# Generalized geodesic deviations: a Lagrangean approach

Banach Center Publications (2003)

- Volume: 59, Issue: 1, page 173-188
- ISSN: 0137-6934

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topR. Kerner. "Generalized geodesic deviations: a Lagrangean approach." Banach Center Publications 59.1 (2003): 173-188. <http://eudml.org/doc/281621>.

@article{R2003,

abstract = {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},

author = {R. Kerner},

journal = {Banach Center Publications},

keywords = {geodesic deviations; Jacobi equations; two-body problem; general relativity; Lagrangian approach},

language = {eng},

number = {1},

pages = {173-188},

title = {Generalized geodesic deviations: a Lagrangean approach},

url = {http://eudml.org/doc/281621},

volume = {59},

year = {2003},

}

TY - JOUR

AU - R. Kerner

TI - Generalized geodesic deviations: a Lagrangean approach

JO - Banach Center Publications

PY - 2003

VL - 59

IS - 1

SP - 173

EP - 188

AB - 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

LA - eng

KW - geodesic deviations; Jacobi equations; two-body problem; general relativity; Lagrangian approach

UR - http://eudml.org/doc/281621

ER -

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