A finite dimensional approach to light rays in general relativity

DOI10.1016/j.na.2017.11.014zbMath1383.58008OpenAlexW2781233588WikidataQ111288225 ScholiaQ111288225MaRDI QIDQ681981

Fabio Giannoni, Roberto Giambò, Paolo Piccione

Publication date: 13 February 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11581/404645

zbMATH Keywords

Morse indexrelativistic Fermat principle

Mathematics Subject Classification ID

Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Cites Work

• Functions on the sphere with critical points in pairs and orthogonal geodesic chords
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• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• A focal index theorem for null geodesics
• Stability of caustics
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• Gravitational lensing from a spacetime perspective
• A general-relativistic Fermat principle for extended light sources and extended receivers
• The theory of caustics and wave front singularities with physical applications
• A Morse-theoretical analysis of gravitational lensing by a Kerr-Newman black hole
• The time evolution of marginally trapped surfaces
• Gravitational lensing in general relativity via bifurcation theory
• A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry
• Caustics of wavefronts in general relativity
• The 1965 Penrose singularity theorem
• Genericity of nondegeneracy for light rays in stationary spacetimes
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