A "no-hair" test for binary black holes

Abstract

One of the consequences of the black-hole "no-hair" theorem in general relativity (GR) is that gravitational radiation (quasi-normal modes) from a perturbed Kerr black hole is uniquely determined by its mass and spin. Thus, the spectrum of quasi-normal mode frequencies have to be all consistent with the same value of the mass and spin. Similarly, the gravitational radiation from a coalescing binary black hole system is uniquely determined by a small number of parameters (masses and spins of the black holes and orbital parameters). Thus, consistency between different spherical harmonic modes of the radiation is a powerful test that the observed system is a binary black hole predicted by GR. We formulate such a test, develop a Bayesian implementation, demonstrate its performance on simulated data and investigate the possibility of performing such a test using previous and upcoming gravitational wave observations.

arXiv comment5 pages, 4 figures

References in corpus (21)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• emcee: The MCMC Hammer
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Quasinormal modes of black holes and black branes
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Tests of general relativity with GW150914
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations
• Double Compact Objects II: Cosmological Merger Rates
• The Rate of Binary Black Hole Mergers Inferred from Advanced LIGO Observations Surrounding GW150914
• Bayesian coherent analysis of in-spiral gravitational wave signals with a detector network
• Spectroscopy of Kerr black holes with Earth- and space-based interferometers
• Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism
• First higher-multipole model of gravitational waves from spinning and coalescing black-hole binaries
• Bayesian model selection for testing the no-hair theorem with black hole ringdowns
• Testing the no-hair theorem with black hole ringdowns using TIGER
• Accurate inspiral-merger-ringdown gravitational waveforms for non-spinning black-hole binaries including the effect of subdominant modes

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• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• New Horizons for Fundamental Physics with LISA
• The Science of the Einstein Telescope
• Analytical computation of quasi-normal modes of slowly-rotating black-holes in dCS gravity
• Listening to the Universe with Next Generation Ground-Based Gravitational-Wave Detectors
• On the identification of individual gravitational wave image types of a lensed system using higher-order modes
• Constraints on the binary black hole nature of GW151226 and GW170608 from the measurement of spin-induced quadrupole moments
• Binary black hole spectroscopy: a no-hair test of GW190814 and GW190412
• Investigating the relation between gravitational wave tests of general relativity
• Testing the"no-hair" nature of binary black holes using the consistency of multipolar gravitational radiation
• Unveiling the spectrum of inspiralling binary black holes
• Including mode mixing in a higher-multipole model for gravitational waveforms from nonspinning black-hole binaries
• Model systematics in time domain tests of binary black hole evolution
• Mimicking Kerr's multipole moments
• Detectability of gravitational higher order modes in the third-generation era
• Improved parametrized test of general relativity using the IMRPhenomX waveform family: Including higher harmonics and precession
• Octupolar test of general relativity
• Multiparameter multipolar test of general relativity with gravitational waves
• Testing gravitational waveform models using angular momentum
• Parametrized multipolar gravitational waveforms for testing general relativity: Amplitude corrections up to 2PN order
• Applying higher-modes consistency test on GW190814 : lessons on no-hair theorem, nature of the secondary compact object and waveform modeling
• Probing the Purely Ingoing Nature of the Black-hole Event Horizon