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Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism

Year: 2014
Type: article
Abstract: We describe a general procedure to generate spinning, precessing waveforms that include inspiral, merger, and ringdown stages in the effective-one-body (EOB) approach. The procedure uses a precessing frame in which precession-induced amplitude and phase modulations are minimized, and an inertial frame, aligned with the spin of the final black hole, in which we carry out the matching of the inspiral-plunge to merger-ringdown waveforms. As a first application, we build spinning, precessing EOB waveforms for the gravitational modes $\ensuremath{\ell}=2$ such that in the nonprecessing limit those waveforms agree with the EOB waveforms recently calibrated to numerical-relativity waveforms. Without recalibrating the EOB model, we then compare EOB and post-Newtonian precessing waveforms to two numerical-relativity waveforms produced by the Caltech-Cornell-CITA collaboration. The numerical waveforms are strongly precessing and have 35 and 65 gravitational-wave cycles. We find a remarkable agreement between EOB and numerical-relativity precessing waveforms and spins' evolutions. The phase difference is $\ensuremath{\sim}0.2\text{ }\text{ }\mathrm{rad}$ rad at merger, while the mismatches, computed using the advanced-LIGO noise spectral density, are below 2% when maximizing only on the time and phase at coalescence and on the polarization angle.
DOI: 10.1103/physrevd.89.084006
Authors: Yi Pan, Alessandra Buonanno, Andrea Taracchini, Lawrence E. Kidder, Abdul H. Mroué, Harald P. Pfeiffer, Mark A. Scheel, Béla Szilágyi
Institutions: Joint Space Science Institute, University of Maryland, College Park, Cornell University, University of Toronto, Canadian Institute for Theoretical Astrophysics, Canadian Institute for Advanced Research, California Institute of Technology
Language: English
Open Access status: bronze
Funders: National Science Foundation, National Aeronautics and Space Administration, California Institute of Technology, Sherman Fairchild Foundation, Compute Canada, Government of Ontario, University of Toronto, Natural Sciences and Engineering Research Council of Canada
Awards: Modeling the Dynamics and the Gravitational-Wave Emission of Co-Alescing Compact Binary Systems, Collaborative Research: Developing Spectral Methods for Numerical Solution of Einstein's Equations, G5147697952, Research in Black-Hole Physics and Relativistic Astrophysics, TO ACCOMPLISH THIS, WE PROPOSE TO INVESTIGATE THE SCIENTIFIC PERFORMANCE OF LISA-LIKE INSTRUMENTS. WE WILL PRIMARILY FOCUS ON HOW WELL THESE MISSIONS, MRI-R2: Acquisition of a Compute Cluster for High-Fidelity Simulations of Gravitational Wave Sources -- Facilitating LIGO and Enabling Multi-Messenger Astronomy, In Search of Gravitational Waves: Modeling the Inspiral, Merger and Ringdown of Spinning Compact Binaries
OpenAlex ID: W2147686177
FWCI: 12.59
Cites: 69
Cited by: 393
Related to: 10