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arxiv: astro-ph/0102067 · v1 · submitted 2001-02-05 · 🌌 astro-ph · gr-qc

On the Covariance of the Mixmaster Chaoticity

classification 🌌 astro-ph gr-qc
keywords billiardmixmasteranalyzeapproacharnowitt-deser-misnerasymptoticbasechaoticity
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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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