Cauchy-perturbative matching and outer boundary conditions I: Methods and tests
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
We present a new method of extracting gravitational radiation from three-dimensional numerical relativity codes and providing outer boundary conditions. Our approach matches the solution of a Cauchy evolution of Einstein's equations to a set of one-dimensional linear wave equations on a curved background. We illustrate the mathematical properties of our approach and discuss a numerical module we have constructed for this purpose. This module implements the perturbative matching approach in connection with a generic three-dimensional numerical relativity simulation. Tests of its accuracy and second-order convergence are presented with analytic linear wave data.
Cite
@article{arxiv.gr-qc/9802011,
title = {Cauchy-perturbative matching and outer boundary conditions I: Methods and tests},
author = {M. E. Rupright and A. M. Abrahams and L. Rezzolla},
journal= {arXiv preprint arXiv:gr-qc/9802011},
year = {2009}
}
Comments
13 pages, 6 figures, RevTeX