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Kullback–Leibler entropy and Penrose conjecture in the Lemaître–Tolman–Bondi model

By China Shenyang 110819 Northeastern University College of Sciences NanDepartment of Physics Li, China) Shenyang 110819 Northeastern University College of Sciences Xiao-Long(Department of Physics Li and China) Shenyang 110819 Northeastern University College of Sciences Shu-Peng(Department of Physics Song

Abstract

Our universe hosts various large-scale structures from voids to galaxy clusters, so it would be interesting to find some simple and reasonable measure to describe the inhomogeneities in the universe. We explore two different methods for this purpose: the Kullback–Leibler entropy and the Weyl curvature tensor. These two quantities characterize the deviation of the actual distribution of matter from the unperturbed background. We calculate these two measures in the spherically symmetric Lemaître–Tolman–Bondi model in the dust universe. Both exact and perturbative calculations are presented, and we observe that these two measures are in proportion up to second order

Year: 2015
DOI identifier: 10.1140/epjc/s10052-015-3334-8
OAI identifier: oai:www.openaccessrepository.it:13702

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