CERTAIN INVESTIGATIONS OF PSEUDO Z-SYMMETRIC SPACETIMES.

The section 1 of this paper deals with the definition for a pseudo symmetric spacetime. In section 2, it is proved that a (PZS)4 spacetime satisfying Codazzi type of Z-tensor does not exist. In which condition a (PZS)4 spacetime can be a perfect fluid has been found as a necessary and sufficient condition. After that, special properties are obtained if the (PZS)4 spacetime has harmonic conformal curvature tensor. [ABSTRACT FROM AUTHOR]