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We analyze two volume limited galaxy samples from the SDSS photometric andspectroscopic data to test the isotropy in the local Universe. We useinformation entropy to quantify the global anisotropy in the galaxydistribution at different length scales and find that the galaxy distributionis highly anisotropic on small scales. The observed anisotropy diminishes withincreasing length scales and nearly plateaus out beyond a length scale of 200Mpc/h in both the datasets. We compare these anisotropies with those predictedby the mock catalogues from the N-body simulations of the Lambda CDM model andfind a fairly good agreement with the observations. We find a small residualanisotropy on large scales which decays in a way that is consistent with thelinear perturbation theory. The slopes of the observed anisotropy converge tothe slopes predicted by the linear theory beyond a length scale of ~ 200 Mpc/hindicating a transition to isotropy. We separately compare the anisotropiesobserved across the different parts of the sky and find no evidence for apreferred direction in the galaxy distribution.

Testing isotropy in the Universe using photometric and spectroscopic data from the SDSS