A new proof of the Bianchi type IX attractor theorem

Autor(en)

Johannes Markus Heinzle, Claes Uggla

Abstrakt

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(en)

Gravitationsphysik

Externe Organisation(en)

Karlstad University

Journal

Classical and Quantum Gravity

Band

26

Anzahl der Seiten

34

ISSN

0264-9381

DOI

https://doi.org/10.1088/0264-9381/26/7/075015

Publikationsdatum

2009

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/9fffd6ab-17d4-4bce-8c80-fe1d494c14e5