Causal properties of Lorentzian manifolds and regular coverings

DOI10.1134/S1995080224601930MaRDI QIDQ6656825

E. I. Yakovlev, D. A. Maksimov

Publication date: 3 January 2025

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

coveringcausalityglobal hyperbolicitychronology condition

Mathematics Subject Classification ID

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

Cites Work

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• A Morse theory for geodesics on a Lorentz manifold
• Two-point boundary value problems in relativistic dynamics
• Causal properties of Kaluza-Klein metrics.
• Causal properties of fibered space-time
• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
• The existence of cosmic time functions
• Domain of Dependence
• The Large Scale Structure of Space-Time

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