Final spin of a coalescing black-hole binary: an Effective-One-Body approach

Details Final spin of a coalescing black-hole binary: an Effective-One-Body approach Final spin of a coalescing black-hole binary: an Effective-One-Body approach

2007-04-26

arxiv.org/abs/0704.3550v2

Phys.Rev.D76:044003,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, two figures. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.044003

We update the analytical estimate of the final spin of a coalescing black-hole binary derived within the Effective-One-Body (EOB) approach. We consider unequal-mass non-spinning black-hole binaries. It is found that a more complete account of relevant physical effects (higher post-Newtonian accuracy, ringdown losses) allows the {\it analytical} EOB estimate to `converge towards' the recently obtained {\it numerical} results within 2%. This agreement illustrates the ability of the EOB approach to capture the essential physics of coalescing black-hole binaries. Our analytical approach allows one to estimate the final spin of the black hole formed by coalescing binaries in a mass range ($\nu=m_1m_2/(m_1+m_2)^2 < 0.16 $) which is not presently covered by numerical simulations.

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