Inextendibility of spacetimes and Lorentzian length spaces

Understand

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.