A higher dimensional generalization of the geodesic part of the Goldberg–Sachs theorem
A higher dimensional generalization of the geodesic part of the Goldberg–Sachs theorem
复制标题
戈德堡-萨克斯定理测地线部分的高维推广
DOI：
10.1088/0264-9381/26/24/245005
复制
发表时间：
2009
影响因子：
3.5
通讯作者：
H. Reall
中科院分区：
文献类型：
--
作者：
Mark Durkee;H. Reall
在四维以上的时空中，多重外尔对齐的零方向（WAND）不一定是测地线。证明了任何允许非测地多重WAND的高维爱因斯坦时空也允许测地多重WAND。所有五维爱因斯坦时空承认一个非测地多重WAND的确定。
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.