Correspondence between modified gravity and general relativity with scalar fields
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 example...
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ri-123456789-305882023-02-15T20:55:15Z Correspondence between modified gravity and general relativity with scalar fields Afonso, Victor I. Olmo, Gonzalo J. Orazi, Emanuele Rubiera-Garcia, Diego Theories of gravity Ricci-based metric-affine Astrophysical Cosmological 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 f(R) 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 2020-11-17T13:47:34Z 2020-11-17T13:47:34Z 2019-02-20 article AFONSO, Victor I.; OLMO, Gonzalo J.; ORAZI, Emanuele; RUBIERA-GARCIA, Diego. Correspondence between modified gravity and general relativity with scalar fields. Physical Review D, [S.L.], v. 99, n. 4, p. 044040-044040, 20 fev. 2019. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.99.044040. Acesso em: 08 set. 2020. http://dx.doi.org/10.1103/physrevd.99.044040. 2470-0010 2470-0029 https://repositorio.ufrn.br/handle/123456789/30588 10.1103/PhysRevD.99.044040 en application/pdf American Physical Society |
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Theories of gravity Ricci-based metric-affine Astrophysical Cosmological |
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Theories of gravity Ricci-based metric-affine Astrophysical Cosmological Afonso, Victor I. Olmo, Gonzalo J. Orazi, Emanuele Rubiera-Garcia, Diego Correspondence between modified gravity and general relativity with scalar fields |
description |
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 f(R) 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 |
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 |
Correspondence between modified gravity and general relativity with scalar fields |
title_short |
Correspondence between modified gravity and general relativity with scalar fields |
title_full |
Correspondence between modified gravity and general relativity with scalar fields |
title_fullStr |
Correspondence between modified gravity and general relativity with scalar fields |
title_full_unstemmed |
Correspondence between modified gravity and general relativity with scalar fields |
title_sort |
correspondence between modified gravity and general relativity with scalar fields |
publisher |
American Physical Society |
publishDate |
2020 |
url |
https://repositorio.ufrn.br/handle/123456789/30588 |
work_keys_str_mv |
AT afonsovictori correspondencebetweenmodifiedgravityandgeneralrelativitywithscalarfields AT olmogonzaloj correspondencebetweenmodifiedgravityandgeneralrelativitywithscalarfields AT oraziemanuele correspondencebetweenmodifiedgravityandgeneralrelativitywithscalarfields AT rubieragarciadiego correspondencebetweenmodifiedgravityandgeneralrelativitywithscalarfields |
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1773964123522990080 |