Continuous body dynamics and the Mathisson-Papapetrou-Dixon equations
General Relativity and Quantum Cosmology
2017-03-08 v1
Abstract
We show that an effective particle Lagrangian yields the Mathisson-Papapetrou-Dixon (MPD) equations. The spin of the effective particle is defined without any reference to a fixed body frame or angular velocity variable. We then demonstrate that a continuous body, defined by a congruence of world lines and described by a general action, can be rewritten as an effective particle. We analyze the gauge freedom of the body and show that a natural center of mass condition is related to a spin supplementary condition.
Cite
@article{arxiv.1701.01545,
title = {Continuous body dynamics and the Mathisson-Papapetrou-Dixon equations},
author = {S. P. Loomis and J. David Brown},
journal= {arXiv preprint arXiv:1701.01545},
year = {2017}
}