English

Black-hole binary simulations: the mass ratio 10:1

General Relativity and Quantum Cosmology 2010-03-26 v2

Abstract

We present the first numerical simulations of an initially non-spinning black-hole binary with mass ratio as large as 10:1 in full general relativity. The binary completes approximately 3 orbits prior to merger and radiates about 0.415% of the total energy and 12.48% of the initial angular momentum in the form of gravitational waves. The single black hole resulting from the merger acquires a kick of about 66.7 km/s relative to the original center of mass frame. The resulting gravitational waveforms are used to validate existing formulas for the recoil, final spin and radiated energy over a wider range of the symmetric mass ratio parameter eta=M1*M2/(M1+M2)^2 than previously possible. The contributions of l > 2 multipoles are found to visibly influence the gravitational wave signal obtained at fixed inclination angles.

Keywords

Cite

@article{arxiv.0811.3952,
  title  = {Black-hole binary simulations: the mass ratio 10:1},
  author = {Jose A. Gonzalez and Ulrich Sperhake and Bernd Bruegmann},
  journal= {arXiv preprint arXiv:0811.3952},
  year   = {2010}
}

Comments

To match published version

R2 v1 2026-06-21T11:44:50.884Z