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.

16 pages, 3 figures

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Cited by in corpus (5)

• Evolution of linear perturbations in Lemaître-Tolman-Bondi void models
• Comparison of two approximation schemes for solving perturbations in a LTB cosmological model
• Newtonian self-gravitating system in a relativistic huge void universe model
• Analysis of Cosmological Generalized Reduced Void Probability Functions Constrained by Observations and Numerical Simulations
• The gravitational wave background induced by nonlinear interactions between isotropic inhomogeneities and anisotropic inhomogeneous density perturbations