The study of anisotropic perfect fluid cosmological models in f(R, T) gravity

In this paper, we have studied anisotropic axially symmetric perfect fluid cosmological model in f (R, T) gravity. As proposed by Harko et al. [1], by assuming the particular choice f (R, T) = f(1)(R) + f(2)(T) the field equations of present cosmological model are derived. In the present model we considered f (R, T) = R + aR(2) + ?T, where a, ? are constants. The choice of f1(R) = R + aR(2) is given by Starobinsky [2] which gained a lot of importance in recent years. The exact solutions of the field equations are obtained by using the condition (i) s ? 0 where 0 is the expansion scalar, s is shear scalar (ii) The scale factor as hybrid expansion law a(t) = a1e(ct)t(b) where a(1) > 0 and b, c = 0. The geometrical and physical parameters are obtained and discussed for the obtained model. The nature of pressure (p), energy density (?), SEC, DEC, NEC are discussed for n = 0.5, 1.2. The null, dominant energy conditions were satisfied for both values, whereas SEC is violated for both the values of n = 0.5, 1.2. The violation of the SEC leads to the accelerated expansion of the cosmos. The cosmological parameter, like the statefinder parameter, is also investigated to study the model in detail. The stability of the model is also discussed through the perturbation approach. We have plotted graphs for all the parameters and finally observed that the obtained model represents an accelerated expanding cosmos.