A timelike extension of fermat's principle in general relativity. Comparisons with the lightlike case

DOI10.1016/S0362-546X(96)00251-9zbMath0886.53034MaRDI QIDQ4374907

Fabio Giannoni

Publication date: 19 April 1998

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

zbMATH Keywords

Palais-Smale conditiongeodesicslight raysLevi-Civita connectionLorentzian geometryFermat's principle

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Applications of differential geometry to physics (53Z05) 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)

Related Items (2)

Critical point theory and global lorentzian geometry ⋮ A variational theory for light rays in convex subsets of stably causal lorentzian manifolds

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• A variational theory for light rays in convex subsets of stably causal lorentzian manifolds
• Infinite dimensional Morse theory and Fermat’s principle in general relativity. I

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