On the Covariance of the Mixmaster Chaoticity
Astrophysics
2009-11-06 v1 General Relativity and Quantum Cosmology
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
Cite
@article{arxiv.astro-ph/0102067,
title = {On the Covariance of the Mixmaster Chaoticity},
author = {G. P. Imponente and G. Montani},
journal= {arXiv preprint arXiv:astro-ph/0102067},
year = {2009}
}
Comments
11 pages, accepted Phys. Rev. D (Jan 2001)