On the existence of closed timelike geodesics in compact spacetimes

DOI10.1007/S002090100295zbMath1006.53059OpenAlexW1999390066MaRDI QIDQ1601766

Mohammed Guediri

Publication date: 27 June 2002

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002090100295

zbMATH Keywords

closed timelike curvesCauchy surfacecompact spacetime

Mathematics Subject Classification ID

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 (12)

Compact flat spacetimes ⋮ A new class of compact spacetimes without closed causal geodesics ⋮ Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field ⋮ On the global hyperbolicity of Lorentz 2-step nilpotent Lie groups ⋮ A criterion for global hyperbolicity of left-invariant Lorentz metrics on Lie groups ⋮ Closed geodesics in Lorentzian surfaces ⋮ Lorentzian causality theory ⋮ On causality and closed geodesics of compact Lorentzian manifolds and static spacetimes ⋮ Symplectic 4-manifolds via Lorentzian geometry ⋮ Lorentzian covering space and homotopy classes ⋮ Closed timelike geodesics in compact spacetimes ⋮ On the nonexistence of closed timelike geodesics in flat Lorentz 2-step nilmanifolds

This page was built for publication: On the existence of closed timelike geodesics in compact spacetimes