Cosmological Power Law Model & Exponential Model in F(R) Gravity

Abstract

In this paper, we attempt to study the vacuum solutions of Bianchi type-VI_h (h=1) metric in the framework of f(R) modified gravity. Two exact solution of field equation have obtained by using special law of variation for Hubble’s parameter proposed by Berman [33], corresponds to the model of the universe in which first solution gives a power-law model of the universe while second solution provides an exponential model of the universe. The physical behavior of the universe has been discussed by using some physical and geometrical properties. Also, we can find the function of the Ricci scalar f(R) and R.