A higher dimensional generalization of the geodesic part of the Goldberg-Sachs theorem

被引：30

作者：

Durkee, Mark ^{[1
]}

Reall, Harvey S. ^{[1
]}

机构：

[1] Univ Cambridge, DAMTP, Ctr Math Sci, Cambridge CB3 0WA, England

来源：

CLASSICAL AND QUANTUM GRAVITY | 2009年 / 26卷 / 24期

关键词：

D O I：

10.1088/0264-9381/26/24/245005

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In more than four spacetime dimensions, a multiple Weyl-aligned null direction (WAND) need not be geodesic. It is proved that any higher dimensional Einstein spacetime admitting a non-geodesic multiple WAND also admits a geodesic multiple WAND. All five-dimensional Einstein spacetimes admitting a non-geodesic multiple WAND are determined.

引用

页数：14