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arXiv · 1804.10423

Inextendibility of spacetimes and Lorentzian length spaces

James D. E. Grant·Michael Kunzinger·Clemens Sämann
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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 [KS:17]. 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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James D. E. Grant, Michael Kunzinger, Clemens Sämann. 2018-04-27. Inextendibility of spacetimes and Lorentzian length spaces. https://doi.org/10.1007/s10455-018-9637-x

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