Abstract
The notion of quasi-Einstein manifolds arose during the study of exact solutions of the Einstein field equations as well as during considerations of quasi-umbilical hypersurfaces. For instance, the Robertson-Walker spacetimes are quasi-Einstein manifolds. The object of the present paper is to study quasi-Einstein spacetimes. Some basic geometric properties of such a spacetime are obtained. The applications of quasi-Einstein spacetimes in general relativity and cosmology are investigated. Finally, the existence of such spacetimes are ensured by several interesting examples.
Citation
Shyamal Kumar Hui. Absos Ali Shaikh. Dae Won Yoon. "On quasi-Einstein spacetimes." Tsukuba J. Math. 33 (2) 305 - 326, December 2009. https://doi.org/10.21099/tkbjm/1267209423
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