Periodic trajectories on stationary Lorentzian manifolds

DOI10.1016/S0362-546X(99)00246-1zbMath0980.58006OpenAlexW2127786990WikidataQ125815846 ScholiaQ125815846MaRDI QIDQ5930173

Rossella Bartolo

Publication date: 27 February 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00246-1

zbMATH Keywords

Morse indexLorentzian manifoldgeodesicKerr spacetime

Mathematics Subject Classification ID

Analysis on supermanifolds or graded manifolds (58C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items

Geodesics in stationary spacetimes and classical Lagrangian systems ⋮ A Gutzwiller trace formula for stationary space-times ⋮ Periodic trajectories in Gödel type space-times ⋮ The light ray transform in stationary and static Lorentzian geometries ⋮ A Gutzwiller trace formula for Dirac operators on a stationary spacetime

Cites Work

• On the existence of multiple geodesics in static space-times
• The imbedding problem for Riemannian manifolds
• On the existence of geodesics on stationary Lorentz manifolds with convex boundary
• Multiple periodic trajectories on stationary space-times
• On the existence of closed geodesics on noncompact Riemannian manifolds
• The homology theory of the closed geodesic problem
• On the existence of infinitely many trajectories for a class of static Lorentzian manifolds like Schwarzschild and Reissner-Nordström space-times
• Homotopy theory of infinite dimensional manifolds
• Morse theory on Hilbert manifolds
• Periodic trajectories in static space-times
• Time-like periodic trajectories in stationary Lorentz manifolds
• The Large Scale Structure of Space-Time
• Unnamed Item
• Unnamed Item
• Unnamed Item