• THE STUDY OF MATTER SYMMETRIES IN HIGHER DIMENSIONAL LRS BIANCHI TYPE-I SPACE-TIME WITH PERFECT FLUID

Abstract

In the present paper, the higher dimensional LRS Bianchi type-I space-time has been classified according to matter symmetries (collineations) in presence of perfect fluid. We have obtained different constraint conditions on energy-momentum tensor () for perfect fluid. If we solve these constraint conditions, we obtain new exact solutions of Einstein field equations. These are studied when energy-momentum tensor is degenerate and non-degenerate by applying these constraint conditions on energy-momentum tensor (). We have considered only those cases which satisfy energy conditions for perfect fluid.