Lightlike rays in stationary spacetimes with critical growth

DOI10.1016/J.NA.2007.05.019zbMath1144.53086OpenAlexW2052012186MaRDI QIDQ929659

Valeria Luisi

Publication date: 18 June 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.05.019

zbMATH Keywords

asymptotic behaviorLjusternik-Schnirelman categoryFermat principlestationary Lorentzian manifoldlight-like geodesic

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Cites Work

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• 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
• Light rays joining two submanifolds in space-times
• Normal geodesics in stationary Lorentzian manifolds with unbounded coefficients
• Geodesic connectedness of stationary spacetimes with optimal growth
• Morse theory on Hilbert manifolds
• Category of loop spaces of open subsets in euclidean space
• Geodesics in Static Lorentzian Manifolds with Critical Quadratic Behavior

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