Periodic trajectories in lorentzian manifolds

DOI10.1016/S0362-546X(97)00039-4zbMath0895.53040MaRDI QIDQ4378497

Anna Maria Candela

Publication date: 24 September 1998

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

zbMATH Keywords

relative categoryFermat principlestationary Lorentzian manifoldtimelike trajectoryexistence and multiplicity of light rays with closed spatial parttime-dependent Lorentzian manifold

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Lightlike periodic trajectories in space-times
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• Periodic trajectories for a class of Lorentz-metrics of a time-dependent gravitational field
• Periodic trajectories in static space-times
• Category of loop spaces of open subsets in euclidean space
• Time-like periodic trajectories in stationary Lorentz manifolds
• On the existence of a timelike trajectory for a Lorentzian metric
• Relative category, products and coproducts
• Domain of Dependence
• The Large Scale Structure of Space-Time

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