1998
DOI: 10.1103/physrevlett.80.1812
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Gravitational Wave Extraction and Outer Boundary Conditions by Perturbative Matching

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. [S0031-9007(98)05380-0] PACS numbers: 04.25. Dm, 04.30.Db, 04.70.Bw… Show more

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Cited by 104 publications
(60 citation statements)
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“…In [46,47], boundary conditions for the full nonlinear Einstein equations on a finite domain are obtained by matching to exact solutions of the linearized field equations at the boundary. Alternatively, the interior code could be matched to an 'outer module' that solves the linearized field equations numerically [48][49][50][51]. Other approaches involve matching the interior nonlinear Cauchy code to an outer characteristic code (see [52] for a review) or using hyperboloidal spacetime slices that can be compactified towards null infinity (see [53] for a review).…”
Section: Discussionmentioning
confidence: 99%
“…In [46,47], boundary conditions for the full nonlinear Einstein equations on a finite domain are obtained by matching to exact solutions of the linearized field equations at the boundary. Alternatively, the interior code could be matched to an 'outer module' that solves the linearized field equations numerically [48][49][50][51]. Other approaches involve matching the interior nonlinear Cauchy code to an outer characteristic code (see [52] for a review) or using hyperboloidal spacetime slices that can be compactified towards null infinity (see [53] for a review).…”
Section: Discussionmentioning
confidence: 99%
“…These solutions exhibit non-trivial dynamics which exercise the boundaries, but for which the source terms of the Einstein equations are negligible. The particular initial data which we use are the quadrupole Teukolsky waves [28], which have been used as a testbed in a number of numerical studies [29][30][31][32]. The particular solution which we use follows Eppley [33] in combining incoming and outgoing wave packets so as to produce a solution which is regular everywhere in the spacetime.…”
Section: Linear Wavesmentioning
confidence: 99%
“…Most perturbative-numerical matching schemes that have been implemented in general relativity have been based upon perturbations of a Schwarzschild background using the standard Schwarzschild time slicing [1, 4, 2, 3, 181, 180, 156]. It would be interesting to compare results with an analytic-numeric matching scheme based upon the true null cones.…”
Section: Cauchy-characteristic Matchingmentioning
confidence: 99%
“…Most of the effort in numerical relativity has centered about the Cauchy {3+1} formalism [226], with the gravitational radiation extracted by perturbative methods based upon introducing an artificial Schwarzschild background in the exterior region [1, 4, 2, 3, 181, 180, 156]. These wave extraction methods have not been thoroughly tested in a nonlinear 3D setting.…”
Section: Introductionmentioning
confidence: 99%