Information Entropy in Cosmology

Details Information Entropy in Cosmology Information Entropy in Cosmology

2004-02-17

arxiv.org/abs/gr-qc/0402076v1

Phys.Rev.Lett. 92 (2004) 141302

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LateX, PRLstyle, 4 pages; to appear in PRL

Scientific paper

10.1103/PhysRevLett.92.141302

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.

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