Some characterizations of Pseudo Z symmetric spacetimes

Abstract

The motive of this work is to investigate pseudo Z symmetric spacetimes. At first we present some basic properties of pseudo Z symmetric spacetimes showing that the 1-forms A and B and the scalars a and b associated with the spacetime agree with a specific relation. Next we explore conditions under which a pseudo Z symmetric spacetime to be a GRW spacetime and a quasi-Einstein spacetime respectively. Also we provide some results on pseudo Ricci symmetric spacetimes.