Search

In this paper, we explore a set of geometric properties of Mixed Super Quasi-Einstein (MSQE) manifolds and provide examples of both Riemannian and Lorentzian MSQE manifolds to demonstrate their existence. Furthermore, we examine MSQE spacetimes in the context of the space-matter tensor, discussing several related properties. Finally, we establish the existence of an MSQE spacetime through a nontrivial example. [ABSTRACT FROM AUTHOR]

In the present paper we study Ricci pseudo-symmetry, Z-Ricci pseudo-symmetry and concircularly pseudo-symmetry conditions on a mixed generalized quasi-Einstein spacetime MG(QE)4. Also, it is proven that if d ≠ Λ, then MG(QE)4 spacetime does not admit heat flux, where d and Λ are the function and the cosmological constant, respectively. In the end of this paper we construct a non-trivial example of MG(QE)4 to prove its existence. [ABSTRACT FROM AUTHOR]

The subject of the present paper is to introduce a type of non- at Riemannian manifold called an almost pseudo Schouten symmetric manifold A(PSS)n. Some geometric properties have been studied of this manifold. Also, the existence of such a manifold is ensured by a non-trivial example. Finally, we have studied about hypersurface of an A(PSS)n. [ABSTRACT FROM AUTHOR]