scientific article; zbMATH DE number 1239965

zbMath0920.58019MaRDI QIDQ4225677

Fabio Giannoni, Antonio Masiello, Paolo Piccione

Publication date: 10 September 1999

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1998__69_4_359_0

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zbMATH Keywords

Morse theorylight raysLorentzian manifoldsgravitational lensesFermat principle

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) General relativity (83C99) 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 (16)

Geodesics in stationary spacetimes and classical Lagrangian systems ⋮ Shortening null geodesics in Lorentzian manifolds. Applications to closed light rays ⋮ Mathematics of gravitational lensing: Multiple imaging and magnification ⋮ On a morse theory for light rays without nondegeneracy assumptions ⋮ A timelike extension of fermat's principle in general relativity. Comparisons with the lightlike case ⋮ Fermats principle, Morse theory and applications to the gravitational lens effect ⋮ A variational theory for light rays in convex subsets of stably causal lorentzian manifolds ⋮ Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric ⋮ On the finiteness of light rays between a source and an observer on conformally stationary space-times ⋮ Gravitational lensing from a spacetime perspective ⋮ Genericity of nondegeneracy for light rays in stationary spacetimes ⋮ A general-relativistic Fermat principle for extended light sources and extended receivers ⋮ A Morse theory for massive particles and photons in general relativity ⋮ Light rays having extreme points with the same spatial coordinates ⋮ A note on the boundary of a static Lorentzian manifold. ⋮ An intrinsic Fermat principle on stationary Lorentzian manifolds and applications.

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