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arXiv · 1912.00480

The $W$-curvature tensor on relativistic space-times

H. M. Abu-donia·Sameh Shenawy·A. A. Syied
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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.

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H. M. Abu-donia, Sameh Shenawy, A. A. Syied. 2019-12-01. The $W$-curvature tensor on relativistic space-times. https://doi.org/10.5666/kmj.2020.60.1.185

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