On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines

被引:14
作者
Galaev, Anton S. [1 ]
Leistner, Thomas [2 ]
机构
[1] Masaryk Univ, Fac Sci, Dept Math & Stat, CS-61137 Brno, Czech Republic
[2] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia
关键词
HOLONOMY GROUPS; SPACES; CLASSIFICATION; CONSTANT;
D O I
10.1088/0264-9381/27/22/225003
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study transformations of coordinates on a Lorentzian Einstein manifold with a parallel distribution of null lines and show that the general Walker coordinates can be simplified. In these coordinates, the full Lorentzian Einstein equation is reduced to equations on a family of Einstein Riemannian metrics. Dedicated to Dmitri Vladimirovich Alekseevsky on his 70th birthday.
引用
收藏
页数:16
相关论文
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