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

Abstract

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 ($\nu =m_1{m}_2/(m_1+m_2{)}^2<0.16$) which is not presently covered by numerical simulations.

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

References in corpus (1)

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