Shortening null geodesics in Lorentzian manifolds. Applications to closed light rays

DOI10.1016/S0926-2245(97)00020-XzbMath0901.58010WikidataQ115337532 ScholiaQ115337532MaRDI QIDQ1385071

Paolo Piccione, Antonio Masiello

Publication date: 29 July 1998

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

zbMATH Keywords

convex setsSchwarzschild spacetimelight raysLorentzian manifolds

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Exact solutions to problems in general relativity and gravitational theory (83C15) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items

Convex regions of stationary spacetimes and Randers spaces. Applications to lensing and asymptotic flatness, Unnamed Item, Lorentzian manifolds admitting a killing vector field, A general-relativistic Fermat principle for extended light sources and extended receivers, Light rays having extreme points with the same spatial coordinates

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lightlike periodic trajectories in space-times
• The imbedding problem for Riemannian manifolds
• On the existence of geodesics on stationary Lorentz manifolds with convex boundary
• A Morse theory for geodesics on a Lorentz manifold
• Closed geodesics on non-compact Riemannian manifolds
• A variational theory for light rays in stably causal Lorentzian manifolds: regularity and multiplicity results
• A Fermat principle on Lorentzian manifolds and applications
• Homotopy theory of infinite dimensional manifolds
• On Fermat's principle in general relativity. I. The general case
• The brachistochrone problem in a stationary space-time
• Domain of Dependence
• On the existence of light-like geodesics on conformally stationary Lorentzian manifolds