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 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.
