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Inextendibility of spacetimes and Lorentzian length spaces.

Authors:
James D E Grant Michael Kunzinger Clemens Sämann

Ann Glob Anal Geom (Dordr) 2019 10;55(1):133-147. Epub 2018 Nov 10.

2Faculty of Mathematics, University of Vienna, Vienna, Austria.

We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framework of Lorentzian length spaces developed in Kunzinger and Sämann (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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http://dx.doi.org/10.1007/s10455-018-9637-xDOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6397613PMC
November 2018

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