论文标题

长长的紧凑型二进制的偏心率在黑暗的警报器上亮着

Eccentricity of Long Inspiraling Compact Binaries Sheds Light on Dark Sirens

论文作者

Yang, Tao, Cai, Rong-Gen, Cao, Zhoujian, Lee, Hyung Mok

论文摘要

重力波的定位和距离推断是黑暗警笛的两个关键因素,作为宇宙学,天体物理学和基本物理学的精确探针。在这封信中,我们首次研究了中频(0.1---10 Hz)带中偏心的紧凑型二进制物发出的重力波的参数估计。基于一个decigo(b-decigo)群的配置,我们在GWTC-3中模拟了五种类型的典型紧凑型二进制文件,其中组件质量范围从$ \ Mathcal {o}(1 \ sim100)〜m _ {\ odot} $。对于每种类型的二进制文件,我们在$ 10^3 $随机方向下为0.1 Hz分配离散偏心率。偏心率引起的多重谐波会破坏参数之间的变性。我们发现,对于偏心$ e_0 = 0.4 $,这些典型的二进制文件可以实现$ \ natercal {o}(10^2-10^4)$改进近面向方向的距离推断与圆形情况相比。更重要的是,非偏僻的偏心度($ 0.01 \ sim0.4 $)可以显着改善典型二进制黑洞的源定位,大多数$ 1.5 \ sim {3.5} $数量级。我们的结果表明,作为宇宙的精确探针,偏心率对黑暗警报的显着意义。

The localization and distance inference of gravitational waves are two crucial factors for dark sirens as precise probes of cosmology, astrophysics, and fundamental physics. In this Letter, for the first time we investigate the parameter estimation of gravitational waves emitted by the eccentric compact binaries in the mid-frequency (0.1--10 Hz) band. Based on the configuration of one cluster of DECIGO (B-DECIGO), we simulate five types of typical compact binaries in GWTC-3 with component mass ranging from $\mathcal{O}(1\sim100)~M_{\odot}$. For each type of binaries, we assign discrete eccentricities from 0 to 0.4 at 0.1 Hz in $10^3$ random orientations. The multiple harmonics induced by eccentricity can break the degeneracy between parameters. We find that with eccentricity $e_0=0.4$, these typical binaries can achieve $\mathcal{O}(10^2-10^4)$ improvement for the distance inference in the near face-on orientations, compared to the circular case. More importantly, a nonvanishing eccentricity ($0.01\sim0.4$) can significantly improve the source localization of the typical binary black holes, most by $1.5\sim{3.5}$ orders of magnitude. Our result shows the remarkable significance of eccentricity for dark sirens in the mid-band as precise probes of the Universe.

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