Two-point correlation function of density perturbations in a large void universe
Two-point correlation function of density perturbations in a large void universe
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大空宇宙中密度扰动的两点相关函数
DOI：
10.1103/physrevd.88.123520
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发表时间：
2013
影响因子：
5
通讯作者：
K. Nakao
中科院分区：
文献类型：
--
作者：
R. Nishikawa;C. M. Yoo;K. Nakao
本文研究了不采用哥白尼原理的球对称空宇宙模型中密度扰动的两点关联函数。首先，我们用非线性微扰理论的方法求解了非均匀宇宙模型中的微扰方程，得到了密度涨落。从所得到的解决方案，我们计算的两点相关函数，并表明它有一个局部各向异性的偏离中心的位置，不同于均匀和各向同性宇宙模型。这种各向异性是由球形空洞偏心区域的潮汐力引起的。由于均匀和各向同性宇宙模型中不存在潮汐力，因此我们可以通过观察两点星系相关函数的统计失真来测试非均匀宇宙。
We study the two-point correlation function of density perturbations in a spherically symmetric void universe model which does not employ the Copernican principle. First we solve perturbation equations in the inhomogeneous universe model and obtain density fluctuations by using a method of nonlinear perturbation theory which was adopted in our previous paper. From the obtained solutions, we calculate the two-point correlation function and show that it has a local anisotropy at the off-center position, differently from those in homogeneous and isotropic universe models. This anisotropy is caused by the tidal force in the off-center region of the spherical void. Since no tidal force exists in homogeneous and isotropic universe models, we may test the inhomogeneous universe by observing statistical distortion of the two-point galaxy correlation function.