Rotating and expanding Bianchi type-IX model in f ( R , T ) $f(R,T)$ theory of gravity

Abstract

The spatially homogeneous shear-free, rotating and expanding Bianchi type-IX universe has been considered in the presence of perfect fluid in \(f(R,T)\) theory of gravity. The exact solution of the field equations has been obtained and the functional form of \(f(R,T)=R+2f(T)\) gravity has been reconstructed. The existence of such a solution suggests that the general relativistic shear-free perfect fluid conjecture which claims that a shear-free perfect fluid cannot rotate and expand at the same time, is not valid in this modified theory.