On the existence of a timelike trajectory for a Lorentzian metric

DOI10.1017/S0308210500030365zbMath0842.53046MaRDI QIDQ4857083

Antonio Masiello

Publication date: 28 July 1996

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

zbMATH Keywords

Lorentzian manifoldsclosed timelike curvesexistence of periodic geodesics

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (4)

Lorentzian manifolds admitting a killing vector field ⋮ Periodic trajectories in lorentzian manifolds ⋮ Multiple critical points for indefinite functionals and applications ⋮ Geodesics in static spacetimes and t-periodic trajectories

Cites Work

• Multiple periodic trajectories on stationary space-times
• Periodic trajectories for a class of Lorentz-metrics of a time-dependent gravitational field
• Periodic trajectories in static space-times
• Time-like periodic trajectories in stationary Lorentz manifolds

This page was built for publication: On the existence of a timelike trajectory for a Lorentzian metric