English

Multipolar analysis of spinning binaries

General Relativity and Quantum Cosmology 2008-11-26 v2

Abstract

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 q=4, the spins are anti-aligned with the orbital angular momentum, and the initial Kerr parameters of the holes j_1=j_2=j_i are fine-tuned to produce a Schwarzschild remnant after merger; (3) three "super-kick" runs where the mass ratio q=M_1/M_2=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 the agreement with the numerical simulation.

Keywords

Cite

@article{arxiv.0711.1097,
  title  = {Multipolar analysis of spinning binaries},
  author = {E. Berti and V. Cardoso and J. A. Gonzalez and U. Sperhake and B. Bruegmann},
  journal= {arXiv preprint arXiv:0711.1097},
  year   = {2008}
}

Comments

corrected minor typos in Eqs.(2),(3); final version accepted by CQG

R2 v1 2026-06-21T09:40:56.744Z