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ON RIEMANNIAN MANIFOLDS ADMITTING W2-CURVATURE TENSOR.
- Source :
-
Miskolc Mathematical Notes . 2011, Vol. 12 Issue 2, p289-296. 8p. - Publication Year :
- 2011
-
Abstract
- The object of this paper is to study the properties of flat spacetimes under some conditions regarding the W2-curvature tensor. In the first section, several results are obtained on the geometrical symmetries of this curvature tensor. It is shown that in a spacetime with W2- curvature tensor filled with a perfect fluid, the energy momentum tensor satisfying the Einstein's equations with a cosmological constant is a quadratic conformal Killing tensor. It is also proved that a necessary and sufficient condition for the energy momentum tensor to be a quadratic Killing tensor is that the scalar curvature of this space must be constant. In a radiative perfect fluid, it is shown that the sectional curvature is constant. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 12
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 78045003
- Full Text :
- https://doi.org/10.18514/MMN.2011.332