Projective Collineation in Space-Times of Pseudo-Symmetric Type

Abstract

This article deals with an investigation of projective collineations in pseudo-symmetric type space-times. First we deduce that if a pseudo-Ricci symmetric space-time admits a projective collineation whose associated vector field is a special projective vector field, then the space-time represents a stiff matter fluid. Also, we establish that if a pseudo-projective symmetric space-time admits a projective collineation whose associated vector field is a projective vector field, then the space-time becomes an Einstein space-time. Finally, we illustrate that if a pseudo-projective symmetric space-time admits a non-affine projective vector field, then the space-time becomes a perfect fluid space-time.