Abstract
Due to cosmic structures in the Universe, the inhomogeneities influence the evolution of the background Universe. To characterize this influence, we extend the Kullback-Leibler relative entropy in information theory to cosmology. We study the relation between the relative entropy and the averaging problem in the perturbed Universe, and explore the temporal evolution in linear cosmological perturbation theory and beyond. The possible relationship of the relative entropy and the Weyl tensor is also discussed briefly.
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