On quasi-Einstein spacetimes
Shaikh, Absos Ali ; Yoon, Dae Won ; Hui, Shyamal Kumar
Tsukuba J. Math., Tome 33 (2009) no. 2, p. 305-326 / Harvested from Project Euclid
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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.
Publié le : 2009-12-15
Classification:  quasi-Einstein spacetime,  cyclic parallel Ricci tensor,  conformally flat,  scalar curvature,  energy-momentum tensor,  Codazzi tensor,  perfect fluid spacetime,  Killing vector field,  53B30,  53B50,  53C50,  53C80,  83D05 
@article{1267209423,
     author = {Shaikh, Absos Ali and Yoon, Dae Won and Hui, Shyamal Kumar},
     title = {On quasi-Einstein spacetimes},
     journal = {Tsukuba J. Math.},
     volume = {33},
     number = {2},
     year = {2009},
     pages = { 305-326},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1267209423}
}

Shaikh, Absos Ali; Yoon, Dae Won; Hui, Shyamal Kumar. On quasi-Einstein spacetimes. Tsukuba J. Math., Tome 33 (2009) no. 2, pp.  305-326. http://gdmltest.u-ga.fr/item/1267209423/