Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 37, Issue 9, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6382/ab79d3
Keywords
binary black hole dynamics; extreme mass ratio inspiral; transition from inspiral to plunge; rapidly rotating black hole; ISCO
Categories
Funding
- IISN [4.4503.15]
- COST Action [GWverse CA16104]
- K U Leuven [C16/16/005]
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We extend the Ori-Thorne-Kesden procedure to consistently describe the non-quasi-circular transition around the ISCO from inspiral to plunge into a black hole of arbitrary spin, including near-extremal. We identify that for moderate or high spins the transition is governed by the Painleve transcendent equation of the first kind while for extremely high spins it is governed by a self-similar solution to the Korteweg-de Vries equation. We match the transition solution at leading order in the high spin limit with the analytical quasi-circular inspiral in the near-horizon region. We also show that the central black hole of an extreme mass ratio binary has a near-extremality parameter that scales at least as the mass ratio due to superradiant gravitational wave emission, which excludes extremely high spins.
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