Where angular momentum goes in a precessing black hole binary

TL;DR

This study uses numerical simulations of equal-mass, highly spinning black-hole binaries to analyze angular momentum transfer during merger, revealing that radiated angular momentum follows orbital angular momentum and that total angular momentum direction remains relatively stable.

Contribution

It provides new insights into angular momentum dynamics in precessing black-hole binaries, especially regarding the conservation of the angle between total spin and orbital angular momentum.

Findings

Radiated angular momentum approximately follows orbital angular momentum.

The angle between orbital and total spin remains within 1 degree during evolution.

Total angular momentum direction varies less than 5 degrees, with larger variations near anti-aligned spins.

Abstract

We evolve a set of 32 equal-mass black-hole binaries with collinear spins (with intrinsic spin magnitudes $|\vec{S}_{1,2}/m^2_{1,2}|=0.8$) to study the effects of precession in the highly nonlinear plunge and merger regimes. We compare the direction of the instantaneous radiated angular momentum, $\hat{\delta J}_{\rm rad}(t)$, to the directions of the total angular momentum, $\hat{J}(t)$, and the orbital angular momentum, $\hat{L}(t)$. We find that $\hat{\delta J}_{\rm rad}(t)$ approximately follows $\hat{L}$ throughout the evolution. During the orbital evolution and merger, we observe that the angle between $\vec{L}$ and total spin $\vec{S}$ is approximately conserved to within $1^\circ$, which allows us to propose and test models for the merger remnant's mass and spin. For instance, we verify that the \hangup effect is the dominant effect and largely explains the observed total energy and angular momentum radiated by these precessing systems. We also verify that the total angular momentum, which significantly decreases in magnitude during the inspiral, varies in direction by less than $\sim 5^\circ$. The maximum variation in the direction of $\vec J$ occurs when the spins are nearly antialigned with the orbital angular momentum. Based on our results, we conjecture that transitional precession, which would lead to large variations in the direction of $\vec J$, is not possible for similar-mass binaries and would require a mass ratio $m_1/m_2\lesssim1/4$.