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Gravitational radiation from plunging orbits: Perturbative study

Mino, Yasushi and Brink, Jeandrew (2008) Gravitational radiation from plunging orbits: Perturbative study. Physical Review D, 78 (12). p. 124015. ISSN 2470-0010. doi:10.1103/PhysRevD.78.124015.

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Numerical relativity has recently yielded a plethora of results about kicks from spinning mergers which has, in turn, vastly increased our knowledge about the spin interactions of black hole systems. In this work we use black hole perturbation theory to calculate accurately the gravitational waves emanating from the end of the plunging stage of an extreme mass ratio merger in order to further understand this phenomenon. This study focuses primarily on spin induced effects with emphasis on the maximally spinning limit and the identification of possible causes of generic behavior. We find that gravitational waves emitted during the plunging phase exhibit damped oscillatory behavior, corresponding to a coherent excitation of quasinormal modes by the test particle. This feature is universal in the sense that the frequencies and damping time do not depend on the orbital parameters of the plunging particle. Furthermore, the observed frequencies are distinct from those associated with the usual free quasinormal ringing. Our calculation suggests that a maximum in radiated energy and momentum occurs at spin parameters equal to a/M=0.86 and a/M=0.81, respectively, for the plunge stage of a polar orbit. The dependence of linear momentum emission on the angle at which a polar orbit impacts the horizon is quantified. One of the advantages of the perturbation approach adopted here is that insight into the actual mechanism of radiation emission and its relationship to black hole ringing is obtained by carefully identifying the dominant terms in the expansions used.

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Additional Information:© 2008 The American Physical Society. Received 16 September 2008; published 18 December 2008. We would like to thank Professor Kip Thorne, Professor Yanbei Chen, and Dr. Emanuele Berti for fruitful discussions. Y.M. is supported by NSF Grant No. PHY-0601459, No. PHY-0653653, NASA Grant No. NNX07AH06G, No. NNG04GK98G, and the Brinson Foundation. J.B. gratefully acknowledges support from the Fairchild Foundation.
Funding AgencyGrant Number
National Science FoundationPHY-0601459
National Science FoundationPHY-0653653
Brinson FoundationUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Issue or Number:12
Record Number:CaltechAUTHORS:MINprd08c
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12691
Deposited By: Archive Administrator
Deposited On:19 Dec 2008 23:55
Last Modified:08 Nov 2021 22:32

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