Study of weakly Ricci-symmetric spacetimes under Gray's decomposition and f (R, T)-gravity


Bang-Yen Chen, Uday Chand De, Fatemah Mofarreh




In this paper we characterize weakly Ricci-symmetric spacetimes (WRS) n endowed with the Gray's Decomposition. We provide, several interesting results of (WRS) n in Gray's Decomposition. In addition we discuss some results based on weakly Ricci-symmetric Generalized Robertson Walker (GRW) spacetimes. Moreover, we study (WRS) n spacetimes which satisfy the f (R, T)-gravity equation.