Z-symmetric manifold admitting concircular Ricci symmetric tensor

On Z-Symmetric Manifold Admitting Projective Curvature Tensor

“…This manifold has received a great deal of attention and is studied in considerable detail by many authors [26][27][28][29][30][31][32][33]. Motivated by the above studies, in the present, we examine the properties of the Z-tensor of a Riemannian manifold admitting the projective curvature tensor.…”

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

“…Let consider the matter of a perfect fluid (WRS) n spacetime with isotropic pressure p, energy density σ, and velocity vector ρ is given by (X, ρ) = µ(X) for all X. Also, we know that there is no unique value of Lagrangian, therefore we assume that L m = −p and using (5) we turn up T(U, V) = p (U, V) + (σ + p)η(U)η(V), (33) where (ρ, ρ) = −1. Using (33), we can easily obtain the variation of stress energy in the following form…”

“…Recently, Mantica and Molinari [21] cultivated some properties for (WRS) n with the help of Lovelock's identity. Also several researchers( [3], [7], [12], [13], [33]) have explored geometrical and physical consequences of manifolds and perfect fluid spacetimes in different ways. Definition 1.1.…”

Three-dimensional trans-Sasakian manifolds and solitons

“…The choice of w ¼ − r n shows that the generalized Z tensor reduces to the classical Z tensor. The deep results of Z tensor have been noticed in [33][34][35][36][37][38][39].…”