Compact space-times and the no-return theorem
type: Item
instance of: scholarly article
title: Compact space-times and the no-return theorem
zbMATH Open document ID: 0601.53054
DOI: 10.1007/BF00763542
author: Richard P. A. C. Newman
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: The no-return theorem of \textit{F. J. Tipler} [Essays in general relativity (Academic Press 1980; Zbl 0443.00020), pp. 21-37] is used to prove the following theorem: Let (M,g) be a non-spacelike convergent, generic space-time, with M compact. Then M admits no closed embedded edgeless spacelike hypersurface. This is taken as a reason for the dismissal of compact space-times as satisfactory models of the universe.
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83F05
zbMATH DE Number: 3969593
zbMATH Keywords: no-return theorem
zbMATH Keywords: non-spacelike convergent
zbMATH Keywords: generic space-time
zbMATH Keywords: spacelike hypersurface
zbMATH Keywords: compact space-times
reviewed by: Bernd Wegner
MaRDI profile type: Publication
cites work: The Large Scale Structure of Space-Time
cites work: Topology in General Relativity
full work available at URL: https://doi.org/10.1007/bf00763542
OpenAlex ID: W1965763930
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description: scientific article; zbMATH DE number 3969593