Year: 2024
Type: article
Abstract: Quasi-Einstein manifold and generalized quasi-Einstein manifold are the generalization of Einstein manifold. In the present paper we discuss about a set of some geometric properties of pseudo generalized quasi-Einstein manifold and we give three and four examples (both Riemannian and Lorentzian) of pseudo generalized quasi-Einstein manifold to show the existence of such manifold. We also discuss PG(QE)4 spacetime with space-matter tensor and some properties related to it. Lastly we prove the existence of a pseudo generalized quasi-Einstein spacetime by constructing a non-trivial example.
Source: Filomat
DOI: 10.2298/fil2402553v
Authors: Mohd Vasiulla, Mohabbat Ali
Institution: Jamia Millia Islamia
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402200486