论文标题
星系密度 - 涡流相关性的相对论畸变：重力红移和特殊的速度效应
Relativistic distortions in galaxy density-ellipticity correlations: gravitational redshift and peculiar velocity effects
论文作者
论文摘要
我们研究了相对论效应，这是由于不均匀宇宙中的光传播引起的。我们特别研究了星系位置和固有星系形状（GI相关性）之间互相关功能的影响。考虑到多普勒和重力红移效应是主要的相对论效应，我们提出了GI相关函数的分析模型，从中我们发现相对论效应会诱导非衍生的奇数多极各向异性。我们特别关注偶极性各向异性，我们表明多普勒效应在大尺度上占主导地位，而重力红移效应源自光晕电位的占主导地位，低于$ 10 $ -30 \，{\ rm Mpc}/h $，均超过所有尺度。另外，我们新得出建模的GI偶极子的协方差矩阵。考虑到完整的协方差，我们估计了信噪比，并表明在未来的大批量星系调查中可以检测到相对论效应引起的GI偶极子。我们讨论了偶极gi相关性的测量如何与常规的星系 - 果横向相关性结合检测相对论效应。
We study relativistic effects, arising from the light propagation in an inhomogeneous universe. We particularly investigate the effects imprinted in a cross-correlation function between galaxy positions and intrinsic galaxy shapes (GI correlation). Considering the Doppler and gravitational redshift effects as major relativistic effects, we present an analytical model of the GI correlation function, from which we find that the relativistic effects induce non-vanishing odd multipole anisotropies. Focusing particularly on the dipole anisotropy, we show that the Doppler effect dominates at large scales, while the gravitational redshift effect originated from the halo potential dominates at the scales below $10$-$30\, {\rm Mpc}/h$, with the amplitude of the dipole GI correlation being positive over all the scales. Also, we newly derive the covariance matrix for the modelled GI dipole. Taking into account the full covariance, we estimate the signal-to-noise ratio and show that the GI dipole induced by the relativistic effects is detectable in future large-volume galaxy surveys. We discuss how the measurement of dipole GI correlation could be helpful to detect relativistic effects in combination with the conventional galaxy-galaxy cross correlation.
