On the Covariance of the Mixmaster Chaoticity

Details On the Covariance of the Mixmaster Chaoticity On the Covariance of the Mixmaster Chaoticity

2001-02-05

arxiv.org/abs/astro-ph/0102067v1

Phys.Rev. D63 (2001) 103501

Astronomy and Astrophysics

Astrophysics

11 pages, accepted Phys. Rev. D (Jan 2001)

Scientific paper

10.1103/PhysRevD.63.103501

We analyze the dynamics of the Mixmaster Universe on the base of a standard Arnowitt-Deser-Misner Hamiltonian approach showing how its asymptotic evolution to the cosmological singularity is isomorphic to a billiard on the Lobachevsky plane. The key result of our study consists in the temporary gauge invariance of the billiard representation, once provided the use of very general Misner-Chitre'-like variables.

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