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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 h...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1007/s00220-017-3019-2

Authors


Galloway, GJ More by this author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Magdalen College
ORCID:
0000-0002-6509-1164
Magdalene College, Cambridge More from this funder
Publisher:
Springer Publisher's website
Journal:
Communications in Mathematical Physics Journal website
Publication date:
2017-11-05
Acceptance date:
2017-09-12
DOI:
ISSN:
1432-0916 and 0010-3616
Pubs id:
pubs:819444
URN:
uri:387a722a-93bf-4764-8fac-7c14e79bce5c
UUID:
uuid:387a722a-93bf-4764-8fac-7c14e79bce5c
Local pid:
pubs:819444

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