Mixmaster Chaos via the Invariant Measure

Abstract

The chaoticity of the Mixmaster is discussed in the framework of Statistical Mechanics by using Misner--Chitre-like variables and an ADM reduction of its dynamics. We show that such a system is well described by a microcanonical ensemble whose invariant measure is induced by the corresponding Liouville one and is uniform. The covariance with respect to the choice of the temporal gauge of the obtained invariant measure is outlined.

arXiv comment3 pages, 1 figure, proceedings of the X Marcel Grossmann Meeting 22-26 July, 2003, Rio de Janeiro