Spinning bodies in General Relativity
Abstract
A covariant hamiltonian formalism for the dynamics of compact spinning bodies in curved space-time in the test-particle limit is described. The construction allows a large class of hamiltonians accounting for specific properties and interactions of spinning bodies. The dynamics for a minimal and a specific non-minimal hamiltonian is discussed. An independent derivation of the equations of motion from an appropriate energy-momentum tensor is provided. It is shown how to derive constants of motion, both background-independent and background-dependent ones.
Cite
@article{arxiv.1504.04290,
title = {Spinning bodies in General Relativity},
author = {J. W. van Holten},
journal= {arXiv preprint arXiv:1504.04290},
year = {2016}
}
Comments
8 pages including references. New version: text rewritten and background material added. Results and conclusions unaltered. Version presented at the meeting "Variational Principles and Conservation Laws in General Relativity" (Torino, June 25 2015)