Causal properties of fibered space-time

DOI10.1134/S0001434619070137zbMath1434.83017OpenAlexW2971292334MaRDI QIDQ2282842

T. A. Gonchar, Evgeniy Ivanovich Yakovlev

Publication date: 20 December 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619070137

zbMATH Keywords

spacetimeLorentzian manifoldprincipal bundle\(G\)-connectioncausality conditionfibered spacetime

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Cites Work

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• Principal fibre bundles with the 1-dimensional toroidal group
• Two-point boundary value problems in relativistic dynamics
• Geometry and topology of some fibered Riemannian manifolds
• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• Functions with (non)timelike gradient on a space-time
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Globally Hyperbolic Lorentzian Manifolds with Special Holonomy Groups
• The existence of cosmic time functions
• Domain of Dependence
• The Large Scale Structure of Space-Time

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