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On the equal-mass limit of precessing black-hole binaries

Authors: Davide Gerosa; Davide Gerosa; Ulrich Sperhake; Ulrich Sperhake; Ulrich Sperhake; Jakub Vošmera;

On the equal-mass limit of precessing black-hole binaries

Abstract

We analyze the inspiral dynamics of equal-mass precessing black-hole binaries using multi-timescale techniques. The orbit-averaged post-Newtonian evolutionary equations admit two constants of motion in the equal-mass limit, namely the magnitude of the total spin $S$ and the effective spin $��$. This feature makes the entire dynamics qualitatively different compared to the generic unequal-mass case, where only $��$ is constant while the variable $S$ parametrizes the precession dynamics. For fixed individual masses and spin magnitudes, an equal-mass black-hole inspiral is uniquely characterized by the two parameters $(S,��)$: these two numbers completely determine the entire evolution under the effect of radiation reaction. In particular, for equal-mass binaries we find that (i) the black-hole binary spin morphology is constant throughout the inspiral, and that (ii) the precessional motion of the two black-hole spins about the total spin takes place on a longer timescale than the precession of the total spin and the orbital plane about the total angular momentum.

13 pages, 1 figure, accepted for publication in CQG

Countries
United States, Italy, United Kingdom
Keywords

High Energy Astrophysical Phenomena (astro-ph.HE), FOS: Physical sciences, black holes; gravitational waves; post-Newtonian theory;, General Relativity and Quantum Cosmology (gr-qc), 530, Astrophysics - Astrophysics of Galaxies, black holes, General Relativity and Quantum Cosmology, post-Newtonian theory, gravitational waves, Astrophysics of Galaxies (astro-ph.GA), Astrophysics - High Energy Astrophysical Phenomena, black holes, gravitational waves, general relativity, relativistic astrophysics

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    Top 10%
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Average
Top 10%
Green
hybrid