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arXiv 1507.05587gr-qcastro-ph.HE
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用引力波特征区分黑洞自旋轨道共振。II:全参数估计

Distinguishing black-hole spin-orbit resonances by their gravitational wave signatures. II: Full parameter estimation

Daniele Trifirò, Richard O'Shaughnessy, Davide Gerosa, Emanuele Berti, Michael Kesden, Tyson Littenberg, Ulrich Sperhake

摘要:

合并中的双黑洞产生的引力波在合并前对它们的自旋演化进行了编码。在后牛顿体系和旋进时间尺度上,这种演化有三种形态之一,自旋要么围绕两个固定点之一振动(“共振”),要么自由循环。在这项工作中,我们进行完整的参数估计共振双星固定的质量和自旋幅度,改变三个参数:保守的“投影有效自旋”$ξ$和共振家庭$ΔΦ=0,π$(唯一标记的源),倾斜$θ_{JN}$的二进制的总角动量相对于视线(这决定了强度的进动效应的波形),和信号幅度。我们证明,共振可以区分为广泛的二进制文件,除了高度对称的配置,岁差效应被抑制。基于对双自旋演化的新认识,我们引入了新的变量来表征进动黑洞双星,这自然反映了系统的时间尺度分离,从而更好地编码了引力波所携带的动力学信息.

英文摘要:

Gravitational waves from coalescing binary black holes encode the evolution of their spins prior to merger. In the post-Newtonian regime and on the precession timescale, this evolution has one of three morphologies, with the spins either librating around one of two fixed points ("resonances") or circulating freely. In this work we perform full parameter estimation on resonant binaries with fixed masses and spin magnitudes, changing three parameters: a conserved "projected effective spin" $ξ$ and resonant family $ΔΦ=0,π$ (which uniquely label the source), the inclination $θ_{JN}$ of the binary's total angular momentum with respect to the line of sight (which determines the strength of precessional effects in the waveform), and the signal amplitude. We demonstrate that resonances can be distinguished for a wide range of binaries, except for highly symmetric configurations where precessional effects are suppressed. Motivated by new insight into double-spin evolution, we introduce new variables to characterize precessing black hole binaries which naturally reflects the timescale separation of the system and therefore better encode the dynamical information carried by gravitational waves.

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