Connectivity by geodesics in open subsets of globally hyperbolic spacetimes

DOI10.1142/S0219887815600099zbMath1342.53061OpenAlexW1963578184MaRDI QIDQ3465825

Rossella Bartolo, José Luis Flores, Anna Maria Candela

Publication date: 22 January 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887815600099

zbMATH Keywords

Killing vector fieldCauchy surfacestationary spacetimeglobal hyperbolicitygeneralized plane wavegeodesic connectedness

Mathematics Subject Classification ID

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

Cites Work

• Convex domains of Finsler and Riemannian manifolds
• On the existence of multiple geodesics in static space-times
• An intrinsic approach to the geodesical connectedness of stationary Lorentzian manifolds
• Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
• Timelike isometries and Killing fields
• On the existence of geodesics on stationary Lorentz manifolds with convex boundary
• A Fermat principle for stationary space-times and applications to light rays
• A note on the boundary of a static Lorentzian manifold.
• Structure of second-order symmetric Lorentzian manifolds
• Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes
• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS
• Existence of geodesics in static Lorentzian manifolds with convex boundary

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