Kasner Asymptotics of Horava-Witten Cosmology
Abstract
Bianchi type I and type IX ('Mixmaster') geometries are investigated within the framework of Ho\v{r}ava-Witten cosmology. We consider the models for which the fifth coordinate is a orbifold while the four coordinates are such that the 3-space is homogeneous and has geometry of Bianchi type I or IX while the rest six dimensions have already been compactified on a Calabi-Yau space. In particular, we study Kasner-type solutions of the Bianchi I field equations and discuss Kasner asymptotics of Bianchi IX field equations. We are able to recover the isotropic 3-space solutions found by Lukas {\it et al}. Finally, we discuss if such Bianchi IX configuration can result in chaotic behaviour of these Ho\v{r}ava-Witten cosmologies.
Keywords
Cite
@article{arxiv.hep-th/9911217,
title = {Kasner Asymptotics of Horava-Witten Cosmology},
author = {Mariusz P. Dabrowski},
journal= {arXiv preprint arXiv:hep-th/9911217},
year = {2009}
}
Comments
13 pages, 1 figure, uses REVTEX 3.0