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Characterizations of mixed quasi-Einstein spacetimes under Gray's decomposition.
- Source :
-
International Journal of Geometric Methods in Modern Physics . Feb2023, Vol. 20 Issue 2, p1-13. 13p. - Publication Year :
- 2023
-
Abstract
- In this study, we analyze mixed quasi-Einstein spacetimes endowed with Gray's decomposition, as well as generalized Robertson–Walker spacetimes. For mixed quasi-Einstein spacetimes, the shape of the Ricci tensor in all (n) -invariant subspaces can be identified using Gray's decomposition of the gradient of the Ricci tensor. In case one, such a spacetime is found to be static; in three cases, the Ricci tensor is found to be in the form of a  perfect fluid; and in the other three situations, the spacetime becomes a quasi-Einstein spacetime under certain restrictions on the associated vector fields. Finally, it is established that a mixed quasi-Einstein generalized  Robertson–Walker spacetime is a perfect fluid spacetime. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EINSTEIN field equations
*VECTOR fields
*SPACETIME
Subjects
Details
- Language :
- English
- ISSN :
- 02198878
- Volume :
- 20
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Publication Type :
- Academic Journal
- Accession number :
- 161723869
- Full Text :
- https://doi.org/10.1142/S0219887823500202