A note on the Gannon–Lee theorem

We prove a Gannon–Lee theorem for non-globally hyperbolic Lorentzian metrics of regularity [Formula: see text] , 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 [Formula: se...

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Detalles Bibliográficos
Autores principales: Schinnerl, Benedict, Steinbauer, Roland
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8602236/
https://www.ncbi.nlm.nih.gov/pubmed/34866766
http://dx.doi.org/10.1007/s11005-021-01481-3
Descripción
Sumario:We prove a Gannon–Lee theorem for non-globally hyperbolic Lorentzian metrics of regularity [Formula: see text] , 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 [Formula: see text] -spacetime is a geodesic and hence of [Formula: see text] -regularity.

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