Analytic integrability of the Bianchi class A cosmological models with 0⩽k<1

Antoni Ferragut, Jaume Llibre and Chara Pantazi

Chaos, Solitons & Fractals, 2013, vol. 48, issue C, 12-21

Abstract: Many works study the integrability of the Bianchi class A cosmologies with k=1, where k is the ratio between the pressure and the energy density of the matter. Here we characterize the analytic integrability of the Bianchi class A cosmological models when 0⩽k<1. We conclude that Bianchi types VI0, VII0, VIII and IX can exhibit chaos whereas Bianchi type I is not chaotic and Bianchi type II is at most partially chaotic.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:48:y:2013:i:c:p:12-21

DOI: 10.1016/j.chaos.2012.12.007

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