A Note on the Gannon-Lee Theorem
Mathematical Physics
2021-12-01 v3 General Relativity and Quantum Cosmology
Differential Geometry
math.MP
Abstract
We prove a Gannon-Lee theorem for non-globally hyperbolic Lo\-rentzian metrics of regularity , the most general regularity class currently available in the context of the classical singularity theorems. Along the way we also prove that any maximizing causal curve in a -spacetime is a geodesic and hence of -regularity.
Cite
@article{arxiv.2101.04007,
title = {A Note on the Gannon-Lee Theorem},
author = {Benedict Schinnerl and Roland Steinbauer},
journal= {arXiv preprint arXiv:2101.04007},
year = {2021}
}
Comments
Final published version