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Cosmological evolution of the gravitational entropy of the large-scale structure

Marozzi, Giovanni ; Uzan, Jean-Philippe ; Umeh, Obinna ; Clarkson, Chris

In: General Relativity and Gravitation, 2015, vol. 47, no. 10, p. 1-19

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    Title
    • Cosmological evolution of the gravitational entropy of the large-scale structure
    Author
    • Marozzi, Giovanni. Département de Physique Théorique and CAP, Université de Genève, 24 quai Ernest-Ansermet, 1211, Geneve 4, Switzerland
    • Uzan, Jean-Philippe. CNRS-UMR 7095, Institut d'Astrophysique de Paris, Université Pierre & Marie Curie - Paris VI, 98 bis, Bd Arago, 75014, Paris, France
    • Umeh, Obinna. Department of Physics, University of the Western Cape, 7535, Cape Town, South Africa
    • Clarkson, Chris. Department of Mathematics and Applied Mathematics, Astrophysics, Cosmology and Gravity Centre, University of Cape Town, 7701, Cape Town, South Africa
    Document Type
    • Postprint
    Language
    • English
    Published in
    • General Relativity and Gravitation, 2015, vol. 47, no. 10, p. 1-19. Springer US; http://www.springer-ny.com
    Other Version
    OAI-PMH Identifier
    • oai:doc.rero.ch:331334
    Summary
    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-Lemaître 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 $$\Lambda $$ Λ 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.