Kullback-Leibler entropy and Penrose conjecture in the Lemaitre-Tolman-Bondi model
arXiv:1411.4368 · doi:10.1140/epjc/s10052-015-3334-8
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 Lemaitre-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.
8 pages
References in corpus (14)
- Exact solution to the averaging problem in cosmology
- Light-cone averages in a swiss-cheese universe
- Scale dependence of cosmological backreaction
- The Possibility of Cosmic Acceleration via Spatial Averaging in Lemaitre-Tolman-Bondi Models
- On the curvature of the present-day Universe
- The influence of structure formation on the cosmic expansion
- Information Entropy in Cosmology
- Backreaction on the luminosity-redshift relation from gauge invariant light-cone averaging
- Cosmological Backreaction from Perturbations
- Observational constraints on the LLTB model
- Cosmic Inhomogeneities and the Average Cosmological Dynamics
- The cosmological backreaction: gauge (in)dependence, observers and scalars
- Thermodynamics and Lemaitre-Tolman-Bondi void models
- Relative information entropy of an inhomogeneous universe