Journal
LETTERS IN MATHEMATICAL PHYSICS
Volume 111, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/s11005-021-01481-3
Keywords
Lorentzian geometry; Singularity theorems; Low regularity; Geodesics; Causality; Branching
Categories
Funding
- FWF [P28770, P33594]
- Uni:Docs program of the University of Vienna
- Austrian Science Fund (FWF) [P33594] Funding Source: Austrian Science Fund (FWF)
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In this study, we establish the Gannon-Lee theorem for non-globally hyperbolic Lorentzian metrics of C-1 regularity, the most general regularity class available in the classical singularity theorems. Additionally, we demonstrate that any maximizing causal curve in a C-1 spacetime is a geodesic and thus has C-2 regularity.
We prove a Gannon-Lee theorem for non-globally hyperbolic Lorentzian metrics of regularity C-1, 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 C-1-spacetime is a geodesic and hence of C-2-regularity.
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