Phys. Rev. D 63, 103501 (2001) [5 pages]

Covariance of the mixmaster chaoticity

Abstract

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Giovanni Imponente^* and Giovanni Montani^†
ICRA, International Center for Relativistic Astrophysics, Physics Deptartment, University of Rome “La Sapienza,” piazzale Aldo Moro 5, 00185 Roma, Italy

Received 18 October 2000; published 30 March 2001

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

URL:

http://link.aps.org/doi/10.1103/PhysRevD.63.103501

DOI:

10.1103/PhysRevD.63.103501

PACS:

98.80.Hw, 04.20.Jb

^*Email address: imponente@icra.it

^†Email address: montani@icra.it

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Phys. Rev. D 63, 103501 (2001) [5 pages]

Covariance of the mixmaster chaoticity