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arXiv · 2602.14246

A synthetic Gannon-Lee incompleteness theorem

Mathias Braun·Carlo Rotolo
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Abstract

We prove the Gannon-Lee incompleteness theorem for globally hyperbolic spacetimes. We assume the synthetic null energy condition of Ketterer and a trappedness condition we call "synthetically asymptotically regular". Our result generalizes this classical result to the weighted case. It also motivates and indicates extensions to low regularity, which are deferred to future work.

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Mathias Braun, Carlo Rotolo. 2026-02-15. A synthetic Gannon-Lee incompleteness theorem. https://arxiv.org/abs/2602.14246

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