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A new proof of the Bianchi type IX attractor theorem
Karlstad University, Faculty of Technology and Science. (Fysik)
2009 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 26, no 7, 1-28 p.Article in journal (Refereed) Published
Abstract [en]

We consider the dynamics towards the initial singularity of Bianchi type IX vacuum and orthogonal perfect fluid models with a linear equation of state. The `Bianchi type IX attractor theorem' states that the past asymptotic behavior of generic type IX solutions is governed by Bianchi type I and II vacuum states (Mixmaster attractor). We give a comparatively short and self-contained new proof of this theorem. The proof we give is interesting in itself, but more importantly it illustrates and emphasizes that type IX is special, and to some extent misleading when one considers the broader context of generic models without symmetries

Place, publisher, year, edition, pages
2009. Vol. 26, no 7, 1-28 p.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-9842DOI: 10.1088/0264-9381/26/7/075015OAI: oai:DiVA.org:kau-9842DiVA: diva2:493349
Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2014-01-02Bibliographically approved

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