On the symmetry of the perfect fluid space-times

Abstract

The concept of Ricci inheritance has been studied for perfect fluid space-times. The necessary and sufficient conditions for such space-times to admit space-like Ricci inheritance vector has been obtained in the terms of the kinematical quantities of the space-like congreuences generated by a unit vector na orthogonalto the flow velocity vector ua. dust and irrotational dust universes have been considered and the conservation laws for space-like Ricii-inheritance vector are given. For some special choice the results of this paper reduce to perfect fluid space-times admitting Ricci collineation.