Lines in space-times

DOI10.1007/BF02102373zbMath0756.53028OpenAlexW1987267454MaRDI QIDQ1200509

Gregory J. Galloway, Jost-Hinrich Eschenburg

Publication date: 16 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02102373

zbMATH Keywords

Lorentz manifoldspace-timesraylinesLorentzian distancetimelike geodesic(Lorentzian) lengthcompact, spacelike hypersurfacegeodetically complete

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Cites Work

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• A proof of the splitting conjecture of S.-T. Yau
• Splitting theorems for spatially closed space-times
• The splitting theorem for space-times with strong energy condition
• Remarks on cosmological spacetimes and constant mean curvature surfaces
• Timelike lines
• Curvature, causality and completeness in space-times with causally complete spacelike slices
• The Large Scale Structure of Space-Time