Multiple periodic trajectories on stationary space-times

DOI10.1007/BF01760014zbMath0777.53066MaRDI QIDQ1210166

Carlo Greco

Publication date: 16 May 1993

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

asymptotically flattimelike geodesics

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (7)

Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds ⋮ The Dirichlet-problem for harmonic maps from the disk into a Lorentzian warped product ⋮ On the existence of a timelike trajectory for a Lorentzian metric ⋮ Periodic trajectories in lorentzian manifolds ⋮ Periodic trajectories on stationary Lorentzian manifolds ⋮ Regularity of harmonic maps into a static Lorentzian manifold ⋮ Multiple critical points for indefinite functionals and applications

Cites Work

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• On the existence of multiple geodesics in static space-times
• Existence of geodesics for the Lorentz metric of a stationary gravitational field
• Periodic solutions of Hamiltonian systems with superquadratic potential
• Critical point theory and Hamiltonian systems
• A Morse theory for geodesics on a Lorentz manifold
• On the existence of infinitely many geodesics on space-time manifolds
• Periodic trajectories for a class of Lorentz-metrics of a time-dependent gravitational field
• Periodic trajectories in static space-times
• A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries

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