Tsukuba Journal of Mathematics
- Tsukuba J. Math.
- Volume 33, Number 2 (2009), 305-326.
On quasi-Einstein spacetimes
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.
Tsukuba J. Math., Volume 33, Number 2 (2009), 305-326.
First available in Project Euclid: 26 February 2010
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53B30: Lorentz metrics, indefinite metrics 53B50: Applications to physics 53C50: Lorentz manifolds, manifolds with indefinite metrics 53C80: Applications to physics 83D05: Relativistic gravitational theories other than Einstein's, including asymmetric field theories
Shaikh, Absos Ali; Yoon, Dae Won; Hui, Shyamal Kumar. On quasi-Einstein spacetimes. Tsukuba J. Math. 33 (2009), no. 2, 305--326. doi:10.21099/tkbjm/1267209423. https://projecteuclid.org/euclid.tkbjm/1267209423