Modeling gravitational radiation from coalescing binary black holes
Abstract
With the goal of bringing theory, particularly numerical relativity, to bear on an astrophysical problem of critical interest to gravitational wave observers we introduce a model for coalescence radiation from binary black hole systems. We build our model using the Lazarus approach, a technique that bridges far and close limit approaches with full numerical relativity to solve Einstein equations applied in the truly nonlinear dynamical regime. We specifically study the postorbital radiation from a system of equalmass nonspinning black holes, deriving waveforms which indicate strongly circularly polarized radiation of roughly 3% of the system's total energy and 12% of its total angular momentum in just a few cycles. To support this result we first establish the reliability of the latetime part of our model, including the numerical relativity and closelimit components, with a thorough study of waveforms from a sequence of black hole configurations that varies from previously treated headon collisions to a representative target for ``ISCO'' data corresponding to the end of the inspiral period. We then complete our model with a simple treatment for the early part of the spacetime based on a standard family of initial data for binary black holes in circular orbit. A detailed analysis shows strong robustness in the results as the initial separation of the black holes is increased from 5.0 to 7.8M supporting our waveforms as a suitable basic description of the astrophysical radiation from this system. Finally, a simple fitting of the plunge waveforms is introduced as a first attempt to facilitate the task of analyzing data from gravitational wave detectors.
 Publication:

Physical Review D
 Pub Date:
 June 2002
 DOI:
 10.1103/PhysRevD.65.124012
 arXiv:
 arXiv:astroph/0202469
 Bibcode:
 2002PhRvD..65l4012B
 Keywords:

 04.25.Dm;
 04.25.Nx;
 04.30.Db;
 04.70.Bw;
 Numerical relativity;
 PostNewtonian approximation;
 perturbation theory;
 related approximations;
 Wave generation and sources;
 Classical black holes;
 Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 23 pages, 36 figures, RevTeX4