Problems which are well-posed in a generalized sense with applications to the Einstein equations
General Relativity and Quantum Cosmology
2011-04-21 v3
Abstract
In the harmonic description of general relativity, the principle part of Einstein equations reduces to a constrained system of 10 curved space wave equations for the components of the space-time metric. We use the pseudo-differential theory of systems which are well-posed in the generalized sense to establish the well-posedness of constraint preserving boundary conditions for this system when treated in second order differential form. The boundary conditions are of a generalized Sommerfeld type that is benevolent for numerical calculation.
Keywords
Cite
@article{arxiv.gr-qc/0602051,
title = {Problems which are well-posed in a generalized sense with applications to the Einstein equations},
author = {H. -O. Kreiss and J. Winicour},
journal= {arXiv preprint arXiv:gr-qc/0602051},
year = {2011}
}
Comments
Final version to appear in Classical and Qunatum Gravity