Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics

被引：55

作者：

Afonso, Victor I. ^{[1
]}

Olmo, Gonzalo J. ^{[2
,3
,4
]}

Orazi, Emanuele ^{[5
,6
]}

Rubiera-Garcia, Diego ^{[7
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Fis, BR-58429900 Campina Grande, PB, Brazil

[2] Univ Valencia, CSIC, Ctr Mixto, Dept Fis Teor, E-46100 Valencia, Spain

[3] Univ Valencia, CSIC, Ctr Mixto, IFIC, E-46100 Valencia, Spain

[4] Univ Fed Paraiba, Dept Fis, BR-58051900 Joao Pessoa, Paraiba, Brazil

[5] Univ Fed Rio Grande do Norte, Int Inst Phys, Campus Univ Lagoa Nova, BR-59078970 Natal, RN, Brazil

[6] Univ Fed Rio Grande do Norte, Escola Ciencia & Tecnol, Caixa Postal 1524, BR-59078970 Natal, RN, Brazil

[7] Univ Lisbon, Fac Ciencias, Inst Astrofis Ciencias Espaco, Edificio C8, P-1749016 Lisbon, Portugal

来源：

EUROPEAN PHYSICAL JOURNAL C | 2018年 / 78卷 / 10期

基金：

欧盟地平线“2020”;

关键词：

GRAVITATIONAL-WAVES; BLACK-HOLE;

D O I：

10.1140/epjc/s10052-018-6356-1

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

引用

页数：11

共 74 条

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