Journal
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Volume 55, Issue 1, Pages 133-147Publisher
SPRINGER
DOI: 10.1007/s10455-018-9637-x
Keywords
Length spaces; Lorentzian length spaces; Causality theory; Synthetic curvature bounds; Triangle comparison; Metric geometry; Inextendibility
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Funding
- Austrian Science Fund (FWF) [P26859, P28770]
- STFC Consolidated Grant [ST/L000490/1]
- Austrian Science Fund (FWF) [P26859] Funding Source: Austrian Science Fund (FWF)
- STFC [ST/L000490/1] Funding Source: UKRI
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We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framework of Lorentzian length spaces developed in Kunzinger and Samann (Ann Glob Anal Geom 54(3):399-447, 2018). 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.
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