Resonantly enhanced kicks from equatorial small mass-ratio inspirals

Abstract

We calculate the kick generated by an eccentric black hole binary inspiral as it evolves through a resonant orbital configuration where the precession of the system temporarily halts. As a result, the effects of the asymmetric emission of gravitational waves build up coherently over a large number of orbits. Our results are calculate using black hole perturbation theory in the limit where the ratio of the masses of the orbiting objects $\epsilon =m/M$ is small. The resulting kick velocity scales as ${\epsilon }^{3/2}$, much faster than the ${\epsilon }^2$ scaling of the kick generated by the final merger. For the most extreme case of a very eccentric ($e\sim 1$) inspiral around a maximally spinning black hole, we find kicks close to $30,000{\epsilon }^{3/2}$~km/s, enough to dislodge a black hole from its host cluster or even galaxy. In reality, such extreme inspirals should be very rare. Nonetheless, the astrophysical impact of kicks in less extreme inspirals could be astrophysically significant.

arXiv commentUpdated to match published version

References in corpus (32)

• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• Maximum gravitational recoil
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• Consequences of gravitational radiation recoil
• Supermassive recoil velocities for binary black-hole mergers with antialigned spins
• Analytic black hole perturbation approach to gravitational radiation
• Perturbative Approach to an orbital evolution around a Supermassive black hole
• The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• Celestial mechanics in Kerr spacetime
• How black holes get their kicks: Gravitational radiation recoil revisited
• Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
• The effect of gravitational-wave recoil on the demography of massive black holes
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• The Distribution of Recoil Velocities from Merging Black Holes
• Gravitational Recoil of Inspiralling Black-Hole Binaries to Second Post-Newtonian Order
• Binary black hole mergers: large kicks for generic spin orientations
• Transient resonances in the inspirals of point particles into black holes
• New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation
• An Efficient Numerical Method for Computing Gravitational Waves Induced by a Particle Moving on Eccentric Inclined Orbits around a Kerr Black Hole
• Recoil velocity at 2PN order for spinning black hole binaries
• Binary black hole merger gravitational waves and recoil in the large mass ratio limit
• Resonantly enhanced and diminished strong-field gravitational-wave fluxes
• Gravitational recoil velocities from eccentric binary black hole mergers
• Conditions for Sustained Orbital Resonances in Extreme Mass Ratio Inspirals
• The harmonic structure of generic Kerr orbits
• A census of transient orbital resonances encountered during binary inspiral
• Gravitational Radiation from Plunging Orbits - Perturbative Study -
• Modeling Gravitational Recoil Using Numerical Relativity
• Evolution of the Carter constant for a resonant inspiral into a Kerr black hole: I. The scalar case
• Resonant recoil in extreme mass ratio binary black hole mergers
• Resonances in Extreme Mass-Ratio Inspirals: Asymptotic and Hyperasymptotic Analysis

Cited by in corpus (31)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Self-force and radiation reaction in general relativity
• Remnant mass, spin, and recoil from spin aligned black-hole binaries
• Highly eccentric inspirals into a black hole
• Black hole perturbation theory and gravitational self-force
• Metric perturbations produced by eccentric equatorial orbits around a Kerr black hole
• Gravitational-wave imprints of compact and galactic-scale environments in extreme-mass-ratio binaries
• Numerical Relativity of Compact Binaries in the 21st Century
• Fast Self-forced Inspirals
• Extreme mass-ratio inspirals around a spinning horizonless compact object
• Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory
• Importance of transient resonances in extreme-mass-ratio inspirals
• Modeling the remnant mass, spin, and recoil from unequal-mass, precessing black-hole binaries: The Intermediate Mass Ratio Regime
• Hamilton-Jacobi equation for spinning particles near black holes
• Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime
• Assessing the impact of transient orbital resonances
• The Astrophysics of Resonant Orbits in the Kerr Metric
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Gyroscopes orbiting black holes: A frequency-domain approach to precession and spin-curvature coupling for spinning bodies on generic Kerr orbits
• Lorenz gauge gravitational self-force calculations of eccentric binaries using a frequency domain procedure
• "Flux-balance formulae" for extreme mass-ratio inspirals
• The mass and angular momentum of reconstructed metric perturbations
• Geodesics and gravitational waves in chaotic extreme-mass-ratio inspirals: the curious case of Zipoy-Voorhees black-hole mimickers
• Resonant self-force effects in extreme-mass-ratio binaries: A scalar model
• Fundamental frequencies and resonances from eccentric and precessing binary black hole inspirals
• Spinning particles near Kerr black holes: Orbits and gravitational-wave fluxes through the Hamilton-Jacobi formalism
• Evolutions of Nearly Maximally Spinning Black Hole Binaries Using the Moving Puncture Approach
• Non-linear effects in EMRI dynamics and their imprints on gravitational waves
• Advancing the Effective-One-Body Framework in the Test-Mass Limit
• Adiabatic evolution due to the conservative scalar self-force during orbital resonances
• Deformed Schwarzschild horizons in second-order perturbation theory: mass, geometry, and teleology