Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.93.124034 http://hdl.handle.net/11449/161601 |
Resumo: | The equivalence between theories depending on the derivatives of R, i.e. f(R, del R, ... ,del R-n), and scalar-multi-tensorial theories is verified. The analysis is done in both metric and Palatini formalisms. It is shown that f(R,del R, ... ,del R-n) theories are equivalent to scalar-multi-tensorial ones resembling Brans-Dicke theories with kinetic terms omega(0) = 0 and omega(0) = -3/2 for metric and Palatini formalisms respectively. This result is analogous to what happens for f(R) theories. It is worth emphasizing that the scalar-multi-tensorial theories obtained here differ from Brans-Dicke ones due to the presence of multiple tensorial fields absent in the last. Furthermore, sufficient conditions are established for f(R,del R, ..., del R-n) theories to be written as scalar-multi-tensorial theories. Finally, some examples are studied and the comparison of f(R,del R, ..., del R-n) theories to f(R,square R,...,square R-n) theories is performed. |
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Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravityThe equivalence between theories depending on the derivatives of R, i.e. f(R, del R, ... ,del R-n), and scalar-multi-tensorial theories is verified. The analysis is done in both metric and Palatini formalisms. It is shown that f(R,del R, ... ,del R-n) theories are equivalent to scalar-multi-tensorial ones resembling Brans-Dicke theories with kinetic terms omega(0) = 0 and omega(0) = -3/2 for metric and Palatini formalisms respectively. This result is analogous to what happens for f(R) theories. It is worth emphasizing that the scalar-multi-tensorial theories obtained here differ from Brans-Dicke ones due to the presence of multiple tensorial fields absent in the last. Furthermore, sufficient conditions are established for f(R,del R, ..., del R-n) theories to be written as scalar-multi-tensorial theories. Finally, some examples are studied and the comparison of f(R,del R, ..., del R-n) theories to f(R,square R,...,square R-n) theories is performed.FAPERN-BrazilUniv Fed Alfenas, Inst Ciencia & Tecnol, Rodovia Jose Aurelio Vilela BR 267,Km 533,11999, BR-37701970 Pocos De Caldas, MG, BrazilUniv Estadual Paulista, Inst Fis Teor, Rua Bento Teobaldo Ferraz 271 Bloco 2,POB 70532-2, BR-01156970 Sao Paulo, SP, BrazilUniv Fed Rio Grande do Norte, Escola Ciencia & Tecnol, Campus Univ,S-N Lagoa Nova, BR-59078970 Natal, RN, BrazilInst Tecnol Aeronaut, Dept Fis, Praca Marechal Eduardo Gomes 50, BR-12228900 Sao Jose Dos Campos, SP, BrazilUniv Estadual Paulista, Inst Fis Teor, Rua Bento Teobaldo Ferraz 271 Bloco 2,POB 70532-2, BR-01156970 Sao Paulo, SP, BrazilAmer Physical SocUniv Fed AlfenasUniversidade Estadual Paulista (Unesp)Univ Fed Rio Grande do NorteInst Tecnol AeronautCuzinatto, R. R.Melo, C. A. M. de [UNESP]Medeiros, L. G. [UNESP]Pompeia, P. J.2018-11-26T16:37:46Z2018-11-26T16:37:46Z2016-06-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10application/pdfhttp://dx.doi.org/10.1103/PhysRevD.93.124034Physical Review D. College Pk: Amer Physical Soc, v. 93, n. 12, 10 p., 2016.2470-0010http://hdl.handle.net/11449/16160110.1103/PhysRevD.93.124034WOS:000377805500013WOS000377805500013.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review D1,801info:eu-repo/semantics/openAccess2023-12-25T06:23:57Zoai:repositorio.unesp.br:11449/161601Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:16:40.456417Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity |
title |
Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity |
spellingShingle |
Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity Cuzinatto, R. R. |
title_short |
Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity |
title_full |
Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity |
title_fullStr |
Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity |
title_full_unstemmed |
Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity |
title_sort |
Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity |
author |
Cuzinatto, R. R. |
author_facet |
Cuzinatto, R. R. Melo, C. A. M. de [UNESP] Medeiros, L. G. [UNESP] Pompeia, P. J. |
author_role |
author |
author2 |
Melo, C. A. M. de [UNESP] Medeiros, L. G. [UNESP] Pompeia, P. J. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Univ Fed Alfenas Universidade Estadual Paulista (Unesp) Univ Fed Rio Grande do Norte Inst Tecnol Aeronaut |
dc.contributor.author.fl_str_mv |
Cuzinatto, R. R. Melo, C. A. M. de [UNESP] Medeiros, L. G. [UNESP] Pompeia, P. J. |
description |
The equivalence between theories depending on the derivatives of R, i.e. f(R, del R, ... ,del R-n), and scalar-multi-tensorial theories is verified. The analysis is done in both metric and Palatini formalisms. It is shown that f(R,del R, ... ,del R-n) theories are equivalent to scalar-multi-tensorial ones resembling Brans-Dicke theories with kinetic terms omega(0) = 0 and omega(0) = -3/2 for metric and Palatini formalisms respectively. This result is analogous to what happens for f(R) theories. It is worth emphasizing that the scalar-multi-tensorial theories obtained here differ from Brans-Dicke ones due to the presence of multiple tensorial fields absent in the last. Furthermore, sufficient conditions are established for f(R,del R, ..., del R-n) theories to be written as scalar-multi-tensorial theories. Finally, some examples are studied and the comparison of f(R,del R, ..., del R-n) theories to f(R,square R,...,square R-n) theories is performed. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-06-13 2018-11-26T16:37:46Z 2018-11-26T16:37:46Z |
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.93.124034 Physical Review D. College Pk: Amer Physical Soc, v. 93, n. 12, 10 p., 2016. 2470-0010 http://hdl.handle.net/11449/161601 10.1103/PhysRevD.93.124034 WOS:000377805500013 WOS000377805500013.pdf |
url |
http://dx.doi.org/10.1103/PhysRevD.93.124034 http://hdl.handle.net/11449/161601 |
identifier_str_mv |
Physical Review D. College Pk: Amer Physical Soc, v. 93, n. 12, 10 p., 2016. 2470-0010 10.1103/PhysRevD.93.124034 WOS:000377805500013 WOS000377805500013.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D 1,801 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
10 application/pdf |
dc.publisher.none.fl_str_mv |
Amer Physical Soc |
publisher.none.fl_str_mv |
Amer Physical Soc |
dc.source.none.fl_str_mv |
Web of Science 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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1808129304614141952 |