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

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

doi:10.1007/s10714-015-1955-8

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

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

Institute of Cosmology & Gravitation

Research output: Contribution to journal › Article › peer-review

103 Downloads (Pure)

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 $\Lambda$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.

Original language	English
Article number	114
Journal	General Relativity and Gravitation
Volume	47
Issue number	10
DOIs	https://doi.org/10.1007/s10714-015-1955-8
Publication status	Published - 5 Sept 2015

Keywords

gr-qc
astro-ph.CO
hep-th

Access to Document

10.1007/s10714-015-1955-8

Cosmological evolution
This is a post-peer-review, pre-copyedit version of an article published in General Relativity and Gravitation. The final authenticated version is available online at: http://dx.doi.org/10.1007%2Fs10714-015-1955-8.
Accepted author manuscript (Post-print), 734 KB

Cite this

@article{3bf421302d42493c852a5332274a0eda,

title = "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 $\Lambda$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 = "gr-qc, astro-ph.CO, hep-th",

author = "Giovanni Marozzi and Jean-Philippe Uzan and Obinna Umeh and Chris Clarkson",

note = "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",

year = "2015",

month = sep,

day = "5",

doi = "10.1007/s10714-015-1955-8",

language = "English",

volume = "47",

journal = "General Relativity and Gravitation",

issn = "0001-7701",

publisher = "Springer New York",

number = "10",

}

TY - JOUR

T1 - Cosmological evolution of the gravitational entropy of the large-scale structure

AU - Marozzi, Giovanni

AU - Uzan, Jean-Philippe

AU - Umeh, Obinna

AU - Clarkson, Chris

N1 - 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

PY - 2015/9/5

Y1 - 2015/9/5

N2 - 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 $\Lambda$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.

AB - 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 $\Lambda$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.

KW - gr-qc

KW - astro-ph.CO

KW - hep-th

U2 - 10.1007/s10714-015-1955-8

DO - 10.1007/s10714-015-1955-8

M3 - Article

SN - 0001-7701

VL - 47

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 10

M1 - 114

ER -

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this