Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field

DOI10.4171/RMI/926zbMath1370.53048arXiv1405.0804OpenAlexW2964298717MaRDI QIDQ520706

Anna Maria Candela, Rossella Bartolo, José Luis Flores

Publication date: 5 April 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0804

zbMATH Keywords

Killing vector fieldgravitational wavestationary spacetimeCauchy hypersurfaceglobal hyperbolicitygeneralized plane wavegeodesic connectednesslight-like vector field

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 (6)

Convex functions and geodesic connectedness of space-times ⋮ Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system ⋮ Lorentzian manifolds with causal Killing vector field: causality and geodesic connectedness ⋮ Trajectories of affine control systems and geodesics of a spacetime with a causal Killing vector field ⋮ Connecting and closed geodesics of a Kropina metric ⋮ On the splitting problem for Lorentzian manifolds with an \({\mathbb {R}}\)-action with causal orbits

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