On the Covariance of the Mixmaster Chaoticity

Preprint

5 February 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.astro-ph/0102067

Abstract

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.

Keywords

MIXMASTER CHAOTICITY
MIXMASTER UNIVERSE
TEMPORARY GAUGE
ARNOWITT DESER
SINGULARITY
COVARIANCE
EVOLUTION
BILLIARD
MISNER

All Related Versions

Version 1, 2001-02-05, ArXiv
Published version: Physical Review D, 63 (10), 103501.

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