Literature DB >> 34866766

A note on the Gannon-Lee theorem.

Benedict Schinnerl1, Roland Steinbauer1.   

Abstract

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.
© The Author(s) 2021.

Entities:  

Keywords:  Branching; Causality; Geodesics; Lorentzian geometry; Low regularity; Singularity theorems

Year:  2021        PMID： 34866766      PMCID： PMC8602236          DOI： 10.1007/s11005-021-01481-3

Source DB:  PubMed          Journal:  Lett Math Phys        ISSN： 0377-9017            Impact factor:   1.550


  6 in total

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