相对论时空上的W曲率张量

arXiv: Differential Geometry Pub Date : 2019-12-01 DOI:10.5666/KMJ.2020.60.1.185

H. Abu-Donia, S. Shenawy, A. Syied

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引用次数: 7

摘要

本文的目的是研究相对论时空上的W曲率张量。如果W曲率张量是半对称的，那么时空的能量动量张量T是半对称的而具有无散度的W曲率张量的时空的能量动量张量T是Codazzi型的。一个具有无迹W曲率张量的时空就是爱因斯坦。曲率为W的平坦时空就是爱因斯坦。考虑了具有W曲率张量的完美流体时空。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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arXiv: Differential Geometry

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