Me. Rupright et al., CAUCHY-PERTURBATIVE MATCHING AND OUTER BOUNDARY-CONDITIONS - METHODS AND TESTS - ART. NO. 044005, Physical review. D. Particles and fields, 5804(4), 1998, pp. 4005
We present a new method of extracting gravitational radiation from thr
ee-dimensional numerical relativity codes and providing outer boundary
conditions. Our approach matches the solution of a Cauchy evolution o
f Einstein's a equations to a set of one-dimensional linear wave equat
ions on a curved background. We illustrate the mathematical properties
of our approach and discuss a numerical module we have constructed fo
r this purpose. This module implements the perturbative matching appro
ach in connection-with a generic three-dimensional numerical relativit
y simulation. Tests of its accuracy and second-order convergence are p
resented with analytic linear wave data.