Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics

We show that families of nonlinear gravity theories formulated in a metric-affine approach and coupled to a nonlinear theory of electrodynamics can be mapped into general relativity (GR) coupled to another nonlinear theory of electrodynamics. This allows to generate solutions of the former from thos...

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Principais autores:	Afonso, Victor I., Olmo, Gonzalo J., Orazi, Emanuele, Rubiera-Garcia, Diego
Formato:	article
Idioma:	English
Publicado em:	Springer
Assuntos:	Metric-affine approach Nonlinear gravity theories
Endereço do item:	https://repositorio.ufrn.br/handle/123456789/30591
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spelling	ri-123456789-305912020-11-22T07:54:07Z Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics Afonso, Victor I. Olmo, Gonzalo J. Orazi, Emanuele Rubiera-Garcia, Diego Metric-affine approach Nonlinear gravity theories We show that families of nonlinear gravity theories formulated in a metric-affine approach and coupled to a nonlinear theory of electrodynamics can be mapped into general relativity (GR) coupled to another nonlinear theory of electrodynamics. This allows to generate solutions of the former from those of the latter using purely algebraic transformations. This correspondence is explicitly illustrated with the Eddington-inspired Born–Infeld theory of gravity, for which we consider a family of nonlinear electrodynamics and show that, under the map, preserve their algebraic structure. For the particular case of Maxwell electrodynamics coupled to Born–Infeld gravity we find, via this correspondence, a Born–Infeld-type nonlinear electrodynamics on the GR side. Solving the spherically symmetric electrovacuum case for the latter, we show how the map provides directly the right solutions for the former. This procedure opens a new door to explore astrophysical and cosmological scenarios in nonlinear gravity theories by exploiting the full power of the analytical and numerical methods developed within the framework of GR 2020-11-17T17:34:13Z 2020-11-17T17:34:13Z 2018-10-27 article AFONSO, Victor I.; OLMO, Gonzalo J.; ORAZI, Emanuele; RUBIERA-GARCIA, Diego. Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics. The European Physical Journal C, [S.L.], v. 78, n. 10, p. 866-866, out. 2018. Disponível em: https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-018-6356-1. Acesso em: 08 set. 2020. http://dx.doi.org/10.1140/epjc/s10052-018-6356-1. 1434-6044 1434-6052 https://repositorio.ufrn.br/handle/123456789/30591 10.1140/epjc/s10052-018-6356-1 en Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ application/pdf Springer
institution	Repositório Institucional
collection	RI - UFRN
language	English
topic	Metric-affine approach Nonlinear gravity theories
spellingShingle	Metric-affine approach Nonlinear gravity theories Afonso, Victor I. Olmo, Gonzalo J. Orazi, Emanuele Rubiera-Garcia, Diego Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
description	We show that families of nonlinear gravity theories formulated in a metric-affine approach and coupled to a nonlinear theory of electrodynamics can be mapped into general relativity (GR) coupled to another nonlinear theory of electrodynamics. This allows to generate solutions of the former from those of the latter using purely algebraic transformations. This correspondence is explicitly illustrated with the Eddington-inspired Born–Infeld theory of gravity, for which we consider a family of nonlinear electrodynamics and show that, under the map, preserve their algebraic structure. For the particular case of Maxwell electrodynamics coupled to Born–Infeld gravity we find, via this correspondence, a Born–Infeld-type nonlinear electrodynamics on the GR side. Solving the spherically symmetric electrovacuum case for the latter, we show how the map provides directly the right solutions for the former. This procedure opens a new door to explore astrophysical and cosmological scenarios in nonlinear gravity theories by exploiting the full power of the analytical and numerical methods developed within the framework of GR
format	article
author	Afonso, Victor I. Olmo, Gonzalo J. Orazi, Emanuele Rubiera-Garcia, Diego
author_facet	Afonso, Victor I. Olmo, Gonzalo J. Orazi, Emanuele Rubiera-Garcia, Diego
author_sort	Afonso, Victor I.
title	Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
title_short	Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
title_full	Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
title_fullStr	Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
title_full_unstemmed	Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
title_sort	mapping nonlinear gravity into general relativity with nonlinear electrodynamics
publisher	Springer
publishDate	2020
url	https://repositorio.ufrn.br/handle/123456789/30591
work_keys_str_mv	AT afonsovictori mappingnonlineargravityintogeneralrelativitywithnonlinearelectrodynamics AT olmogonzaloj mappingnonlineargravityintogeneralrelativitywithnonlinearelectrodynamics AT oraziemanuele mappingnonlineargravityintogeneralrelativitywithnonlinearelectrodynamics AT rubieragarciadiego mappingnonlineargravityintogeneralrelativitywithnonlinearelectrodynamics
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Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics

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