The simplest non-minimal matter–geometry coupling in the f(R, T) cosmology

Abstract f(R, T) gravity is an extended theory of gravity in which the gravitational action contains general terms of both the Ricci scalar R and the trace of the energy-momentum tensor T. In this way, f(R, T) models are capable of describing a non-minimal coupling between geometry (through terms in...

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Main Authors: P. H. R. S. Moraes, P. K. Sahoo
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5062-8
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author P. H. R. S. Moraes
P. K. Sahoo
author_facet P. H. R. S. Moraes
P. K. Sahoo
author_sort P. H. R. S. Moraes
collection DOAJ
description Abstract f(R, T) gravity is an extended theory of gravity in which the gravitational action contains general terms of both the Ricci scalar R and the trace of the energy-momentum tensor T. In this way, f(R, T) models are capable of describing a non-minimal coupling between geometry (through terms in R) and matter (through terms in T). In this article we construct a cosmological model from the simplest non-minimal matter–geometry coupling within the f(R, T) gravity formalism, by means of an effective energy-momentum tensor, given by the sum of the usual matter energy-momentum tensor with a dark energy contribution, with the latter coming from the matter–geometry coupling terms. We apply the energy conditions to our solutions in order to obtain a range of values for the free parameters of the model which yield a healthy and well-behaved scenario. For some values of the free parameters which are submissive to the energy conditions application, it is possible to predict a transition from a decelerated period of the expansion of the universe to a period of acceleration (dark energy era). We also propose further applications of this particular case of the f(R, T) formalism in order to check its reliability in other fields, rather than cosmology.
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spelling doaj.art-06f0c6b8f21e460e83e413f12f675af02022-12-22T03:16:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-07-017771810.1140/epjc/s10052-017-5062-8The simplest non-minimal matter–geometry coupling in the f(R, T) cosmologyP. H. R. S. Moraes0P. K. Sahoo1Departamento de Física, ITA - Instituto Tecnológico de AeronáuticaDepartment of Mathematics, Birla Institute of Technology and Science-PilaniAbstract f(R, T) gravity is an extended theory of gravity in which the gravitational action contains general terms of both the Ricci scalar R and the trace of the energy-momentum tensor T. In this way, f(R, T) models are capable of describing a non-minimal coupling between geometry (through terms in R) and matter (through terms in T). In this article we construct a cosmological model from the simplest non-minimal matter–geometry coupling within the f(R, T) gravity formalism, by means of an effective energy-momentum tensor, given by the sum of the usual matter energy-momentum tensor with a dark energy contribution, with the latter coming from the matter–geometry coupling terms. We apply the energy conditions to our solutions in order to obtain a range of values for the free parameters of the model which yield a healthy and well-behaved scenario. For some values of the free parameters which are submissive to the energy conditions application, it is possible to predict a transition from a decelerated period of the expansion of the universe to a period of acceleration (dark energy era). We also propose further applications of this particular case of the f(R, T) formalism in order to check its reliability in other fields, rather than cosmology.http://link.springer.com/article/10.1140/epjc/s10052-017-5062-8
spellingShingle P. H. R. S. Moraes
P. K. Sahoo
The simplest non-minimal matter–geometry coupling in the f(R, T) cosmology
European Physical Journal C: Particles and Fields
title The simplest non-minimal matter–geometry coupling in the f(R, T) cosmology
title_full The simplest non-minimal matter–geometry coupling in the f(R, T) cosmology
title_fullStr The simplest non-minimal matter–geometry coupling in the f(R, T) cosmology
title_full_unstemmed The simplest non-minimal matter–geometry coupling in the f(R, T) cosmology
title_short The simplest non-minimal matter–geometry coupling in the f(R, T) cosmology
title_sort simplest non minimal matter geometry coupling in the f r t cosmology
url http://link.springer.com/article/10.1140/epjc/s10052-017-5062-8
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