A single-spin precessing gravitational wave in closed form
arXiv:1304.3332 · doi:10.1103/PhysRevD.89.044021
Abstract
In coming years, gravitational wave detectors should find black hole-neutron star binaries, potentially coincident with astronomical phenomena like short GRBs. These binaries are expected to precess. Gravitational wave science requires a tractable model for precessing binaries, to disentangle precession physics from other phenomena like modified strong field gravity, tidal deformability, or Hubble flow; and to measure compact object masses, spins, and alignments. Moreover, current searches for gravitational waves from compact binaries use templates where the binary does not precess and are ill-suited for detection of generic precessing sources. In this paper we provide a closed-form representation of the single-spin precessing waveform in the frequency domain by reorganizing the signal as a sum over harmonics, each of which resembles a nonprecessing waveform. This form enables simple analytic calculations (e.g., a Fisher matrix) with easily-interpreted results. We have verified that for generic BH-NS binaries, our model agress with the time-domain waveform to 2\%. Straightforward extensions of the derivations outlined here [and provided in full online] allow higher accuracy and error estimates.
v2: test script and supplementary derivation details provided
References in corpus (8)
- Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
- Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
- Parameter estimation for compact binary coalescence signals with the first generation gravitational-wave detector network
- Resonant-plane locking and spin alignment in stellar-mass black-hole binaries: a diagnostic of compact-binary formation
- Comparison between numerical-relativity and post-Newtonian waveforms from spinning binaries: the orbital hang-up case
- Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
- Gravitational waves from BH-NS binaries: Effective Fisher matrices and parameter estimation using higher harmonics
- Accuracy of gravitational waveform models for observing neutron-star--black-hole binaries in Advanced LIGO
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