Cosmological evolution of the gravitational entropy of the large-scale structure
Abstract
We consider the entropy associated with the large-scale structure of the Universe in the linear regime, where the Universe can be described by a perturbed Friedmann-Lema\^itre spacetime. In particular, we compare two different definitions proposed in the literature for the entropy using a spatial averaging prescription. For one definition, the entropy of the large-scale structure for a given comoving volume always grows with time, both for a CDM and a CDM model. In particular, while it diverges for a CDM model, it saturates to a constant value in the presence of a cosmological constant. The use of a light-cone averaging prescription in the context of the evaluation of the entropy is also discussed.
Keywords
Cite
@article{arxiv.1501.04906,
title = {Cosmological evolution of the gravitational entropy of the large-scale structure},
author = {Giovanni Marozzi and Jean-Philippe Uzan and Obinna Umeh and Chris Clarkson},
journal= {arXiv preprint arXiv:1501.04906},
year = {2015}
}
Comments
10 pages, 4 figures. Presentation improved, typos corrected, previous subsection III.B merged with subsection II.C, comments, clarifications and a reference added. Version accepted for publication in GRG