A timelike extension of Fermat's principle in general relativity and applications

DOI10.1007/s005260050091zbMath0912.58009arXivmath-ph/9906023OpenAlexW2061719372MaRDI QIDQ1384669

Paolo Piccione, Antonio Masiello, Fabio Giannoni

Publication date: 5 May 1999

Published in: Calculus of Variations and Partial Differential Equations, Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9906023

zbMATH Keywords

variational principleLorentzian manifoldtimelike geodesics

Mathematics Subject Classification ID

General relativity (83C99) Geodesics in global differential geometry (53C22) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Equations of motion in general relativity and gravitational theory (83C10) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (12)

Geodesics in stationary spacetimes and classical Lagrangian systems ⋮ A timelike extension of Fermat's principle in general relativity and applications ⋮ On the energy functional on Finsler manifolds and applications to stationary spacetimes ⋮ Geodesics with prescribed energy on static Lorentzian manifolds with convex boundary ⋮ Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric ⋮ Genericity of nondegeneracy for light rays in stationary spacetimes ⋮ Functional regularity properties for light rays in general relativity ⋮ Existence and multiplicity results for massive particles trajectories in a universe with boundary ⋮ On Fermat's principle for causal curves in time oriented Finsler spacetimes ⋮ The arrival time brachistochrones in general relativity. ⋮ A note on the boundary of a static Lorentzian manifold. ⋮ An intrinsic Fermat principle on stationary Lorentzian manifolds and applications.

Cites Work

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