusing on static, spherically symmetric configurations, we show that all vacuum solutions of $D$--dimensional…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Valeri P. Frolov

Recently, inspired by Eddington's theory, an alternative gravity called Eddington-inspired Born-Infeld gravity was proposed by Ba$\tilde{\text{n}}$ados and Ferreira. It is equivalent to Einstein's general relativity in vacuum, but deviates…

High Energy Physics - Theory · Physics 2012-06-26 Yu-Xiao Liu , Ke Yang , Heng Guo , Yuan Zhong

This paper aims to investigate the astrophysical applicability of the electrically and magnetically charged black hole solutions obtained in a model of nonlinear electrodynamics proposed by Kruglov (Ann. Phys. Berlin 2017, 529, 170073).…

General Relativity and Quantum Cosmology · Physics 2020-02-18 O. Gurtug , M. Mangut

Suggested modification of the Einstein-Maxwell system, such that Maxwell equations become non-gauge and nonlinear. The theory is based on assumption that observable (i.e., felt by particles) metric is $ {\tilde{g}}_{ab} = g_{ab} -…

General Physics · Physics 2007-05-23 Dmitriy Palatnik

We discuss some of the consequences of changing the matter to gravity coupling without affecting the gravitational dynamics. The Einstein tensor is usually assumed to be proportional to the stress tensor due to the divergence free property…

General Relativity and Quantum Cosmology · Physics 2013-01-15 T. Delsate , J. Steinhoff

Issuing from a geometry with nonmetricity and torsion we build up a classical theory of gravitation and electromagnetism. The theory is coordinate covariant as well Weyl-gauge covariant. Massless and massive photons, intrinsic electr. and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Israelit

Bekenstein and Mayo proposed a generalised bound for the entropy, which implies some inequalities between the charge, energy, angular momentum, and the size of the macroscopic system. Dain has shown that Maxwell's electrodynamics satisfies…

General Relativity and Quantum Cosmology · Physics 2018-01-17 M. L. Peñafiel , F. T. Falciano

We extend the Non-Relativistic formulation of General Relativity (NRGR) given in Goldberger et al. (Phys Rev D 73:104029, 2006) to incorporate the effects of electromagnetic charge of the constituents of the binary. We incorporate the…

General Relativity and Quantum Cosmology · Physics 2020-09-24 Raj Patil

Several features of an $f(R)$ theory in which there is a maximum value for the curvature are analyzed. The theory admits the vaccuum solutions of GR, and also the radiation evolution for the scale factor of the standard cosmological model.…

General Relativity and Quantum Cosmology · Physics 2013-01-08 J. C. Fabris , R. S. Perez , S. E. Perez Bergliaffa , N. Pinto-Neto

We compute the evolution of linear perturbations on top of a background solution of a general nonlinear electromagnetic theory. This evolution can be described in terms of two effective metrics, and we analyse under what conditions they are…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Jose Beltrán Jiménez , Luis J. Garay , María Pérez Garrote

We consider the Pleba{\'n}ski class of nonlinear theories of vacuum electrodynamics, i.e., Lagrangian theories that are Lorentz invariant and gauge invariant. Our main goal is to derive the transport law of the polarization plane in such a…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Volker Perlick , Claus Lämmerzahl , Alfredo Macias

It is shown here that symmetric hyperbolicity, which guarantees well-posedness, leads to a set of two inequalities for matrices whose elements are determined by a given theory. As a part of the calculation, carried out in a mostly-covariant…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Érico Goulart , Santiago Esteban Perez Bergliaffa

We find multicenter (Majumdar-Papapetrou type) solutions of Eddington-inspired Born-Infeld gravity coupled to electromagnetic fields governed by a Born-Infeld-like Lagrangian. We construct the general solution for an arbitrary number of…

High Energy Physics - Theory · Physics 2020-11-10 Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

Viable corrections to the matter sector of Poisson's equation may result in qualitatively different astrophysical phenomenology, for example the gravitational collapse and the properties of compact objects can change drastically. We discuss…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Paolo Pani , Terence Delsate , Vitor Cardoso

Considering both the power Maxwell invariant source and the Einstein--Gauss--Bonnet gravity, we present a new class of static solutions yields a spacetime with a longitudinal nonlinear magnetic field. These horizonless solutions have no…

High Energy Physics - Theory · Physics 2011-05-30 S. H. Hendi , S. Kordestani , S. N. D. Motlagh
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