On causality and closed geodesics of compact Lorentzian manifolds and static spacetimes

DOI10.1016/j.difgeo.2005.06.008zbMath1111.53055arXivmath/0502322OpenAlexW2171584764WikidataQ115357934 ScholiaQ115357934MaRDI QIDQ2491898

Miguel Sánchez

Publication date: 29 May 2006

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502322

zbMATH Keywords

causalityclosed geodesicLorentzian manifoldsgeodesic connectednesstotally viciousstatic and stationary spacetimestime-like geodesic

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) 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 (15)

Spacelike hypersurfaces immersed in weighted standard static spacetimes: uniqueness, nonexistence and stability ⋮ Characterizing Killing vector fields of standard static space-times ⋮ Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field ⋮ Lorentzian manifolds with causal Killing vector field: causality and geodesic connectedness ⋮ Iteration of closed geodesics in stationary Lorentzian manifolds ⋮ Closed geodesics in Lorentzian surfaces ⋮ Particles with spin in stationary flat spacetimes ⋮ Lorentzian causality theory ⋮ Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes ⋮ Connecting solutions of the Lorentz force equation do exist ⋮ Normal geodesics in static spacetimes with critical asymptotic behavior ⋮ On the geometry of static spacetimes ⋮ Unnamed Item ⋮ Symplectic 4-manifolds via Lorentzian geometry ⋮ Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary

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