• MATTER BOUNCE SCENARIO WITH BIANCHI TYPE I SPACE TIME IN f(R, T) GRAVITY

Abstract

We investigated Bianchi type -I space time cosmological modelling of matter bounce in the framework of f(R, T) gravity where f(R, T) = R + 2λT. We start by defining a parametrization of cosmic factor a(t) which is non-vanishing. The geometrical parameters such as the Hubble parameter and deceleration parameter are derived and also derived expression of metric function A(t), B(t),C(t) from this investigate hubble parameter with respect to A(t), B(t),C(t), from which using some condition of integrating constants derived expressions of pressure, density and Equation of State (EoS) parameter and a qualitative understanding of the initial conditions of the universe at the bounce are ascertained. We found that the initial conditions of the universe are finite owing to the non-vanishing nature of the scale factor thus eliminates the initial singularity problem. Furthermore, we show the violation of energy conditions near the bouncing region of our model with respect to linear homogeneous perturbations in Bianchi Type -I cosmological space time convert into FLRW cosmological space time for vanishes integrating constant of metric function. Also stability of perturbation equation is highly unstable near the bounce and also unstable for some constraining λ and away from bounce perturbation decay for check its stability at late-times.