Plane Symmetric Solutions in f(R,T) Gravity

Abstract

The main purpose of this paper is to investigate the exact solutions of plane symmetric spacetime in the context of f(R,T) gravity [Phys. Rev. D 84 (2011) 024020], where f(R,T) is an arbitrary function of Ricci scalar R and trace of the energy momentum tensor T. We explore the exact solutions for two different classes of f(R,T) models. The first class f(R,T) = R + 2f(T) yields a solution which corresponds to Taub's metric while the second class f(R,T) = f1(R) + f2(T) provides two additional solutions which include the well known anti-deSitter spacetime. The energy densities and corresponding functions for f(R,T) models are evaluated in each case.