ON LOCAL CURVATURE SYMMETRIES OF GRW SPACE-TIMES

Abstract

Classification theorems of locally symmetric, second-order locally symmetric, Ricci symmetric, semi-symmetric and Ricci semi-symmetric generalized Robertson-Walker (in short, GRW) spacetime I f × N are given. Some implications for these symmetries of GRW space-times are considered. A summary of sufficient conditions on the warping function f and the fibre manifold N is given to verify each symmetry.