Geodesics with prescribed energy on static Lorentzian manifolds with convex boundary

DOI10.1016/S0393-0440(99)00034-0zbMath0953.58011WikidataQ126816414 ScholiaQ126816414MaRDI QIDQ1970238

Rossella Bartolo, Anna Valeria Germinario

Publication date: 22 January 2001

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

zbMATH Keywords

variational principlesgeodesicsstatic Lorentzian manifolds

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)

Related Items

A note on the boundary of a static Lorentzian manifold.

Cites Work

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• On the existence of multiple geodesics in static space-times
• The imbedding problem for Riemannian manifolds
• Analytical mini-max methods for Hamiltonian brake orbits of prescribed energy
• A Fermat principle for stationary space-times and applications to light rays
• A variational theory for light rays in stably causal Lorentzian manifolds: regularity and multiplicity results
• A timelike extension of Fermat's principle in general relativity and applications
• Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary
• Category of loop spaces of open subsets in euclidean space
• Geodesics in static spacetimes and t-periodic trajectories