A synthetic Gannon-Lee incompleteness theorem

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Mathias Braun, Carlo Rotolo
DOI: 10.48550/arxiv.2602.14246
Cited by: 0

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.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Relativity and Gravitational Theory Advanced Differential Geometry Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
15 February 2026
Language
EN
Document type
Preprint