Boundary conditions for hyperbolic formulations of the Einstein equations
General Relativity and Quantum Cosmology
2011-07-19 v2
Abstract
In regards to the initial-boundary value problem of the Einstein equations, we argue that the projection of the Einstein equations along the normal to the boundary yields necessary and appropriate boundary conditions for a wide class of equivalent formulations. We explicitly show that this is so for the Einstein-Christoffel formulation of the Einstein equations in the case of spherical symmetry.
Keywords
Cite
@article{arxiv.gr-qc/0302032,
title = {Boundary conditions for hyperbolic formulations of the Einstein equations},
author = {Simonetta Frittelli and Roberto Gomez},
journal= {arXiv preprint arXiv:gr-qc/0302032},
year = {2011}
}
Comments
15 pages; text added and typesetting errors corrected; to appear in Classical and Quantum Gravity