A new proof of the Bianchi type IX attractor theorem
- Author(s)
- Johannes Markus Heinzle, Claes Uggla
- Abstract
We consider the dynamics toward 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.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Karlstad University
- Journal
- Classical and Quantum Gravity
- Volume
- 26
- No. of pages
- 34
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.1088/0264-9381/26/7/075015
- Publication date
- 2009
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103019 Mathematical physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/9fffd6ab-17d4-4bce-8c80-fe1d494c14e5