Kantowski-Sachs Models with Domain Walls in f(R,T) Theory of Gravity

Abstract

Kantowski-Sachs space time is considered in f(R, T) theory of gravity proposed by Harko et al. (2011) in the presence of domain walls. Here, we have considered the functional f(R, T) to be in the form f(R, T) = f1(R) + f2(T) with f1(R) = λ1R, f2(T) = λ2T and f1(R) = λ1R, f2(T) = λ2T 2. The exact solutions to the corresponding field equations are obtained from the relationship between the shear scalar and expansion scalar of the model. This leads to the condition A = Bk, where A & B are metric potentials and k is an arbitrary constant. The physical and geometrical properties of the corresponding cosmological models also discussed.