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
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author Schinnerl, Benedict
Steinbauer, Roland
author_facet Schinnerl, Benedict
Steinbauer, Roland
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description 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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spelling pubmed-86022362021-12-03 A note on the Gannon–Lee theorem Schinnerl, Benedict Steinbauer, Roland Lett Math Phys Article 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. Springer Netherlands 2021-11-18 2021 /pmc/articles/PMC8602236/ /pubmed/34866766 http://dx.doi.org/10.1007/s11005-021-01481-3 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Schinnerl, Benedict
Steinbauer, Roland
A note on the Gannon–Lee theorem
title A note on the Gannon–Lee theorem
title_full A note on the Gannon–Lee theorem
title_fullStr A note on the Gannon–Lee theorem
title_full_unstemmed A note on the Gannon–Lee theorem
title_short A note on the Gannon–Lee theorem
title_sort note on the gannon–lee theorem
topic Article
url 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
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