Mixed Elliptic and Hyperbolic Systems for the Einstein Equations
General Relativity and Quantum Cosmology
2012-08-27 v1
Abstract
We analyse the mathematical underpinnings of a mixed hyperbolic-elliptic form of the Einstein equations of motion in which the lapse function is determined by specified mean curvature and the shift is arbitrary. We also examine a new recently-published first order symmetric hyperbolic form of the equations of motion. This paper is dedicated to Andre Lichnerowicz on the occasion of his 80th birthday and will appear in a volume edited by G. Ferrarese.
Cite
@article{arxiv.gr-qc/9601030,
title = {Mixed Elliptic and Hyperbolic Systems for the Einstein Equations},
author = {Y. Choquet-Bruhat and J. W. York,},
journal= {arXiv preprint arXiv:gr-qc/9601030},
year = {2012}
}
Comments
tex, 14 pages, no figures