A SPACETIME FOR WHICH THE KARLHEDE INVARIANT CLASSIFICATION REQUIRES THE 4TH COVARIANT DERIVATIVE OF THE RIEMANN TENSOR

被引：24

作者：

KOUTRAS, A

机构：

[1] School of Mathematical Sciences, Queen Mary and Westfield College, London, Mile End Road

来源：

CLASSICAL AND QUANTUM GRAVITY | 1992年 / 9卷 / 10期

关键词：

D O I：

10.1088/0264-9381/9/10/003

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

It is shown that the conformally flat radiation metric found by Wils requires the fourth covariant derivative of the Riemann tensor for the Karlhede classification to terminate. This contradicts a widely held opinion that the true upper bound is three. The metric can admit at most one Killing vector and/or a homothety.

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页码：L143 / L145

页数：3

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