Spin Diagrams for Equal-Mass Black-Hole Binaries with Aligned Spins

Details Spin Diagrams for Equal-Mass Black-Hole Binaries with Aligned Spins Spin Diagrams for Equal-Mass Black-Hole Binaries with Aligned Spins

2007-08-29

arxiv.org/abs/0708.3999v2

Astrophys.J. 679:1422-1426,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 3 figs; small changes matching published version

Scientific paper

10.1086/587679

Binary black-hole systems with spins aligned with the orbital angular momentum are of special interest as they may be the preferred end-state of the inspiral of generic supermassive binary black-hole systems. In view of this, we have computed the inspiral and merger of a large set of binary systems of equal-mass black holes with spins aligned with the orbital angular momentum but otherwise arbitrary. By least-square fitting the results of these simulations we have constructed two "spin diagrams" which provide straightforward information about the recoil velocity |v_kick| and the final black-hole spin a_fin in terms of the dimensionless spins a_1 and a_2 of the two initial black holes. Overall they suggest a maximum recoil velocity of |v_kick|=441.94 km/s, and minimum and maximum final spins a_fin=0.3471 and a_fin=0.9591, respectively.

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