Journal article
Timelike completeness as an obstruction to C 0-extensions
- Abstract:
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 506.8KB, Terms of use)
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- Publisher copy:
- 10.1007/s00220-017-3019-2
Authors
- Publisher:
- Springer
- Journal:
- Communications in Mathematical Physics More from this journal
- Publication date:
- 2017-11-01
- Acceptance date:
- 2017-09-12
- DOI:
- ISSN:
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1432-0916 and 0010-3616
- Keywords:
- Pubs id:
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pubs:819444
- UUID:
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uuid:387a722a-93bf-4764-8fac-7c14e79bce5c
- Local pid:
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pubs:819444
- Source identifiers:
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819444
- Deposit date:
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2018-04-04
Terms of use
- Copyright holder:
- Sbierski et al
- Copyright date:
- 2017
- Notes:
- © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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