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Kyungpook Mathematical Journal 2018; 58(2): 361-375

Published online June 23, 2018

Copyright © Kyungpook Mathematical Journal.

Super Quasi-Einstein Manifolds with Applications to General Relativity

Sahanous Mallick

Department of Mathematics, Chakdaha College, P. O.-Chakdaha, Dist-Nadia, West Bengal, India, e-mail: sahanousmallick@gmail.com

Received: September 27, 2017; Accepted: March 17, 2018

Abstract

The object of the present paper is to study super quasi-Einstein manifolds. Some geometric properties of super quasi-Einstein manifolds have been studied. We also discuss S(QE)4 spacetime with space-matter tensor and some properties related to it. Finally, we construct an example of a super quasi-Einstein spacetime.

Keywords: super quasi-Einstein manifolds, concurrent vector field, energy momentum tensor, Einstein's field equation, space-matter tensor