Exponential & Power Law Models with General Relativistic Hydrodynamics in f(R) Gravity

Abstract

In the present article, we investigate Bianchi type-I models in the context of the f(R) theory of gravity using general relativistic hydrodynamics (GRH). The exact solutions of the field equations are deduced by considering exponential and power-law volumetric expansion. Various physical and kinematical properties of the models are discussed. In addition, to further clarify our view, we used the state finder diagnostic pair and cosmic jerk parameter to describe the different phases of the universe. In each case, the function of the Ricci scalar is also evaluated.