论文标题
分析天体物理重力波源的聚类：光度距离空间扭曲
Analyzing clustering of astrophysical gravitational-wave sources: Luminosity-distance space distortions
论文作者
论文摘要
我们提出了三维空间中观察到的重力波（GW）源的数量密度波动的公式。在GW观察中，每个GW来源的红移识别是一个具有挑战性的问题，特别是对于高红移来源而言。使用观察到的光度距离作为距离指示器将是测量聚类信号的简单而最佳的方法。我们得出了从观察到的每个源的光度距离和天空位置估计的GW源的密度波动。密度波动被扭曲为类似于星系调查中所谓的红移空间扭曲，但有几种差异。然后，在存在失真效果的情况下，我们显示了两点相关函数和多极功率谱。我们发现，镜头收敛的视线导数不会出现在红移空间变形中，从而导致观察到的相关函数显着扭曲。另外，镜头效应会影响高红移时高阶多极功率谱及其信噪比。
We present a formulation of observed number density fluctuations of gravitational-wave (GW) sources in a three dimensional space. In GW observations, redshift identification for each GW source is a challenging issue, in particular, for high redshift sources. The use of observed luminosity distance as a distance indicator will be a simple yet optimal way for measuring the clustering signal. We derive the density fluctuations of GW sources estimated from observed luminosity distance and sky position of each source. The density fluctuations are distorted as similar to the so-called redshift space distortions in galaxy surveys but with several differences. We then show the two-point correlation function and multipole power spectrum in the presence of the distortion effect. We find that the line-of-sight derivative of the lensing convergence, which does not appear in the redshift-space distortions, leads to significant distortions in the observed correlation function. In addition, the lensing effect affects higher-order multipole power spectra and its signal-to-noise at high redshifts.
