Multipole particle in relativity
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
We discuss the motion of extended objects in a spacetime by considering a gravitational field created by these objects. We define multipole moments of the objects as a classification by Lie group SO(3). Then, we construct an energy-momentum tensor for the objects and derive equations of motion from it. As a result, we reproduce the Papapetrou equations for a spinning particle. Furthermore, we will show that we can obtain more simple equations than the Papapetrou equations by changing the center-of-mass.
Cite
@article{arxiv.gr-qc/0306062,
title = {Multipole particle in relativity},
author = {Akira Ohashi},
journal= {arXiv preprint arXiv:gr-qc/0306062},
year = {2009}
}
Comments
22 pages, 2 figures. Accepted for publication in Phys. Rev. D