The final mass and spin of black hole mergers

Details The final mass and spin of black hole mergers The final mass and spin of black hole mergers

2008-07-18

arxiv.org/abs/0807.2985v2

Phys.Rev.D78:081501,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Corrected typos, shortened introduction

Scientific paper

10.1103/PhysRevD.78.081501

We consider black holes resulting from binary black hole mergers. By fitting to numerical results we construct analytic formulas that predict the mass and spin of the final black hole. Our formulas are valid for arbitrary initial spins and mass ratios and agree well with available numerical simulations. We use our spin formula in the context of two common merger scenarios for supermassive galactic black holes. We consider the case of isotropically distributed initial spin orientations (when no surrounding matter is present) and also the case when matter closely aligns the spins with the orbital angular momentum. The spin magnitude of black holes resulting from successive generations of mergers (with symmetric mass ratio $\eta$) has a mean of $1.73\eta + 0.28$ in the isotropic case and 0.94 for the closely aligned case.

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