FLRW cosmological model in f(R,T) gravity

Abstract

In this paper, the Friedmann-Lemaitre-Robertson-Walker cosmological models with a perfect fluid in the f(R,T) theory of gravity are re-discussed. There are several ways to generate solutions. One way is to assume a barotropic equation of state. The other is to use a deceleration parameter that varies linearly with time. An existing solution in the literature is reviewed, where solutions are obtained by assuming, in addition to a barotropic equation of state, a linear varying deceleration parameter. It is pointed out such an assumption leads to an over-determination of the solution. Hence, the feasibility of the solutions is a necessary condition to be satisfied. Only one of the assumptions of an equation of state or of a linearly varying deceleration parameter is sufficient to generate solutions. The proper solutions are given and discussed.

Keywords

• f(R,T) gravity
• FLRW models
• Linear varying deceleration parameter
• Cosmological solutions
• Feasibility of solutions