论文标题

广义进动参数$χ_\ mathrm {p} $解释引力波数据

A generalized precession parameter $χ_\mathrm{p}$ to interpret gravitational-wave data

论文作者

Gerosa, Davide, Mould, Matthew, Gangardt, Daria, Schmidt, Patricia, Pratten, Geraint, Thomas, Lucy M.

论文摘要

有效的进动参数$χ_\ Mathrm {p} $最初是为波形近似值设计的,是最常用的数量,用于表征黑孔二进制二进制聚集的引力波观测中自旋尖端效应。我们指出,$χ_\ Mathrm {p} $的当前定义保留了一些(但不是全部)在进动时间表上进行的变化。我们纠正了这种不一致,并提出了更一般的定义,这些定义要么完全考虑或完全平均这些振荡。我们的广义参数$χ_\ mathrm {p} \ in [0,2] $呈现一个独家区域$χ_\ mathrm {p}> 1 $,只能由带有两个预旋转旋转的二进制文件填充。我们将处方应用于当前的Ligo/处女座事件,发现$χ_\ Mathrm {P} $的后验分布倾向于在更大的值下显示更长的尾巴。这似乎是一项通用功能,这意味着(i)当前$χ_\ mathrm {p} $测量错误可能被低估了,但也表明(ii)当前数据中旋转进动的证据可能比以前推断出的更强。在迄今为止发布的引力波事件中,显示最引人注目的行为是GW190521。

Originally designed for waveform approximants, the effective precession parameter $χ_\mathrm{p}$ is the most commonly used quantity to characterize spin-precession effects in gravitational-wave observations of black-hole binary coalescences. We point out that the current definition of $χ_\mathrm{p}$ retains some, but not all, variations taking place on the precession timescale. We rectify this inconsistency and propose more general definitions that either fully consider or fully average those oscillations. Our generalized parameter $χ_\mathrm{p}\in[0,2]$ presents an exclusive region $χ_\mathrm{p}>1$ that can only be populated by binaries with two precessing spins. We apply our prescriptions to current LIGO/Virgo events and find that posterior distributions of $χ_\mathrm{p}$ tend to show longer tails at larger values. This appears to be a generic feature, implying that (i) current $χ_\mathrm{p}$ measurement errors might be underestimated, but also that (ii) evidence for spin precession in current data might be stronger than previously inferred. Among the gravitational-wave events released to date, that which shows the most striking behavior is GW190521.

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