LINES IN SPACE-TIMES

被引:27
作者
ESCHENBURG, JH [1 ]
GALLOWAY, GJ [1 ]
机构
[1] DEPT MATH & COMP SCI,CORAL GABLES,FL 33124
关键词
D O I
10.1007/BF02102373
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We construct a complete timelike maximal geodesic ("line") in a timelike geodesically complete spacetime M containing a compact acausal spacelike hypersurface S which lies in the past of some S-ray. An S-ray is a future complete geodesic starting on S which maximizes Lorentzian distance from S to any of its points. If the timelike convergence condition (strong energy condition) holds, a line exists only if M is static, i.e. it splits geometrically as space x time. So timelike completeness must fail for a nonstatic spacetime with strong energy condition which contains a "closed universe" S with the above properties.
引用
收藏
页码:209 / 216
页数:8
相关论文
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