F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.99.084053 http://hdl.handle.net/11449/228679 |
Resumo: | In Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)PRVDAQ2470-001010.1103/PhysRevD.93.124034], it has been demonstrated that theories of gravity in which the Lagrangian includes terms depending on the scalar curvature R and its derivatives up to order n, i.e., f(R,μR,μ1μ2R,⋯,μ1μnR) theories of gravity, are equivalent to scalar-multitensorial theories in the Jordan frame. In particular, in the metric and Palatini formalisms, this scalar-multitensorial equivalent scenario shows a structure that resembles that of the Brans-Dicke theories with a kinetic term for the scalar field with ω0=0 or ω0=-3/2, respectively. In the present work, the aforementioned analysis is extended to the Einstein frame. The conformal transformation of the metric characterizing the transformation from Jordan's to Einstein's frame is responsible for decoupling the scalar field from the scalar curvature and also for introducing a usual kinetic term for the scalar field in the metric formalism. In the Palatini approach, this kinetic term is absent in the action. Concerning the other tensorial auxiliary fields, they appear in the theory through a generalized potential. As an example, the analysis of an extension of the Starobinsky model (with an extra term proportional to μRμR) is performed and the fluid representation for the energy-momentum tensor is considered. In the metric formalism, the presence of the extra term causes the fluid to be an imperfect fluid with a heat flux contribution; on the other hand, in the Palatini formalism the effective energy-momentum tensor for the extended Starobinsky gravity is that of a perfect fluid type. Finally, it is also shown that the extra term in the Palatini formalism represents a dynamical field which is able to generate an inflationary regime without a graceful exit. |
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F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approachIn Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)PRVDAQ2470-001010.1103/PhysRevD.93.124034], it has been demonstrated that theories of gravity in which the Lagrangian includes terms depending on the scalar curvature R and its derivatives up to order n, i.e., f(R,μR,μ1μ2R,⋯,μ1μnR) theories of gravity, are equivalent to scalar-multitensorial theories in the Jordan frame. In particular, in the metric and Palatini formalisms, this scalar-multitensorial equivalent scenario shows a structure that resembles that of the Brans-Dicke theories with a kinetic term for the scalar field with ω0=0 or ω0=-3/2, respectively. In the present work, the aforementioned analysis is extended to the Einstein frame. The conformal transformation of the metric characterizing the transformation from Jordan's to Einstein's frame is responsible for decoupling the scalar field from the scalar curvature and also for introducing a usual kinetic term for the scalar field in the metric formalism. In the Palatini approach, this kinetic term is absent in the action. Concerning the other tensorial auxiliary fields, they appear in the theory through a generalized potential. As an example, the analysis of an extension of the Starobinsky model (with an extra term proportional to μRμR) is performed and the fluid representation for the energy-momentum tensor is considered. In the metric formalism, the presence of the extra term causes the fluid to be an imperfect fluid with a heat flux contribution; on the other hand, in the Palatini formalism the effective energy-momentum tensor for the extended Starobinsky gravity is that of a perfect fluid type. Finally, it is also shown that the extra term in the Palatini formalism represents a dynamical field which is able to generate an inflationary regime without a graceful exit.Instituto de Ciência e Tecnologia Universidade Federal de Alfenas Cidade Universitária, Rodovia José Aurélio Vilela, 11999Instituto de Física Teórica Universidade Estadual Paulista, Rua Bento Teobaldo Ferraz, 271, Bloco II, P.O. Box 70532-2Escola de Ciência e Tecnologia Universidade Federal Do Rio Grande Do Norte Campus Universitário, s/n - Lagoa NovaDepartamento de Física Instituto Tecnológico da AeronáUtica, Praça Mal. Eduardo Gomes, 50Instituto de Física Teórica Universidade Estadual Paulista, Rua Bento Teobaldo Ferraz, 271, Bloco II, P.O. Box 70532-2Cidade UniversitáriaUniversidade Estadual Paulista (UNESP)Universidade Federal Do Rio Grande Do NorteInstituto Tecnológico da AeronáUticaCuzinatto, R. R.De Melo, C. A.M. [UNESP]Medeiros, L. G. [UNESP]Pompeia, P. J.2022-04-29T08:28:00Z2022-04-29T08:28:00Z2019-04-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.99.084053Physical Review D, v. 99, n. 8, 2019.2470-00292470-0010http://hdl.handle.net/11449/22867910.1103/PhysRevD.99.0840532-s2.0-85065070172Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2022-04-29T08:28:00Zoai:repositorio.unesp.br:11449/228679Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T08:28Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach |
title |
F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach |
spellingShingle |
F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach Cuzinatto, R. R. |
title_short |
F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach |
title_full |
F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach |
title_fullStr |
F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach |
title_full_unstemmed |
F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach |
title_sort |
F (R,μ1R,⋯,μ1⋯μnR) theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach |
author |
Cuzinatto, R. R. |
author_facet |
Cuzinatto, R. R. De Melo, C. A.M. [UNESP] Medeiros, L. G. [UNESP] Pompeia, P. J. |
author_role |
author |
author2 |
De Melo, C. A.M. [UNESP] Medeiros, L. G. [UNESP] Pompeia, P. J. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Cidade Universitária Universidade Estadual Paulista (UNESP) Universidade Federal Do Rio Grande Do Norte Instituto Tecnológico da AeronáUtica |
dc.contributor.author.fl_str_mv |
Cuzinatto, R. R. De Melo, C. A.M. [UNESP] Medeiros, L. G. [UNESP] Pompeia, P. J. |
description |
In Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)PRVDAQ2470-001010.1103/PhysRevD.93.124034], it has been demonstrated that theories of gravity in which the Lagrangian includes terms depending on the scalar curvature R and its derivatives up to order n, i.e., f(R,μR,μ1μ2R,⋯,μ1μnR) theories of gravity, are equivalent to scalar-multitensorial theories in the Jordan frame. In particular, in the metric and Palatini formalisms, this scalar-multitensorial equivalent scenario shows a structure that resembles that of the Brans-Dicke theories with a kinetic term for the scalar field with ω0=0 or ω0=-3/2, respectively. In the present work, the aforementioned analysis is extended to the Einstein frame. The conformal transformation of the metric characterizing the transformation from Jordan's to Einstein's frame is responsible for decoupling the scalar field from the scalar curvature and also for introducing a usual kinetic term for the scalar field in the metric formalism. In the Palatini approach, this kinetic term is absent in the action. Concerning the other tensorial auxiliary fields, they appear in the theory through a generalized potential. As an example, the analysis of an extension of the Starobinsky model (with an extra term proportional to μRμR) is performed and the fluid representation for the energy-momentum tensor is considered. In the metric formalism, the presence of the extra term causes the fluid to be an imperfect fluid with a heat flux contribution; on the other hand, in the Palatini formalism the effective energy-momentum tensor for the extended Starobinsky gravity is that of a perfect fluid type. Finally, it is also shown that the extra term in the Palatini formalism represents a dynamical field which is able to generate an inflationary regime without a graceful exit. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-04-15 2022-04-29T08:28:00Z 2022-04-29T08:28:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevD.99.084053 Physical Review D, v. 99, n. 8, 2019. 2470-0029 2470-0010 http://hdl.handle.net/11449/228679 10.1103/PhysRevD.99.084053 2-s2.0-85065070172 |
url |
http://dx.doi.org/10.1103/PhysRevD.99.084053 http://hdl.handle.net/11449/228679 |
identifier_str_mv |
Physical Review D, v. 99, n. 8, 2019. 2470-0029 2470-0010 10.1103/PhysRevD.99.084053 2-s2.0-85065070172 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
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