Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
We present a set of well-posed constraint-preserving boundary conditions for a first-order in time, second-order in space, harmonic formulation of the Einstein equations. The boundary conditions are tested using robust stability, linear and nonlinear waves, and are found to be both less reflective and constraint preserving than standard Sommerfeld-type boundary conditions.
Cite
@article{arxiv.0802.3341,
title = {Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations},
author = {Jennifer Seiler and Bela Szilagyi and Denis Pollney and Luciano Rezzolla},
journal= {arXiv preprint arXiv:0802.3341},
year = {2008}
}
Comments
18 pages, 7 figures, accepted in CQG