Integrable and near-integrable dynamical systems associated with Bianchi IX metrics

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1994 English Publisher:Springer Science and Business Media LLCJournal:Theoretical and Mathematical Physics, volume 99, pages 790-795 (issn: 0040-5779, eissn: 1573-9333,

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Authors: Strachan, Ian A. B.;

doi: 10.1007/bf01017069

Integrable and near-integrable dynamical systems associated with Bianchi IX metrics

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Abstract

The author discusses the integrability of a dynamical system occuring in SU(2)-invariant Riemannian four-metrics. Such metrics are also known as Bianchi type IX metrics. Here the system of equations reduces to a system with one variable.

Keywords

Applications of differential geometry to physics, Applications of global analysis to the sciences, Bianchi type IX spacetimes, Einstein's equations (general structure, canonical formalism, Cauchy problems), integrability, dynamical system

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