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

Bela Szilagyi; Christian Reisswig; Denis Pollney; Erik Schnetter; Ernst Nils Dorband; Luciano Rezzolla; Peter Diener

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

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arxiv 0708.3999 v2 pith:IQP3NDAJ submitted 2007-08-29 gr-qc astro-ph

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

Luciano Rezzolla , Ernst Nils Dorband , Christian Reisswig , Peter Diener , Denis Pollney , Erik Schnetter , Bela Szilagyi This is my paper

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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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