Some results on lightlike geodesics on stationary lorentzian manifolds

DOI10.1016/0362-546X(94)90122-8zbMath0807.53056OpenAlexW1967095265MaRDI QIDQ4306603

Fabio Giannoni, Donato Fortunato, Antonio Masiello

Publication date: 19 September 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90122-8

zbMATH Keywords

variational principleFermat principlelightlike geodesicsLorentzian product manifold

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• A Morse index for geodesics in static Lorentz manifolds
• On the existence of geodesics on stationary Lorentz manifolds with convex boundary
• A Morse theory for geodesics on a Lorentz manifold
• On the Morse inequalities for geodesics on Lorentzian manifolds
• Essais de géométrie riemannienne hyperbolique globale. Applications à la relativité générale
• Category of loop spaces of open subsets in euclidean space
• The Large Scale Structure of Space-Time

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