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Inextendibility of spacetimes and Lorentzian length spaces

Grant, James, Kunzinger, Michael and Samann, Clemens (2018) Inextendibility of spacetimes and Lorentzian length spaces Annals of Global Analysis and Geometry, 55 (1). pp. 133-147.

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Abstract

We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framework of Lorentzian length spaces developed in [KS17]. To this end, we introduce appropriate notions of geodesics and timelike geodesic completeness and prove a general inextendibility result. Our results shed new light on recent analytic work in this direction and, for the first time, relate low-regularity inextendibility to (synthetic) curvature blow-up.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Grant, Jamesj.grant@surrey.ac.uk
Kunzinger, Michael
Samann, Clemens
Date : 10 November 2018
Funders : Science and Technology Facilities Council (STFC)
DOI : 10.1007/s10455-018-9637-x
Copyright Disclaimer : © The Author(s) 2018. 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.
Uncontrolled Keywords : Length spaces; Lorentzian length spaces; Causality theory; Synthetic curvature bounds; Triangle comparison; Metric geometry; Inextendibility
Depositing User : Melanie Hughes
Date Deposited : 07 Nov 2018 10:21
Last Modified : 02 Sep 2019 09:27
URI: http://epubs.surrey.ac.uk/id/eprint/849828

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