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Binary black hole merger gravitational waves and recoil in the large mass ratio limit

Author(s)
Sundararajan, Pranesh A.; Khanna, Gaurav; Hughes, Scott A
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Abstract
Spectacular breakthroughs in numerical relativity now make it possible to compute spacetime dynamics in almost complete generality, allowing us to model the coalescence and merger of binary black holes with essentially no approximations. The primary limitation of these calculations is now computational. In particular, it is difficult to model systems with large mass ratio and large spins, since one must accurately resolve the multiple lengthscales which play a role in such systems. Perturbation theory can play an important role in extending the reach of computational modeling for binary systems. In this paper, we present first results of a code which allows us to model the gravitational waves generated by the inspiral, merger, and ringdown of a binary system in which one member of the binary is much more massive than the other. This allows us to accurately calibrate binary dynamics in the large mass ratio regime. We focus in this analysis on the recoil imparted to the merged remnant by these waves. We closely examine the “antikick,” an anti-phase cancellation of the recoil arising from the plunge and ringdown waves, described in detail by Schnittman et al. We find that, for orbits aligned with the black hole spin, the antikick grows as a function of spin. The total recoil is smallest for prograde coalescence into a rapidly rotating black hole, and largest for retrograde coalescence. Amusingly, this completely reverses the predicted trend for kick versus spin from analyses that only include inspiral information.
Date issued
2010-05
URI
http://hdl.handle.net/1721.1/56556
Department
Massachusetts Institute of Technology. Department of Physics; MIT Kavli Institute for Astrophysics and Space Research
Journal
Physical Review D
Publisher
American Physical Society
Citation
Sundararajan, Pranesh A., Gaurav Khanna, and Scott A. Hughes. “Binary black hole merger gravitational waves and recoil in the large mass ratio limit.” Physical Review D 81.10 (2010): 104009.
Version: Author's final manuscript
ISSN
1089-4918
0556-2821

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