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

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...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2013-12, Vol.88 (12), Article 123520
Main Authors: Nishikawa, Ryusuke, Yoo, Chul-Moon, Nakao, Ken-ichi
Format: Article
Language:English
Subjects:
Anisotropy
Correlation
Density
Mathematical models
Nonlinearity
Perturbation methods
Universe
Voids
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Summary: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.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.88.123520