On the existence of light-like geodesics on conformally stationary Lorentzian manifolds

DOI10.1016/0362-546X(95)00178-XzbMath0868.53029OpenAlexW1980620085MaRDI QIDQ5689164

Paolo Piccione

Publication date: 19 August 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00178-x

zbMATH Keywords

Fermat principlelightlike geodesicsconformally stationary Lorentzian manifolds

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

Shortening null geodesics in Lorentzian manifolds. Applications to closed light rays, On the energy functional on Finsler manifolds and applications to stationary spacetimes, On the finiteness of light rays between a source and an observer on conformally stationary space-times, Light rays having extreme points with the same spatial coordinates, An intrinsic Fermat principle on stationary Lorentzian manifolds and applications.

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