Journal title
Communications in Mathematical Physics
DOI
10.1007/s00220-017-3019-2
Last updated
2021-10-25T05:37:31.843+01:00
Page
1-13
Abstract
© 2017 The Author(s) 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 Sämann (Ann Henri Poincaré 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.
Symplectic ID
819444
Submitted to ORA
On
Publication type
Journal Article
Publication date
5 November 2017