Multipolar equations of motion for extended test bodies in General Relativity
General Relativity and Quantum Cosmology
2010-04-06 v2 Solar and Stellar Astrophysics
Abstract
We derive the equations of motion of an extended test body in the context of Einstein's theory of gravitation. The equations of motion are obtained via a multipolar approximation method and are given up to the quadrupolar order. Special emphasis is put on the explicit construction of the so-called canonical form of the energy-momentum density. The set of gravitational multipolar moments and the corresponding equations of motion allow for a systematic comparison to competing multipolar approximation schemes.
Keywords
Cite
@article{arxiv.0909.3756,
title = {Multipolar equations of motion for extended test bodies in General Relativity},
author = {Jan Steinhoff and Dirk Puetzfeld},
journal= {arXiv preprint arXiv:0909.3756},
year = {2010}
}
Comments
18 pages, RevTex format, published version