On some non-static plane symmetric perfect fluid solutions in [formula omitted] gravity

Abstract

We address the problem of finding non-static plane symmetric perfect fluid solutions in the f(R,T) theory of gravity, where R and T respectively are the Ricci scalar and trace of the energy momentum tensor. In order to obtain solutions, a classification has been proposed for such spacetimes. Solutions are then calculated in each of these classes, which include special Bianchi-Type I and static plane symmetric geometries. The static geometries are no surprise, but importantly, non-static spacetime metrics have also been found. It is well known that the class of isometries are the source of deriving the conservation laws. Therefore, we work out the Killing symmetries to determine the Lie symmetry groups admitted by the obtained spacetimes. As a result of our analysis, we find that the obtained spacetimes admit 10, 7, 6, 5, 4 and 3 Killing vector fields.