Light rays joining two submanifolds in space-times

DOI10.1016/S0393-0440(96)00034-4zbMath0880.58005MaRDI QIDQ1360577

Addolorata Salvatore, Anna Maria Candela

Publication date: 12 February 1998

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

variational methodsgeneral relativitylight raysLyusternik-Schnirelman category

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) General relativity (83C99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (7)

Lightlike rays in stationary spacetimes with critical growth ⋮ Normal Geodesics Connecting two Non-necessarily Spacelike Submanifolds in a Stationary Spacetime ⋮ Existence and multiplicity of normal geodesics in Lorentzian manifolds ⋮ Normal geodesics in static spacetimes with critical asymptotic behavior ⋮ Contact topology and hydrodynamics III: knotted orbits ⋮ Geodesics in static spacetimes and t-periodic trajectories ⋮ Normal geodesics in stationary Lorentzian manifolds with unbounded coefficients

Cites Work

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• Lightlike periodic trajectories in space-times
• On p-convex sets and geodesics
• On the existence of geodesics on stationary Lorentz manifolds with convex boundary
• On the existence of infinitely many geodesics on space-time manifolds
• A Fermat principle for stationary space-times and applications to light rays
• Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
• Trajectories of dynamical systems joining two given submanifolds
• Category of loop spaces of open subsets in euclidean space
• The Large Scale Structure of Space-Time
• Riemannian geometry

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