On Weakly Z Symmetric Spacetimes

The object of the present paper is to study weakly Z symmetric spacetimes (WZS)4. At rst we prove that a weakly Z symmetric spacetime is a quasi-Einstein spacetime and hence a perfect uid spacetime. Next, we consider conformally at (WZS)4 spacetimes and prove that such a spacetime is innitesimally spatially isotropic relative to the unit timelike vector field. We also study (WZS)4 spacetimes with divergence free conformal curvature tensor. Moreover, we characterize dust uid and viscous uid (WZS)4 spacetimes. Finally, we construct an example of a (WZS)4 spacetime. KCI Citation Count: 0