On the motion of a compact elastic body
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
We study the problem of motion of a relativistic, ideal elastic solid with free surface boundary by casting the equations in material form ("Lagrangian coordinates"). By applying a basic theorem due to Koch, we prove short-time existence and uniqueness for solutions close to a trivial solution. This trivial, or natural, solution corresponds to a stress-free body in rigid motion.
Keywords
Cite
@article{arxiv.gr-qc/0508025,
title = {On the motion of a compact elastic body},
author = {Robert Beig and Michael Wernig-Pichler},
journal= {arXiv preprint arXiv:gr-qc/0508025},
year = {2008}
}
Comments
12 pages, with slight corrections, to be published in Commun.Math.Phys