Conformal vector fields and dynamics of kantowski sachs and bianchi type III perfect fluid space-times in F(R,T) gravity

The aim of this paper is to investigate proper conformal vector fields (CVFs) and dynamics of Kantowski Sachs (KS) and Bianchi type (BT) III perfect fluid space-times in the f(R,T) gravity. Initially, we have found some solutions in f(R,T) gravity by writing it as a sum of f(R) and the trace of matter. Implementing a classification scheme, we found that the solutions fall in seven different cases. Inspecting all cases separately, we reach at the fact that there exist only one case in which the space-time admit proper CVF. In rest of the six cases, the CVFs become the Killing vector fields (KVFs). We have also calculated some dynamical parameters corresponding to each of the obtained solution.