Correspondence between modified gravity and general relativity with scalar fields

被引：49

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, Paraiba, Brazil

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

[3] Univ Valencia, Ctr Mixto Univ Valencia, IFIC, CSIC, 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：

PHYSICAL REVIEW D | 2019年 / 99卷 / 04期

基金：

欧盟地平线“2020”;

关键词：

GRAVITATIONAL-WAVES;

D O I：

10.1103/PhysRevD.99.044040

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We describe a novel procedure to map the field equations of nonlinear Ricci-based metric-affine theories of gravity, coupled to scalar matter described by a given Lagrangian, into the field equations of general relativity coupled to a different scalar field Lagrangian. Our analysis considers examples with a single and N real scalar fields, described either by canonical Lagrangians or by generalized functions of the kinetic and potential terms. In particular, we consider several explicit examples involving foRthorn theories and the Eddington-inspired Born-Infeld gravity model, coupled to different scalar field Lagrangians. We show how the nonlinearities of the gravitational sector of these theories can be traded to nonlinearities in the matter fields and how the procedure allows to find new solutions on both sides of the correspondence. The potential of this procedure for applications of scalar field models in astrophysical and cosmological scenarios is highlighted.

引用

页数：15

共 67 条

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