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Multipolar analysis of spinning binaries

E Berti1,2, V Cardoso3,4, J A González5,6, U Sperhake5 and B Brügmann5

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We present a preliminary study of the multipolar structure of gravitational radiation from spinning black hole binary mergers. We consider three different spinning binary configurations: (1) one 'hang-up' run, where the black holes have equal masses and large spins initially aligned with the orbital angular momentum; (2) seven 'spin-flip' runs, where the holes have a mass ratio qM1/M2 = 4, the spins are anti-aligned with the orbital angular momentum, and the initial Kerr parameters of the holes j1 = j2 = ji (where jJ/M2) are fine-tuned to produce a Schwarzschild remnant after merger; (3) three 'super-kick' runs where the mass ratio q = 1, 2, 4 and the spins of the two holes are initially located on the orbital plane, pointing in opposite directions. For all of these simulations we compute the multipolar energy distribution and the Kerr parameter of the final hole. For the hang-up run, we show that including leading-order spin–orbit and spin–spin terms in a multipolar decomposition of the post-Newtonian waveforms improves agreement with the numerical simulation.


PACS

04.30.Db Wave generation and sources

04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations

04.80.Nn Gravitational wave detectors and experiments

04.70.-s Physics of black holes

MSC

83C57 Black holes

83C35 Gravitational waves

Subjects

Gravitation and cosmology

Dates

Issue 11 (7 June 2008)

Received 7 November 2007, in final form 22 December 2007

Published 15 May 2008



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