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.author | Medeiros, Léo Gouvêa | |
dc.contributor.author | Cuzinatto, R.R | |
dc.contributor.author | Melo, C.A.M. | |
dc.contributor.author | Pompeia, P.J. | |
dc.date.accessioned | 2020-08-31T23:36:29Z | |
dc.date.available | 2020-08-31T23:36:29Z | |
dc.date.issued | 2016-06-13 | |
dc.description.resumo | The 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 performed | pt_BR |
dc.identifier.citation | CUZINATTO, 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.doi | 10.1103/PhysRevD.93.124034 | |
dc.identifier.issn | 2470-0010 | |
dc.identifier.issn | 2470-0029 | |
dc.identifier.uri | https://repositorio.ufrn.br/jspui/handle/123456789/29908 | |
dc.language | en | pt_BR |
dc.publisher | American Physical Society | pt_BR |
dc.subject | Scalar-multi-tensorial | pt_BR |
dc.subject | Theories of gravity | pt_BR |
dc.title | Scalar-multi-tensorial equivalence for higher order f(R , ∇ μ R , ∇ μ 1 ∇ μ 2 R , … , ∇ μ 1 … ∇ μ n R) theories of gravity | pt_BR |
dc.type | article | pt_BR |
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