Precessional instability in binary black holes with aligned spins

Abstract

Binary black holes on quasicircular orbits with spins aligned with their orbital angular momentum have been testbeds for analytic and numerical relativity for decades, not least because symmetry ensures that such configurations are equilibrium solutions to the spin-precession equations. In this work, we show that these solutions can be unstable when the spin of the higher-mass black hole is aligned with the orbital angular momentum and the spin of the lower-mass black hole is anti-aligned. Spins in these configurations are unstable to precession to large misalignment when the binary separation $r$ is between the values $r_{\mathrm{ud}\pm }=(\sqrt{{\chi }_1}\pm \sqrt{q{\chi }_2}{)}^4(1-q{)}^{-2}M$, where $M$ is the total mass, $q\equiv m_2/m_1$ is the mass ratio, and ${\chi }_1$ (${\chi }_2$) is the dimensionless spin of the more (less) massive black hole. This instability exists for a wide range of spin magnitudes and mass ratios and can occur in the strong-field regime near merger. We describe the origin and nature of the instability using recently developed analytical techniques to characterize fully generic spin precession. This instability provides a channel to circumvent astrophysical spin alignment at large binary separations, allowing significant spin precession prior to merger affecting both gravitational-wave and electromagnetic signatures of stellar-mass and supermassive binary black holes.

Accepted for publication in PRL. Animations available at http://davidegerosa.com/spinprecession/

References in corpus (12)

• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• Supermassive recoil velocities for binary black-hole mergers with antialigned spins
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• Alignment of the spins of supermassive black holes prior to coalescence
• IndIGO and LIGO-India: Scope and Plans for Gravitational Wave Research and Precision Metrology in India
• Observable Signatures of a Black Hole Ejected by Gravitational Radiation Recoil in a Galaxy Merger
• Multi-timescale analysis of phase transitions in precessing black-hole binaries
• Effective potentials and morphological transitions for binary black-hole spin precession
• The spin-flip phenomenon in supermassive black hole binary mergers
• Relativistic Suppression of Black Hole Recoils
• Final spins from the merger of precessing binary black holes
• Spin alignment and differential accretion in merging black hole binaries

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