Physical template family for gravitational waves from precessing binaries of spinning compact objects: Application to singlespin binaries
Abstract
The detection of the gravitational waves (GWs) emitted by precessing binaries of spinning compact objects is complicated by the large number of parameters (such as the magnitudes and initial directions of the spins, and the position and orientation of the binary with respect to the detector) that are required to model accurately the precessioninduced modulations of the GW signal. In this paper we describe a fast matchedfiltering search scheme for precessing binaries, and we adopt the physical template family proposed by Buonanno, Chen, and Vallisneri [Phys. Rev. D 67, 104025 (2003)] for groundbased interferometers. This family provides essentially exact waveforms, written directly in terms of the physical parameters, for binaries with a single significant spin, and for which the observed GW signal is emitted during the phase of adiabatic inspiral (for LIGOI and VIRGO, this corresponds to a total mass M≲15M_{⊙}). We show how the detection statistic can be maximized automatically over all the parameters (including the position and orientation of the binary with respect to the detector), except four (the two masses, the magnitude of the single spin, and the opening angle between the spin and the orbital angular momentum), so the template bank used in the search is only fourdimensional; this technique is relevant also to the searches for GW from extrememassratio inspirals and supermassive black hole inspirals to be performed using the spaceborne detector LISA. Using the LIGOI design sensitivity, we compute the detection threshold (∼10) required for a falsealarm probability of 10^{3}/yr and the number of templates (∼76 000) required for a minimum match of 0.97 for the mass range (m_{1},m_{2})=[7,12]M_{⊙}×[1,3]M_{⊙}.
 Publication:

Physical Review D
 Pub Date:
 May 2004
 DOI:
 10.1103/PhysRevD.69.104017
 arXiv:
 arXiv:grqc/0310034
 Bibcode:
 2004PhRvD..69j4017P
 Keywords:

 04.30.Db;
 04.25.Nx;
 04.80.Nn;
 95.55.Ym;
 Wave generation and sources;
 PostNewtonian approximation;
 perturbation theory;
 related approximations;
 Gravitational wave detectors and experiments;
 Gravitational radiation detectors;
 mass spectrometers;
 and other instrumentation and techniques;
 General Relativity and Quantum Cosmology
 EPrint:
 27 pages, 11 figures