Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics

Afonso, Victor I.; Olmo, Gonzalo J.; Orazi, Emanuele; Rubiera-Garcia, Diego

Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics

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dc.contributor.author	Afonso, Victor I.
dc.contributor.author	Olmo, Gonzalo J.
dc.contributor.author	Orazi, Emanuele
dc.contributor.author	Rubiera-Garcia, Diego
dc.date.accessioned	2020-11-17T17:34:13Z
dc.date.available	2020-11-17T17:34:13Z
dc.date.issued	2018-10-27
dc.description.resumo	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	pt_BR
dc.identifier.citation	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.	pt_BR
dc.identifier.doi	10.1140/epjc/s10052-018-6356-1
dc.identifier.issn	1434-6044
dc.identifier.issn	1434-6052
dc.identifier.uri	https://repositorio.ufrn.br/handle/123456789/30591
dc.language	en	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Metric-affine approach	pt_BR
dc.subject	Nonlinear gravity theories	pt_BR
dc.title	Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics	pt_BR
dc.type	article	pt_BR