Cauchy-Perturbative Matching and Outer Boundary Conditions
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 are presented.
KeywordsGravitational Wave Outer Boundary Extrinsic Curvature Binary Black Hole Outer Boundary Condition
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- 1.Information about the Binary Black Hole Grand Challenge Alliance, its goals and the present status of its research can be found at the web page: http://www.npac.syr.edu/projects/bh/.Google Scholar