Constraints on the binary black hole nature of GW151226 and GW170608 from the measurement of spin-induced quadrupole moments

Abstract

According to the "no-hair" conjecture, a Kerr black hole (BH) is completely described by its mass and spin. In particular, the spin-induced quadrupole moment of a Kerr BH with mass $m$ and dimensionless spin $\chi$ can be written as $Q=-\kappa m^3{\chi }^2$, where ${\kappa }_{\mathrm{BH}}=1$. Thus by measuring the spin-induced quadrupole parameter $\kappa$, we can test the binary black hole nature of compact binaries and distinguish them from binaries comprised of other exotic compact objects, as proposed in [N. V. Krishnendu et al., PRL 119, 091101 (2017)]. Here, we present a Bayesian framework to carry out this test where we measure the symmetric combination of individual spin-induced quadrupole moment parameters fixing the anti-symmetric combination to be zero. The analysis is restricted to the inspiral part of the signal as the spin-induced deformations are not modeled in the post-inspiral regime. We perform detailed simulations to investigate the applicability of this method for compact binaries of different masses and spins and also explore various degeneracies in the parameter space which can affect this test. We then apply this method to the gravitational wave events, GW151226 and GW170608 detected during the first and second observing runs of Advanced LIGO and Advanced Virgo detectors. We find the two events to be consistent with binary black hole mergers in general relativity. By combining information from several more of such events in future, this method can be used to set constraints on the black hole nature of the population of compact binaries that are detected by the Advanced LIGO and Advanced Virgo detectors.

arXiv comment12 pages, 5 figures Accepted for publication in PRD. Journal reference:Phys. Rev. D 100, 104019, 2019

References in corpus (87)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Tests of general relativity with GW150914
• Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis
• Tidal Love numbers of neutron stars
• Effective one-body approach to general relativistic two-body dynamics
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Sensitivity Studies for Third-Generation Gravitational Wave Observatories
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Testing the nature of dark compact objects: a status report
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Relativistic tidal properties of neutron stars
• Transition from inspiral to plunge in binary black hole coalescences
• Is the gravitational-wave ringdown a probe of the event horizon?
• Gravitational Vacuum Condensate Stars
• Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
• Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
• Relativistic theory of tidal Love numbers
• A simple model of complete precessing black-hole-binary gravitational waveforms
• Inspiral-merger-ringdown waveforms for black-hole binaries with non-precessing spins
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework
• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• Bounding the mass of the graviton using gravitional-wave observations of inspiralling compact binaries
• Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• Gravitational radiation from compact binary systems: gravitational waveforms and energy loss to second post-Newtonian order
• Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
• Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects
• Mapping spacetimes with LISA: inspiral of a test-body in a `quasi-Kerr' field
• Testing strong-field gravity with tidal Love numbers
• How to tell a gravastar from a black hole
• Bayesian coherent analysis of in-spiral gravitational wave signals with a detector network
• Gravitational waves from inspiraling compact binaries: The quadrupole-moment term
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
• Gravitational Wave Tests of General Relativity with the Parameterized Post-Einsteinian Framework
• No-hair theorem for Black Holes in Astrophysical Environments
• Quadrupole moments of rotating neutron stars
• TIGER: A data analysis pipeline for testing the strong-field dynamics of general relativity with gravitational wave signals from coalescing compact binaries
• Bayesian model selection for testing the no-hair theorem with black hole ringdowns
• Towards a formalism for mapping the spacetimes of massive compact objects: Bumpy black holes and their orbits
• Distinguishing Boson Stars from Black Holes and Neutron Stars from Tidal Interactions in Inspiraling Binary Systems
• Degeneracy between mass and spin in black-hole-binary waveforms
• Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
• Next-to-next-to-leading order spin-orbit effects in the gravitational wave flux and orbital phasing of compact binaries
• Testing post-Newtonian theory with gravitational wave observations
• Probing the non-linear structure of general relativity with black hole binaries
• A Mock Data Challenge for the Einstein Gravitational-Wave Telescope
• Astrophysical signatures of boson stars: quasinormal modes and inspiral resonances
• Testing the binary black hole nature of a compact binary coalescence
• Ready-to-use post-Newtonian gravitational waveforms for binary black holes with non-precessing spins: An update
• Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
• Testing the no-hair theorem with black hole ringdowns using TIGER
• Probing Planckian corrections at the horizon scale with LISA binaries
• Hunting for Dark Particles with Gravitational Waves
• Revising the multipole moments of numerical spacetimes, and its consequences
• Testing general relativity using gravitational wave signals from the inspiral, merger and ringdown of binary black holes
• The Tune of Love and the Nature(ness) of Spacetime
• Spacetime and orbits of bumpy black holes
• Observing and measuring the neutron-star equation-of-state in spinning binary neutron star systems
• Cubic order spin effects in the dynamics and gravitational wave energy flux of compact object binaries
• Tidal deformability and I-Love-Q relations for gravastars with polytropic thin shells
• Next-to-next-to-leading order spin-orbit effects in the equations of motion of compact binary systems
• Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
• Tidal heating and torquing of a Kerr black hole to next-to-leading order in the tidal coupling
• Post-Newtonian spin-tidal couplings for compact binaries
• Next-to-leading tail-induced spin-orbit effects in the gravitational radiation flux of compact binaries
• Slowly rotating thin shell gravastars
• Supermassive black holes or boson stars? Hair counting with gravitational wave detectors
• Impact of high-order tidal terms on binary neutron-star waveforms
• A "no-hair" test for binary black holes
• Dynamics of marginally trapped surfaces in a binary black hole merger: Growth and approach to equilibrium
• Testing general relativity with gravitational waves: a reality check
• Improved next-to-leading order tidal heating and torquing of a Kerr black hole
• Spin-induced deformations and tests of binary black hole nature using third-generation detectors
• Quasinormal modes of relativistic stars and interacting fields
• Projected constraints on the dispersion of gravitational waves using advanced ground- and space-based interferometers
• Testing general relativity with compact coalescing binaries: comparing exact and predictive methods to compute the Bayes factor

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• Testing the Kerr nature of intermediate-mass and supermassive black hole binaries using spin-induced multipole moment measurements
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• Efficient fully precessing gravitational waveforms for binaries with neutron stars
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• Efficient search method of anomalous reflection by the central object in an EMRI system by future space gravitational wave detectors
• The effects of the spin and quadrupole moment of SgrA* on the orbits of S stars
• Ten years of extreme gravity tests of general theory of relativity with gravitational-wave observations
• Testing general relativity with gravitational waves -- improving and extending Modified Dispersion Relation tests
• Applying higher-modes consistency test on GW190814 : lessons on no-hair theorem, nature of the secondary compact object and waveform modeling
• Inferring neutron-star Love-Q relations from gravitational waves in the hierarchical Bayesian framework