Geometrization of metric boundary data for Einstein's equations
General Relativity and Quantum Cosmology
2009-09-28 v1
Abstract
The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A well-posed initial boundary value problem based upon a new formulation of constraint-preserving boundary conditions of the Sommerfeld type has recently been established for such systems. In this paper these boundary conditions are recast in a geometric form. This serves as a first step toward their application to other metric formulations of Einstein's equations.
Cite
@article{arxiv.0904.0414,
title = {Geometrization of metric boundary data for Einstein's equations},
author = {Jeffrey Winicour},
journal= {arXiv preprint arXiv:0904.0414},
year = {2009}
}
Comments
Article to appear in Gen. Rel. Grav. volume in memory of Juergen Ehlers