gr-qc

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Title:Information Entropy in Cosmology

Abstract: The effective evolution of an inhomogeneous cosmological model may be described in terms of spatially averaged variables. We point out that in this context, quite naturally, a measure arises which is identical to a fluid model of the Kullback-Leibler Relative Information Entropy', expressing the distinguishability of the local inhomogeneous mass density field from its spatial average on arbitrary compact domains. We discuss the time-evolution of effective information' and explore some implications. We conjecture that the information content of the Universe -- measured by Relative Information Entropy of a cosmological model containing dust matter -- is increasing.
 Comments: LateX, PRLstyle, 4 pages; to appear in PRL Subjects: General Relativity and Quantum Cosmology (gr-qc); Astrophysics (astro-ph) Journal reference: Phys.Rev.Lett. 92 (2004) 141302 DOI: 10.1103/PhysRevLett.92.141302 Cite as: arXiv:gr-qc/0402076 (or for this version)

Submission history

From: Thomas Buchert [view email]
[v1] Tue, 17 Feb 2004 05:09:54 UTC (9 KB)