Curvature bounds, regularity and inextendibility of spacetimes
arXiv:2603.20802
Abstract
We provide a completely new relation between curvature bounds and definiteness of the causal character of maximizers by exploiting the robust notion of synthetic curvature. This enables us to relate low-regularity inextendibility of spacetimes to unboundedness of curvature - which is at present unattainable using classical methods - thereby strengthening and complementing the results of Grant-Kunzinger-Saemann (2019) significantly.
16 pages, 2 figures; v2: minor improvements, to appear in Class. Quantum Grav