Geodesics in stationary spacetimes and classical Lagrangian systems

DOI10.1016/j.jde.2006.09.009zbMath1106.58008OpenAlexW2063341803MaRDI QIDQ859525

Anna Valeria Germinario

Publication date: 16 January 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.09.009

zbMATH Keywords

geodesicsLorentz forceperiodic trajectoriesLorentz metricsLagrangian systemsstationary spacetimes

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) 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 (3)

On the energy functional on Finsler manifolds and applications to stationary spacetimes ⋮ Spectral asymptotics on stationary space-times ⋮ CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS

Cites Work

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• Lightlike periodic trajectories in space-times
• On the existence of multiple geodesics in static space-times
• Periodic solutions of Lagrangian systems on a compact manifold
• 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
• A note on the boundary of a static Lorentzian manifold.
• On the existence of infinitely many trajectories for a class of static Lorentzian manifolds like Schwarzschild and Reissner-Nordström space-times
• Lusternik-Schnirelman theory on Banach manifolds
• Periodic trajectories in static space-times
• Category of loop spaces of open subsets in euclidean space
• Time-like periodic trajectories in stationary Lorentz manifolds
• Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems
• Geodesics in static spacetimes and t-periodic trajectories
• Timelike periodic trajectories in spatially compact Lorentz manifolds
• Periodic trajectories on stationary Lorentzian manifolds

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