Scalar-multi-tensorial equivalence for higher order f(R , ∇ μ R , ∇ μ 1 ∇ μ 2 R , … , ∇ μ 1 … ∇ μ n R) theories of gravity

dc.contributor.authorMedeiros, Léo Gouvêa
dc.contributor.authorCuzinatto, R.R
dc.contributor.authorMelo, C.A.M.
dc.contributor.authorPompeia, P.J.
dc.date.accessioned2020-08-31T23:36:29Z
dc.date.available2020-08-31T23:36:29Z
dc.date.issued2016-06-13
dc.description.resumoThe equivalence between theories depending on the derivatives of R,i.e. f(R,∇ R,…,∇nR), and scalar-multi-tensorial theories is verified. The analysis is done in both metric and Palatini formalisms. It is shown that f(R,∇R,…,∇nR) theories are equivalent to scalar-multi-tensorial ones resembling Brans-Dicke theories with kinetic terms ω0=0 and ω0=−32 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,∇R,…,∇nR) theories to be written as scalar-multi-tensorial theories. Finally, some examples are studied and the comparison of f(R∇R,…,∇nR) theories to f (R,□R,…,□nR) theories is performedpt_BR
dc.identifier.citationCUZINATTO, R. R.; MELO, C. A. M. de; MEDEIROS, L. G.; POMPEIA, P. J.. Scalar-multi-tensorial equivalence for higher orderf(R,∇μR,∇μ1∇μ2R,…,∇μ1…∇μnR)theories of gravity. Physical Review D, [s.l.], v. 93, n. 12, p. 124034, 13 jun. 2016. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.93.124034. Acesso em: 12 ago. 2020. http://dx.doi.org/10.1103/physrevd.93.124034.pt_BR
dc.identifier.doi10.1103/PhysRevD.93.124034
dc.identifier.issn2470-0010
dc.identifier.issn2470-0029
dc.identifier.urihttps://repositorio.ufrn.br/jspui/handle/123456789/29908
dc.languageenpt_BR
dc.publisherAmerican Physical Societypt_BR
dc.subjectScalar-multi-tensorialpt_BR
dc.subjectTheories of gravitypt_BR
dc.titleScalar-multi-tensorial equivalence for higher order f(R , ∇ μ R , ∇ μ 1 ∇ μ 2 R , … , ∇ μ 1 … ∇ μ n R) theories of gravitypt_BR
dc.typearticlept_BR

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