期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 359, 期 3, 页码 937-949出版社
SPRINGER
DOI: 10.1007/s00220-017-3019-2
关键词
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资金
- Magdalene College, Cambridge
The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question whether a given solution to the Einstein equations can be extended (or is maximal) as a weak solution. In this paper we show that a timelike complete and globally hyperbolic Lorentzian manifold is C (0)-inextendible. For the proof we make use of the result, recently established by Samann (Ann Henri Poincar, 17(6):1429-1455, 2016), that even for continuous Lorentzian manifolds that are globally hyperbolic, there exists a length-maximizing causal curve between any two causally related points.
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