The final spin from the coalescence of aligned-spin black-hole binaries

Abstract

Determining the final spin of a black-hole (BH) binary is a question of key importance in astrophysics. Modelling this quantity in general is made difficult by the fact that it depends on the 7-dimensional space of parameters characterizing the two initial black holes. However, in special cases, when symmetries can be exploited, the description can become simpler. For black-hole binaries with unequal masses but with equal spins which are aligned with the orbital angular momentum, we show that the use of recent simulations and basic but exact constraints derived from the extreme mass-ratio limit allow to model this quantity with a simple analytic expression. Despite the simple dependence, the expression models very accurately all of the available estimates, with errors of a couple of percent at most. We also discuss how to use the fit to predict when a Schwarzschild BH is produced by the merger of two spinning BHs, when the total angular momentum of the spacetime ``flips'' sign, or under what conditions the final BH is ``spun-up'' by the merger. Finally, suggest an extension of the fit to include unequal-spin binaries, thus potentially providing a complete description of the final spin from the coalescence of generic black-hole binaries with spins aligned to the orbital angular momentum.

Version matching the published one; small changes throughout to fit space constraints; corrects error in vii) about spin-up/down

References in corpus (9)

• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• Inspiral, merger and ringdown of unequal mass black hole binaries: a multipolar analysis
• Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
• Recoil velocities from equal-mass binary black-hole mergers: a systematic investigation of spin-orbit aligned configurations
• Estimating the final spin of a binary black hole coalescence
• Spin Flips and Precession in Black-Hole-Binary Mergers
• High-spin binary black hole mergers
• Binary Black Holes: Spin Dynamics and Gravitational Recoil
• Final spin of a coalescing black-hole binary: an Effective-One-Body approach

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