Generalized geodesic deviations: a Lagrangean approach

• Autorzy: R. Kerner
• Języki publikacji: EN

Abstrakty

EN

The geodesic deviation equations, called also the Jacobi equations, describe only the first-order effects, linear in the small parameter characterizing the deviation from an original worldline. They can be easily generalized if we take into account the higher-order terms. Here we derive these higher-order equations not only directly, but also from the Taylor expansion of the variational principle itself. Then we show how these equations can be used in a novel approach to the two-body problem in General Relativity

Kategorie tematyczne

• 83-08: Computational methods
• 83C10: Equations of motion
• 83C25: Approximation procedures, weak fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 59
• Numer: 1
• Strony: 173-188

Daty

wydano

2003

Twórcy

autor

R. Kerner

• L.P.T.L., Université Pierre et Marie Curie, CNRS URA 7600, Tour 22, 4-ème étage, boîte 142, 4 place Jussieu, 75005 Paris, France

Identyfikatory

DOI

10.4064/bc59-0-9