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.

引用

页码：1 / 28

页数：28

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