Time-like periodic trajectories in stationary Lorentz manifolds

DOI10.1016/0362-546X(92)90019-BzbMath0769.58007MaRDI QIDQ4032198

Antonio Masiello

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

variational principlegeodesicscritical pointLorentzian manifoldsKerr space-timeLjusternik-Schnirelmann min-max theorytimelike periodic trajectories

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30)

Related Items (12)

Stationary Lorentz manifolds and vector fields: existence of periodic trajectories ⋮ Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds ⋮ Geodesics in stationary spacetimes and classical Lagrangian systems ⋮ On the existence of a timelike trajectory for a Lorentzian metric ⋮ Critical point theory and global lorentzian geometry ⋮ Lorentzian manifolds admitting a killing vector field ⋮ Periodic trajectories in lorentzian manifolds ⋮ Periodic trajectories on stationary Lorentzian manifolds ⋮ The orbital Lense-Thirring precession in a strong field ⋮ CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS ⋮ Multiple critical points for indefinite functionals and applications ⋮ Geodesics in static spacetimes and t-periodic trajectories

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
• Periodic trajectories in static space-times
• The Large Scale Structure of Space-Time
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Time-like periodic trajectories in stationary Lorentz manifolds