How black holes get their kicks! Gravitational radiation recoil from binary inspiral and plunge into a rapidly-rotating black hole in the extreme-mass-ratio limit

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Black hole-black hole binaries are likely products of galaxy mergers and the dynamics of globular clusters. If tight enough, the orbits of these binaries will decay by emission of gravitational radiation. The emitted radiation carries a linear momentum flux which can impart a "kick" to the system's center of mass. Previous work has speculated that this kick may be large enough for the system to escape its host galaxy or cluster. We revisit this problem using the tools of black hole perturbation theory applied to extreme mass ratio binaries. This allows us to in principle obtain a very accurate calculation of the recoil in the limit in which one black hole is much more massive than the other, and to explore the recoil's dependence on parameters such as black hole spin and relative inclination of the spin and orbit. We argue that these results can be extrapolated into the comparable mass ratio regime with accuracy of about 20%. Although still in progress, our results so far indicate that astrophysically interesting recoils (tens to hundreds of km/sec) are certainly possible.

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