Generalized geodesic deviations: a Lagrangean approach

@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 -