Periodic trajectories in Gödel type space-times

DOI10.1016/S0362-546X(01)00846-XzbMath1017.58008MaRDI QIDQ698863

Miguel Sánchez, Addolorata Salvatore, Anna Maria Candela

Publication date: 30 September 2002

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

zbMATH Keywords

geodesicscritical pointsLorentzian manifoldsGödel spacetimes

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (1)

Periodic solutions for dynamical systems on non-complete Riemannian manifolds

Cites Work

• On the existence of multiple geodesics in static space-times
• The imbedding problem for Riemannian manifolds
• Multiple critical points for indefinite functionals and applications
• On the existence of infinitely many geodesics on space-time manifolds
• Geodesic connectedness in Gödel type space-times
• On the geodesical connectedness for a class of semi-Riemannian manifolds
• Lusternik-Schnirelman theory on Banach manifolds
• Morse theory on Hilbert manifolds
• Category of loop spaces of open subsets in euclidean space
• General Relativity for Mathematicians
• Timelike periodic trajectories in spatially compact Lorentz manifolds
• Gödel-type space–times in induced matter gravity theory
• Closed geodesics in Riemannian manifolds with convex boundary
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
• Periodic trajectories on stationary Lorentzian manifolds
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