Anisotropic Bianchi Type-VIh Perfect Fluid Cosmological Models in a Modified Theory of Gravity

Abstract

An anisotropic Bianchi type-VI_h cosmological space-time with perfect fluid source in the frame work of f(R,T) modified theory of gravity proposed by Harko et al. [1] has been investigated for a special choice of f(R,T) =f₁(R)+f₂(T). To obtain a solution, it is assumed that scalar of expansion is proportional to shear scalar i.e. θ ∝ σ², which leads to a relation between metric potentials. Some important properties of the universe including look-back time, distance modulus and luminosity distance versus redshift with their significances are discussed.