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arXiv · 2603.20802

Curvature bounds, regularity and inextendibility of spacetimes

Tobias Beran·John Harvey·Clemens Sämann
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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.

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Tobias Beran, John Harvey, Clemens Sämann. 2026-03-21. Curvature bounds, regularity and inextendibility of spacetimes. https://arxiv.org/abs/2603.20802

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