On a Fermat principle in general relativity. A Morse theory for light rays

DOI10.1007/BF02104754zbMath0855.53039MaRDI QIDQ1921891

Fabio Giannoni, Antonio Masiello

Publication date: 3 September 1996

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

global hyperbolicityFermat's principlegravitational lens effectMorse theory for lightlike geodesics

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Electromagnetic fields in general relativity and gravitational theory (83C50) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10) Variational principles of physics (49S05)

Related Items

A Morse-theoretical analysis of gravitational lensing by a Kerr-Newman black hole, A timelike extension of Fermat's principle in general relativity and applications, A local variational theory for the Schmidt metric, Unnamed Item, On a morse theory for light rays without nondegeneracy assumptions, Gravitational lensing from a spacetime perspective, Functional regularity properties for light rays in general relativity, Light rays having extreme points with the same spatial coordinates

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