A coordinate-free derivation of a generalized geodesic deviation equation

DOI10.1063/1.525776zbMath0525.53033OpenAlexW1988177033MaRDI QIDQ3038134

N. S. Swaminarayan, John L. Safko

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525776

zbMATH Keywords

test particledeviation equationgeneralized Jacobi-field

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Equations of motion in general relativity and gravitational theory (83C10) Methods of local Riemannian geometry (53B21)

Related Items (4)

On the generalized Jacobi equation ⋮ DEVIATION EQUATIONS OF SYNGE AND SCHILD OVER $({\bar L}_n,g)$-SPACES ⋮ Reduced phase space optics for general relativity: symplectic ray bundle transfer ⋮ Deviation operator and deviation equations over spaces with affine connections and metrics

Cites Work

• Lie derivatives and deviation equations in Riemannian spaces
• A modified equation of geodesic deviation
• On Jacobi fields
• A “constant of the motion” for the geodesic deviation equation
• Sur De Nouvelles Solutions Oscillatoires Des Equations De La Gravitation

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