Periodic trajectories in static space-times

DOI10.1017/S0308210500023982zbMath0691.53052OpenAlexW2330762460MaRDI QIDQ3032962

Carlo Greco

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500023982

zbMATH Keywords

geodesicstatic space-timeproduct space-timeT-periodic trajectory

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (12)

Geodesic structure of standard static space--times. ⋮ Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds ⋮ Geodesics in stationary spacetimes and classical Lagrangian systems ⋮ Time-like periodic trajectories in stationary Lorentz manifolds ⋮ On the existence of a timelike trajectory for a Lorentzian metric ⋮ Lorentzian manifolds admitting a killing vector field ⋮ Periodic trajectories in lorentzian manifolds ⋮ Periodic trajectories on stationary Lorentzian manifolds ⋮ Multiple periodic trajectories on stationary space-times ⋮ On the existence of multiple geodesics in static space-times ⋮ Multiple critical points for indefinite functionals and applications ⋮ Geodesics in static spacetimes and t-periodic trajectories

Cites Work

• On periodicity problems in the calculus of variations in the large

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