Cauchy-perturbative matching and outer boundary conditions: computational studies

Details Cauchy-perturbative matching and outer boundary conditions: computational studies Cauchy-perturbative matching and outer boundary conditions: computational studies

1998-07-17

arxiv.org/abs/gr-qc/9807047v1

Phys.Rev. D59 (1999) 064001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, RevTeX

Scientific paper

10.1103/PhysRevD.59.064001

We present results from a new technique which allows extraction of gravitational radiation information from a generic three-dimensional numerical relativity code and provides stable outer boundary conditions. In our approach we match the solution of a Cauchy evolution of the nonlinear Einstein field equations to a set of one-dimensional linear equations obtained through perturbation techniques over a curved background. We discuss the validity of this approach in the case of linear and mildly nonlinear gravitational waves and show how a numerical module developed for this purpose is able to provide an accurate and numerically convergent description of the gravitational wave propagation and a stable numerical evolution.

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