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Bianchi Cosmologies as Dynamical Systems

Published online by Cambridge University Press:  12 April 2016

Andrzej J. Maciejewski and
Marek Szydłowski
Andrzej J. Maciejewski
Affiliation:
Toruń Centre for Astronomy, N. Copernicus University, Chopina 12/18, 87-100 Toruń, Poland; E-mail: maciejka@astri.uni.torun.pl
Marek Szydłowski
Affiliation:
Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Kraków, Poland; E-mail: uoszydlo@cyf-kr.edu.pl

Abstract

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We discuss specific properties of dynamical systems originating from cosmology and relativity. In particular, we present results of our study of the Bianchi class A cosmological models. We introduce new variables in which the Hamiltonian constraint for all the class A models is solved algebraically. We present results of dimension reduction of the investigated models.

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