f(R,∇μ1R,…,∇μ1…∇μnR) theories of gravity in Einstein frame: a higher order modified Starobinsky inflation model in the Palatini approach
In Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)], 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., fðR; ∇μR; ∇μ1∇μ2R; ...; ∇μ1 ∇μnRÞ theories of gravity, are equivalent to scalar-...
| Authors: | , , , |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2019 |
| Country: | Brasil |
| Institution: | Universidade Federal do Rio Grande do Norte (UFRN) |
| Repository: | Repositório Institucional da UFRN |
| Language: | English |
| OAI Identifier: | oai:repositorio.ufrn.br:123456789/29896 |
| Online Access: | https://repositorio.ufrn.br/jspui/handle/123456789/29896 |
| Access Level: | Open access |
| Keyword: | Theories of gravity Einstein frame Starobinsky inflation model Palatini approach |
| id |
BR_07301eaeb7373ffddbdb17b6f2cda7a2 |
|---|---|
| oai_identifier_str |
oai:repositorio.ufrn.br:123456789/29896 |
| network_acronym_str |
BR |
| network_name_str |
Brasil |
| repository_id_str |
|
| spelling |
f(R,∇μ1R,…,∇μ1…∇μnR) theories of gravity in Einstein frame: a higher order modified Starobinsky inflation model in the Palatini approachTheories of gravityEinstein frameStarobinsky inflation modelPalatini approachIn Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)], 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., fðR; ∇μR; ∇μ1∇μ2R; ...; ∇μ1 ∇μnRÞ 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 1⁄4 0 or ω0 1⁄4 −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 ∇μR∇μR) 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 exitAmerican Physical Society2020-08-26T15:07:54Z2020-08-26T15:07:54Z2019-04-30info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfCUZINATTO, R. R.; MELO, C. A. M. de; MEDEIROS, L. G.; POMPEIA, P. J.. f(R,∇μ1R,…,∇μ1…∇μnR) theories of gravity in Einstein frame: a higher order modified starobinsky inflation model in the palatini approach. Physical Review D, [s.l.], v. 99, n. 8, p. 1-2, 30 abr. 2019. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.99.084053. Acesso em: 25 ago.2010. http://dx.doi.org/10.1103/physrevd.99.084053.2470-001010.1103/PhysRevD.99.084053https://repositorio.ufrn.br/jspui/handle/123456789/29896ark:/41046/001300001z0f5engreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessMedeiros, Léo GouvêaCuzinatto, R.RMelo, C.A.M.Pompeia, P.J.2020-09-08T18:32:33Zoai:repositorio.ufrn.br:123456789/29896Repositório InstitucionalPUBhttp://repositorio.ufrn.br/oai/repositorio@bczm.ufrn.bropendoar:2020-09-08T18:32:33Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)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 Medeiros, Léo Gouvêa Theories of gravity Einstein frame Starobinsky inflation model Palatini approach |
| 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 |
| dc.creator.none.fl_str_mv |
Medeiros, Léo Gouvêa Cuzinatto, R.R Melo, C.A.M. Pompeia, P.J. |
| author |
Medeiros, Léo Gouvêa |
| author_facet |
Medeiros, Léo Gouvêa Cuzinatto, R.R Melo, C.A.M. Pompeia, P.J. |
| author_role |
author |
| author2 |
Cuzinatto, R.R Melo, C.A.M. Pompeia, P.J. |
| author2_role |
author author author |
| dc.subject.por.fl_str_mv |
Theories of gravity Einstein frame Starobinsky inflation model Palatini approach |
| topic |
Theories of gravity Einstein frame Starobinsky inflation model Palatini approach |
| description |
In Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)], 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., fðR; ∇μR; ∇μ1∇μ2R; ...; ∇μ1 ∇μnRÞ 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 1⁄4 0 or ω0 1⁄4 −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 ∇μR∇μR) 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 |
2019-04-30 2020-08-26T15:07:54Z 2020-08-26T15:07:54Z |
| 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 |
CUZINATTO, R. R.; MELO, C. A. M. de; MEDEIROS, L. G.; POMPEIA, P. J.. f(R,∇μ1R,…,∇μ1…∇μnR) theories of gravity in Einstein frame: a higher order modified starobinsky inflation model in the palatini approach. Physical Review D, [s.l.], v. 99, n. 8, p. 1-2, 30 abr. 2019. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.99.084053. Acesso em: 25 ago.2010. http://dx.doi.org/10.1103/physrevd.99.084053. 2470-0010 10.1103/PhysRevD.99.084053 https://repositorio.ufrn.br/jspui/handle/123456789/29896 |
| dc.identifier.dark.fl_str_mv |
ark:/41046/001300001z0f5 |
| identifier_str_mv |
CUZINATTO, R. R.; MELO, C. A. M. de; MEDEIROS, L. G.; POMPEIA, P. J.. f(R,∇μ1R,…,∇μ1…∇μnR) theories of gravity in Einstein frame: a higher order modified starobinsky inflation model in the palatini approach. Physical Review D, [s.l.], v. 99, n. 8, p. 1-2, 30 abr. 2019. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.99.084053. Acesso em: 25 ago.2010. http://dx.doi.org/10.1103/physrevd.99.084053. 2470-0010 10.1103/PhysRevD.99.084053 ark:/41046/001300001z0f5 |
| url |
https://repositorio.ufrn.br/jspui/handle/123456789/29896 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
American Physical Society |
| publisher.none.fl_str_mv |
American Physical Society |
| dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
| instname_str |
Universidade Federal do Rio Grande do Norte (UFRN) |
| instacron_str |
UFRN |
| institution |
UFRN |
| reponame_str |
Repositório Institucional da UFRN |
| collection |
Repositório Institucional da UFRN |
| repository.name.fl_str_mv |
Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN) |
| repository.mail.fl_str_mv |
repositorio@bczm.ufrn.br |
| _version_ |
1853668186652672000 |
| score |
15,301603 |