Two-point correlation function of density perturbations in a large void universe
Abstract
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.
Keywords
Cite
@article{arxiv.1306.5131,
title = {Two-point correlation function of density perturbations in a large void universe},
author = {Ryusuke Nishikawa and Chul-Moon Yoo and Ken-ichi Nakao},
journal= {arXiv preprint arXiv:1306.5131},
year = {2013}
}
Comments
16 pages, 3 figures