Resonant-plane locking and spin alignment in stellar-mass black-hole binaries: a diagnostic of compact-binary formation

Abstract

We study the influence of astrophysical formation scenarios on the precessional dynamics of spinning black-hole binaries by the time they enter the observational window of second- and third-generation gravitational-wave detectors, such as Advanced LIGO/Virgo, LIGO-India, KAGRA and the Einstein Telescope. Under the plausible assumption that tidal interactions are efficient at aligning the spins of few-solar mass black-hole progenitors with the orbital angular momentum, we find that black-hole spins should be expected to preferentially lie in a plane when they become detectable by gravitational-wave interferometers. This "resonant plane" is identified by the conditions ΔΦ=0° or ΔΦ=+/-180°, where ΔΦis the angle between the components of the black-hole spins in the plane orthogonal to the orbital angular momentum. If the angles ΔΦcan be accurately measured for a large sample of gravitational-wave detections, their distribution will constrain models of compact binary formation. In particular, it will tell us whether tidal interactions are efficient and whether a mechanism such as mass transfer, stellar winds, or supernovae can induce a mass-ratio reversal (so that the heavier black hole is produced by the initially lighter stellar progenitor). Therefore our model offers a concrete observational link between gravitational-wave measurements and astrophysics. We also hope that it will stimulate further studies of precessional dynamics, gravitational-wave template placement and parameter estimation for binaries locked in the resonant plane.

26 pages, 11 figures, 3 tables, accepted in Physical Review D. 4 movies illustrating resonance locking are available online: for links, see footnote 8 of the paper

References in corpus (20)

• Modules for Experiments in Stellar Astrophysics (MESA)
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Alignment of the spins of supermassive black holes prior to coalescence
• The Interaction of Stellar Objects within a Common Envelope
• Reconstructing the massive black hole cosmic history through gravitational waves
• Detecting binary neutron star systems with spin in advanced gravitational-wave detectors
• A Precise Proper Motion for the Crab Pulsar, and the Difficulty of Testing Spin-Kick Alignment for Young Neutron Stars
• Jet Power and Black Hole Spin: Testing an Empirical Relationship and Using it to Predict the Spins of Six Black Holes
• Black Hole Spin Evolution: Implications for Short-hard Gamma Ray Bursts and Gravitational Wave Detection
• The spin axes orbital alignment of both stars within the eclipsing binary system V1143Cyg using the Rossiter-McLaughlin effect
• Interacting Binaries with Eccentric Orbits II. Secular Orbital Evolution Due To Non-Conservative Mass Transfer
• Relativistic Suppression of Black Hole Recoils
• Final spins from the merger of precessing binary black holes
• Effects of post-Newtonian Spin Alignment on the Distribution of Black-Hole Recoils
• BANANA IV: Two aligned stellar rotation axes in the young eccentric binary system EP Crucis: primordial orientation and tidal alignment
• Constraining properties of the black hole population using LISA
• The Spin Distribution of Millisecond X-ray Pulsars
• Accuracy of the post-Newtonian approximation. II. Optimal asymptotic expansion of the energy flux for quasicircular, extreme mass-ratio inspirals into a Kerr black hole
• Stellar adiabatic mass loss model and applications
• Neutron star spin-kick velocity correlation effect on binary neutron star coalescence rates and spin-orbit misalignment of the components

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