The $W$-curvature tensor on relativistic space-times
Abstract
This paper aims to study the $W$-curvature tensor on relativistic space-times. The energy-momentum tensor T of a space-time is semi-symmetric given that the $W$-curvature tensor is semi-symmetric whereas energy-momentum tensor T of a space-time having a divergence free $W$-curvature tensor is of Codazzi type. A space-time having a traceless $W$-curvature tensor is Einstein. A $W$-curvature flat space-time is Einstein. Perfect fluid space-times which admits $W$-curvature tensor are considered.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2019
- DOI:
- 10.48550/arXiv.1912.00480
- arXiv:
- arXiv:1912.00480
- Bibcode:
- 2019arXiv191200480A
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematical Physics
- E-Print:
- KYUNGPOOK Math. J. 60(2020), 185-195