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arXiv 1306.5131astro-ph.COgr-qc
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大空洞宇宙中密度扰动的两点关联函数

Two-point correlation function of density perturbations in a large void universe

Ryusuke Nishikawa, Chul-Moon Yoo, Ken-ichi Nakao

摘要:

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,我们计算的两点关联函数,并表明它有一个局部各向异性在偏离中心的位置不同于均匀和各向同性的宇宙。这种各向异性是由球形空洞偏心区域的潮汐力引起的。由于均匀宇宙和各向同性宇宙中不存在潮汐力,我们可以通过观察两点星系关联函数的统计畸变来检验非均匀宇宙。

英文摘要:

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 non-linear 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 universes. 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 universes, we may test the inhomogeneous universe by observing statistical distortion of the two-point galaxy correlation function.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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