Gravitational wave extraction and outer boundary conditions by perturbative matching
The Binary Black Hole Grand Challenge Alliance: A. M. Abrahams, L., Rezzolla, M. E. Rupright, A. Anderson, P. Anninos, T. W. Baumgarte, N. T., Bishop, S. R. Brandt, J. C. Browne, K. Camarda, M. W. Choptuik, G. B. Cook,, C. R. Evans, L. S. Finn, G. Fox, R. Gomez, T. Haupt
TL;DR
This paper introduces a method to extract gravitational waves from 3D simulations and set outer boundary conditions by treating gravitational variables as perturbations of Schwarzschild spacetime, improving accuracy in numerical relativity.
Contribution
It presents a novel perturbative matching technique for gravitational wave extraction and boundary condition setting in 3D numerical relativity simulations.
Findings
Successful implementation of the method in a 3D code.
Validation results demonstrating accurate gravitational wave extraction.
Effective outer boundary conditions derived from perturbative data.
Abstract
We present a method for extracting gravitational radiation from a three-dimensional numerical relativity simulation and, using the extracted data, to provide outer boundary conditions. The method treats dynamical gravitational variables as nonspherical perturbations of Schwarzschild geometry. We discuss a code which implements this method and present results of tests which have been performed with a three dimensional numerical relativity code.
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