Pseudo generalized quasi-Einstein manifolds with applications to general relativity-Reference-Cited by-同舟云学术

Pseudo generalized quasi-Einstein manifolds with applications to general relativity

Published:2024 Issue:2 Volume:38 Page:553-567
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Vasiulla Mohd¹,Ali Mohabbat¹

Affiliation:

1. Department of Applied Sciences & Humanities, Faculty of Engineering & Technology, Jamia Millia Islamia(Central University), New Delhi, India

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.

Publisher

National Library of Serbia

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