Abstract

Abstract Recent work paints a conflicting portrait of the distribution of black hole spins in merging binaries measured with gravitational waves. Some analyses find that a significant fraction of merging binaries contain at least one black hole with a spin tilt >90° with respect to the orbital angular momentum vector, which has been interpreted as a signature for dynamical assembly. Other analyses find that the data are consistent with a bimodal population in which some binaries contain black holes with negligible spin while the rest contain black holes with spin vectors preferentially aligned with the orbital angular momentum vector. In this work, we scrutinize models for the distribution of black hole spins to pinpoint possible failure modes in which the model yields a faulty conclusion. We reanalyze data from the second LIGO–Virgo gravitational-wave transient catalog (GWTC-2) using a revised spin model, which allows for a subpopulation of black holes with negligible spins. In agreement with recent results by Roulet et al., we show that the GWTC-2 detections are consistent with two distinct subpopulations. We estimate that 69%–90% (90% credible interval) of merging binaries contain black holes with negligible spin χ ≈ 0. The remaining binaries are part of a second subpopulation in which the spin vectors are preferentially (but not exactly) aligned to the orbital angular momentum. The black holes in this second subpopulation are characterized by spins of χ ∼ 0.5. We suggest that the inferred spin distribution is consistent with the hypothesis that all merging binaries form via the field formation scenario.

Highlights

  • LIGO–Virgo gravitational-wave transient catalog (GWTC-2) using a revised spin model, which allows for a sub-population of black holes with negligible spins

  • Other analyses find the data are consistent with a bimodal population in which some binaries contain black holes with negligible spin while the rest contain black holes with spin vectors preferentially aligned with the orbital angular momentum vector

  • Inspired by Roulet et al (2021), we reanalyze the population of merging binary black holes from Abbott et al (2021b) using a revised model for the distribution of black hole spins designed to allow for a sub-population with negligible spin

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Summary

INTRODUCTION

Ments such as globular clusters and nuclear clusters; see Gravitational waves from merging binaries encode information about the mass and spin of the component black holes and/or neutron stars. Is chosen to be uniform, conditioned on χeff and subject to the constraint that χ1,2 ≤ 1 as required by general relativity.3 This leaves four degrees of freedom χix, χiy (where i = 1, 2), which are assumed to be uniformly distributed on a disk with radius 1 − χ2iz. Individual event posteriors computed using priors from different population models are represented with different colors: black is the fiducial LIGO–Virgo spin prior (uniform in χ1, χ2 with an isotropic prior for the spin directions), green is the population model from Roulet et al (2021), and pink is the Default model from Abbott et al (2021b) (averaged over the posterior on the population parameters).

DIAGNOSING LIMITATIONS OF THE
THE Extended MODEL
ANALYSIS
RESULTS
DISCUSSION
IMPLEMENTING THE Extended MODEL WITH ZERO-SPIN SAMPLES
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