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

作者：Moraes P H R S^*; Sahoo P K

来源：European Physical Journal C, 2017, 77(7): 480.

DOI：10.1140/epjc/s10052-017-5062-8

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.

• 出版日期2017-7-18