Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
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Author(s) • • •
Taracchini, Andrea
Buonanno, Alessandra
Khanna, Gaurav
Hughes, Scott A
Date Issued
October 2014
Journal
Physical Review D
Publisher
American Physical Society
Citation
Taracchini, Andrea, Alessandra Buonanno, Gaurav Khanna, and Scott A. Hughes. “Small Mass Plunging into a Kerr Black Hole: Anatomy of the Inspiral-Merger-Ringdown Waveforms.” Phys. Rev. D 90, no. 8 (October 2014). © 2014 American Physical Society
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Final published version
Abstract
We numerically solve the Teukolsky equation in the time domain to obtain the gravitational-wave emission of a small mass inspiraling and plunging into the equatorial plane of a Kerr black hole. We account for the dissipation of orbital energy using the Teukolsky frequency-domain gravitational-wave fluxes for circular, equatorial orbits, down to the light-ring. We consider Kerr spins −0.99 ≤ q ≤ 0.99, and compute the inspiral-merger-ringdown (2,2), (2,1), (3,3), (3,2), (4,4), and (5,5) modes. We study the large-spin regime, and find a great simplicity in the merger waveforms, thanks to the extremely circular character of the plunging orbits. We also quantitatively examine the mixing of quasinormal modes during the ringdown, which induces complicated amplitude and frequency modulations in the waveforms. Finally, we explain how the study of small mass-ratio black-hole binaries helps extending effective-one-body models for comparable-mass, spinning black-hole binaries to any mass ratio and spin magnitude.
MIT Department
Massachusetts Institute of Technology. Department of Physics
MIT Kavli Institute for Astrophysics and Space Research
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.90.084025