Observational constraints on a phenomenological f (R,∂ R)-model

This paper analyses the cosmological consequences of a modified theory of gravity whose action integral is built from a linear combination of the Ricci scalar R and a quadratic term in the covariant derivative of R. The resulting Friedmann equations are of the fifth-order in the Hubble function. The...

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Principais autores: Medeiros, Léo Gouvêa, Melo, C.A.M., Cuzinatto, R.R., Pompeia, P.J.
Formato: article
Idioma:English
Publicado em: General Relativity And Gravitation
Assuntos:
Observational constraints
Phenomenological
f(R,∂ R)-model
Endereço do item:https://repositorio.ufrn.br/jspui/handle/123456789/29910
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spelling ri-123456789-299102020-09-08T18:31:54Z Observational constraints on a phenomenological f (R,∂ R)-model Medeiros, Léo Gouvêa Melo, C.A.M. Cuzinatto, R.R. Pompeia, P.J. Observational constraints Phenomenological f(R,∂ R)-model This paper analyses the cosmological consequences of a modified theory of gravity whose action integral is built from a linear combination of the Ricci scalar R and a quadratic term in the covariant derivative of R. The resulting Friedmann equations are of the fifth-order in the Hubble function. These equations are solved numerically for a flat space section geometry and pressureless matter. The cosmological parameters of the higher-order model are fit using SN Ia data and X-ray gas mass fraction in galaxy clusters. The best-fit present-day t0 values for the deceleration parameter, jerk and snap are given. The coupling constant β of the model is not univocally determined by the data fit, but partially constrained by it. Density parameter Ωm0 is also determined and shows weak correlation with the other parameters. The model allows for two possible future scenarios: there may be either an eternal expansion or a Rebouncing event depending on the set of values in the space of parameters. The analysis towards the past performed with the best-fit parameters shows that the model is not able to accommodate a matter-dominated stage required to the formation of structure 2020-08-31T23:55:34Z 2020-08-31T23:55:34Z 2015-02-24 article CUZINATTO, R. R.; MELO, C. A. M.; MEDEIROS, L. G.; POMPEIA, P. J.. Observational constraints on a phenomenological $$f\left( R,\partial R\right) $$ f R , ∂ R -model. General Relativity And Gravitation, [s.l.], v. 47, n. 3, p. 29, 24 fev. 2015. Disponível em: https://link.springer.com/article/10.1007/s10714-015-1862-z. Acesso em: 12 ago. 2020. http://dx.doi.org/10.1007/s10714-015-1862-z. 0001-7701 1572-9532 https://repositorio.ufrn.br/jspui/handle/123456789/29910 10.1007/s10714-015-1862-z en Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ application/pdf General Relativity And Gravitation
institution Repositório Institucional
collection RI - UFRN
language English
topic Observational constraints
Phenomenological
f(R,∂ R)-model
spellingShingle Observational constraints
Phenomenological
f(R,∂ R)-model
Medeiros, Léo Gouvêa
Melo, C.A.M.
Cuzinatto, R.R.
Pompeia, P.J.
Observational constraints on a phenomenological f (R,∂ R)-model
description This paper analyses the cosmological consequences of a modified theory of gravity whose action integral is built from a linear combination of the Ricci scalar R and a quadratic term in the covariant derivative of R. The resulting Friedmann equations are of the fifth-order in the Hubble function. These equations are solved numerically for a flat space section geometry and pressureless matter. The cosmological parameters of the higher-order model are fit using SN Ia data and X-ray gas mass fraction in galaxy clusters. The best-fit present-day t0 values for the deceleration parameter, jerk and snap are given. The coupling constant β of the model is not univocally determined by the data fit, but partially constrained by it. Density parameter Ωm0 is also determined and shows weak correlation with the other parameters. The model allows for two possible future scenarios: there may be either an eternal expansion or a Rebouncing event depending on the set of values in the space of parameters. The analysis towards the past performed with the best-fit parameters shows that the model is not able to accommodate a matter-dominated stage required to the formation of structure
format article
author Medeiros, Léo Gouvêa
Melo, C.A.M.
Cuzinatto, R.R.
Pompeia, P.J.
author_facet Medeiros, Léo Gouvêa
Melo, C.A.M.
Cuzinatto, R.R.
Pompeia, P.J.
author_sort Medeiros, Léo Gouvêa
title Observational constraints on a phenomenological f (R,∂ R)-model
title_short Observational constraints on a phenomenological f (R,∂ R)-model
title_full Observational constraints on a phenomenological f (R,∂ R)-model
title_fullStr Observational constraints on a phenomenological f (R,∂ R)-model
title_full_unstemmed Observational constraints on a phenomenological f (R,∂ R)-model
title_sort observational constraints on a phenomenological f (r,∂ r)-model
publisher General Relativity And Gravitation
publishDate 2020
url https://repositorio.ufrn.br/jspui/handle/123456789/29910
work_keys_str_mv AT medeirosleogouvea observationalconstraintsonaphenomenologicalfrrmodel
AT melocam observationalconstraintsonaphenomenologicalfrrmodel
AT cuzinattorr observationalconstraintsonaphenomenologicalfrrmodel
AT pompeiapj observationalconstraintsonaphenomenologicalfrrmodel
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