Lines in space-times
type: Item
instance of: scholarly article
title: Lines in space-times
zbMATH Open document ID: 0756.53028
DOI: 10.1007/BF02102373
author: J.-H. Eschenburg
author: Gregory J. Galloway
published in: Communications in Mathematical Physics
publication date: 1993-01-16T00:00:00Z
review text: let \((M,g)\) be a geodesically complete, time oriented Lorentz manifold and \(S\subset M\) be a compact, spacelike hypersurface without boundary. The authors show that there exists a complete, timelike geodesic that maximizes (Lorentzian) length between any two of its points, provided there exists a future complete, timelike geodesic starting at \(S\) that maximizes length between any of its points and \(S\).
reviewed by: Marcus Kriele
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 83C75
zbMATH DE Number: 95428
zbMATH Keywords: lines
zbMATH Keywords: space-times
zbMATH Keywords: ray
zbMATH Keywords: Lorentzian distance
zbMATH Keywords: geodetically complete
zbMATH Keywords: Lorentz manifold
zbMATH Keywords: compact, spacelike hypersurface
zbMATH Keywords: timelike geodesic
zbMATH Keywords: (Lorentzian) length
MaRDI profile type: Publication
cites work: Remarks on cosmological spacetimes and constant mean curvature surfaces
cites work: Q3913406
cites work: Timelike lines
cites work: The splitting theorem for space-times with strong energy condition
cites work: Splitting theorems for spatially closed space-times
cites work: Curvature, causality and completeness in space-times with causally complete spacelike slices
cites work: The Large Scale Structure of Space-Time
cites work: A proof of the splitting conjecture of S.-T. Yau
full work available at URL: https://doi.org/10.1007/bf02102373
OpenAlex ID: W1987267454
description: scientific article; zbMATH DE number 95428