SPACETIMES ADMITTING DIVERGENCE FREE m-PROJECTIVE CURVATURE TENSOR

. This paper is concerned with the study of spacetimes satisfying divM = 0, where "div" denotes the divergence and M is the mprojective curvature tensor. We establish that a perfect fluid spacetime with divM = 0 is a generalized Robertson-Walker spacetime and vorticity free; whereas a four-dimensional perfect fluid spacetime becomes a Robertson-Walker spacetime. Moreover, we establish that a Ricci recurrent spacetime with divM = 0 represents a generalized Robertson-Walker spacetime.