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.

Updated to match published version

References in corpus (12)

• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• Supermassive recoil velocities for binary black-hole mergers with antialigned spins
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• The Distribution of Recoil Velocities from Merging Black Holes
• Binary black hole mergers: large kicks for generic spin orientations
• 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
• Modeling Gravitational Recoil Using Numerical Relativity
• Resonant recoil in extreme mass ratio binary black hole mergers

Cited by in corpus (16)

• Remnant mass, spin, and recoil from spin aligned black-hole binaries
• Gravitational-wave imprints of compact and galactic-scale environments in extreme-mass-ratio binaries
• Extreme mass-ratio inspirals around a spinning horizonless compact object
• Importance of transient resonances in extreme-mass-ratio inspirals
• The Astrophysics of Resonant Orbits in the Kerr Metric
• Assessing the impact of transient orbital resonances
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Lorenz gauge gravitational self-force calculations of eccentric binaries using a frequency domain procedure
• 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
• 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