Einstein and Yang-Mills theories in hyperbolic form without gauge-fixing
General Relativity and Quantum Cosmology
2012-08-27 v1 High Energy Physics - Theory
Abstract
The evolution of physical and gauge degrees of freedom in the Einstein and Yang-Mills theories are separated in a gauge-invariant manner. We show that the equations of motion of these theories can always be written in flux-conservative first-order symmetric hyperbolic form. This dynamical form is ideal for global analysis, analytic approximation methods such as gauge-invariant perturbation theory, and numerical solution.
Cite
@article{arxiv.gr-qc/9506072,
title = {Einstein and Yang-Mills theories in hyperbolic form without gauge-fixing},
author = {A. Abrahams and A. Anderson and Y. Choquet-Bruhat and J. W. York,},
journal= {arXiv preprint arXiv:gr-qc/9506072},
year = {2012}
}
Comments
12 pages, revtex3.0, no figures