Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field

被引：6
|
作者：
Bartolo, Rossella [1 ]
Candela, Anna Maria [2 ]
Luis Flores, Jose [3 ]
机构：
[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Via E Orabona 4, I-70125 Bari, Italy
[2] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy
[3] Univ Malaga, Fac Ciencias, Dept Algebra Geometria & Topol, Campus Teatinos, E-29071 Malaga, Spain
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2017年 / 33卷 / 01期
关键词：
STATIONARY; CONNECTEDNESS; CAUSALITY; EXISTENCE;
D O I：
10.4171/RMI/926
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Taking a globally hyperbolic spacetime endowed with a complete lightlike Killing vector field and a complete Cauchy hypersurface, we characterize the points which can be connected by geodesics. A straightforward consequence is the geodesic connectedness of globally hyperbolic generalized plane waves with a complete Cauchy hypersurface.
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页码：1 / 28
页数：28
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