Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
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 f...
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American Physical Society
2015
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Online Access: | http://hdl.handle.net/1721.1/98061 https://orcid.org/0000-0001-6211-1388 |
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author | Taracchini, Andrea Buonanno, Alessandra Khanna, Gaurav Hughes, Scott A |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics Taracchini, Andrea Buonanno, Alessandra Khanna, Gaurav Hughes, Scott A |
author_sort | Taracchini, Andrea |
collection | MIT |
description | 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. |
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id | mit-1721.1/98061 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T17:03:40Z |
publishDate | 2015 |
publisher | American Physical Society |
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spelling | mit-1721.1/980612022-10-03T10:06:46Z Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms Taracchini, Andrea Buonanno, Alessandra Khanna, Gaurav Hughes, Scott A Massachusetts Institute of Technology. Department of Physics MIT Kavli Institute for Astrophysics and Space Research Hughes, Scott A. 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. National Science Foundation (U.S.) (Grant PHY-1068720) 2015-08-07T14:31:35Z 2015-08-07T14:31:35Z 2014-10 2014-04 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/98061 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 https://orcid.org/0000-0001-6211-1388 en_US http://dx.doi.org/10.1103/PhysRevD.90.084025 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
spellingShingle | Taracchini, Andrea Buonanno, Alessandra Khanna, Gaurav Hughes, Scott A Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms |
title | Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms |
title_full | Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms |
title_fullStr | Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms |
title_full_unstemmed | Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms |
title_short | Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms |
title_sort | small mass plunging into a kerr black hole anatomy of the inspiral merger ringdown waveforms |
url | http://hdl.handle.net/1721.1/98061 https://orcid.org/0000-0001-6211-1388 |
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