Verifying the no-hair property of massive compact objects with intermediate-mass-ratio inspirals in advanced gravitational-wave detectors

The detection of gravitational waves from the inspiral of a neutron star or stellar-mass black hole into an intermediate-mass black hole (IMBH) promises an entirely new look at strong-field gravitational physics. Gravitational waves from these intermediate-mass-ratio inspirals (IMRIs), systems with...

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Main Authors: Gair, Jonathan R., Mandel, Ilya, Rodriguez, Carl L.
Other Authors: MIT Kavli Institute for Astrophysics and Space Research
Format: Article
Language:en_US
Published: American Physical Society 2012
Online Access:http://hdl.handle.net/1721.1/72088
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author Gair, Jonathan R.
Mandel, Ilya
Rodriguez, Carl L.
author2 MIT Kavli Institute for Astrophysics and Space Research
author_facet MIT Kavli Institute for Astrophysics and Space Research
Gair, Jonathan R.
Mandel, Ilya
Rodriguez, Carl L.
author_sort Gair, Jonathan R.
collection MIT
description The detection of gravitational waves from the inspiral of a neutron star or stellar-mass black hole into an intermediate-mass black hole (IMBH) promises an entirely new look at strong-field gravitational physics. Gravitational waves from these intermediate-mass-ratio inspirals (IMRIs), systems with mass ratios from ∼10∶1 to ∼100∶1, may be detectable at rates of up to a few tens per year by Advanced LIGO/Virgo and will encode a signature of the central body’s spacetime. Direct observation of the spacetime will allow us to use the “no-hair” theorem of general relativity to determine if the IMBH is a Kerr black hole (or some more exotic object, e.g., a boson star). Using modified post-Newtonian (pN) waveforms, we explore the prospects for constraining the central body’s mass-quadrupole moment in the advanced-detector era. We use the Fisher information matrix to estimate the accuracy with which the parameters of the central body can be measured. We find that for favorable mass and spin combinations, the quadrupole moment of a non-Kerr central body can be measured to within a ∼15% fractional error or better using 3.5 pN order waveforms; on the other hand, we find the accuracy decreases to ∼100% fractional error using 2 pN waveforms, except for a narrow band of values of the best-fit non-Kerr quadrupole moment.
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spelling mit-1721.1/720882022-09-29T21:48:06Z Verifying the no-hair property of massive compact objects with intermediate-mass-ratio inspirals in advanced gravitational-wave detectors Gair, Jonathan R. Mandel, Ilya Rodriguez, Carl L. MIT Kavli Institute for Astrophysics and Space Research Mandel, Ilya Mandel, Ilya The detection of gravitational waves from the inspiral of a neutron star or stellar-mass black hole into an intermediate-mass black hole (IMBH) promises an entirely new look at strong-field gravitational physics. Gravitational waves from these intermediate-mass-ratio inspirals (IMRIs), systems with mass ratios from ∼10∶1 to ∼100∶1, may be detectable at rates of up to a few tens per year by Advanced LIGO/Virgo and will encode a signature of the central body’s spacetime. Direct observation of the spacetime will allow us to use the “no-hair” theorem of general relativity to determine if the IMBH is a Kerr black hole (or some more exotic object, e.g., a boson star). Using modified post-Newtonian (pN) waveforms, we explore the prospects for constraining the central body’s mass-quadrupole moment in the advanced-detector era. We use the Fisher information matrix to estimate the accuracy with which the parameters of the central body can be measured. We find that for favorable mass and spin combinations, the quadrupole moment of a non-Kerr central body can be measured to within a ∼15% fractional error or better using 3.5 pN order waveforms; on the other hand, we find the accuracy decreases to ∼100% fractional error using 2 pN waveforms, except for a narrow band of values of the best-fit non-Kerr quadrupole moment. Illinois Space Grant Consortium National Science Foundation (U.S.) (grant no. DGE-0824162) National Science Foundation (U.S.) (grant no. AST-0901985) Royal Society (Great Britain) 2012-08-10T12:51:05Z 2012-08-10T12:51:05Z 2012-03 2011-12 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1089-4918 http://hdl.handle.net/1721.1/72088 Rodriguez, Carl, Ilya Mandel, and Jonathan Gair. “Verifying the No-hair Property of Massive Compact Objects with Intermediate-mass-ratio Inspirals in Advanced Gravitational-wave Detectors.” Physical Review D 85.6 (2012): 062002. © 2012 American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevD.85.062002 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 Gair, Jonathan R.
Mandel, Ilya
Rodriguez, Carl L.
Verifying the no-hair property of massive compact objects with intermediate-mass-ratio inspirals in advanced gravitational-wave detectors
title Verifying the no-hair property of massive compact objects with intermediate-mass-ratio inspirals in advanced gravitational-wave detectors
title_full Verifying the no-hair property of massive compact objects with intermediate-mass-ratio inspirals in advanced gravitational-wave detectors
title_fullStr Verifying the no-hair property of massive compact objects with intermediate-mass-ratio inspirals in advanced gravitational-wave detectors
title_full_unstemmed Verifying the no-hair property of massive compact objects with intermediate-mass-ratio inspirals in advanced gravitational-wave detectors
title_short Verifying the no-hair property of massive compact objects with intermediate-mass-ratio inspirals in advanced gravitational-wave detectors
title_sort verifying the no hair property of massive compact objects with intermediate mass ratio inspirals in advanced gravitational wave detectors
url http://hdl.handle.net/1721.1/72088
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