Rochester Institute of Technology

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Exploring the small mass ratio binary black hole merger via Zeno's dichotomy approach
By Carlos O. Lousto, James Healy
(Wednesday, September 16, 2020)

Abstract

We perform a sequence of binary black hole simulations with increasingly small mass ratios, reaching to a 128:1 binary that displays 13 orbits before merger. Based on a detailed convergence study of the q=m1/m2=1/15 nonspinning case, we apply additional mesh refinements levels around the smaller hole horizon to reach successively the q=1/32, q=1/64, and q=1/128 cases. Roughly a linear computational resources scaling with 1/q is observed on 8-nodes simulations. We compute the remnant properties of the merger: final mass, spin, and recoil velocity, finding precise consistency between horizon and radiation measures. We also compute the gravitational waveforms: its peak frequency, amplitude, and luminosity. We compare those values with predictions of the corresponding phenomenological formulas, reproducing the particle limit within 2%, and we then use the new results to improve their fitting coefficients.

CCRG Authors

Healy, JamesLousto, Carlos O.