The Lazarus project. II. Spacelike extraction with the quasi-Kinnersley tetrad
Abstract
The Lazarus project was designed to make the most of limited 3D binary black-hole simulations, through the identification of perturbations at late times, and subsequent evolution of the Weyl scalar Ψ4 via the Teukolsky formulation. Here we report on new developments, employing the concept of the “quasi-Kinnersley” (transverse) frame, valid in the full nonlinear regime, to analyze late-time numerical space-times that should differ only slightly from Kerr. This allows us to extract the essential information about the background Kerr solution, and through this, to identify the radiation present. We explicitly test this procedure with full-numerical evolutions of Bowen-York data for single spinning black holes, head-on and orbiting black holes near the ISCO regime. These techniques can be compared with previous Lazarus results, providing a measure of the numerical-tetrad errors intrinsic to the method, and giving as a by-product a more robust wave extraction method for numerical elativity.
- Publication:
-
Physical Review D
- Pub Date:
- March 2006
- DOI:
- arXiv:
- arXiv:gr-qc/0510122
- Bibcode:
- 2006PhRvD..73f4005C
- Keywords:
-
- 04.25.Dm;
- 04.25.Nx;
- 04.30.Db;
- 04.70.Bw;
- Numerical relativity;
- Post-Newtonian approximation;
- perturbation theory;
- related approximations;
- Wave generation and sources;
- Classical black holes;
- General Relativity and Quantum Cosmology
- E-Print:
- 17 pages, 10 figures. Journal version with text changes, revised figures. [Note updated version of original Lazarus paper (gr-qc/0104063)]