Kasner Asymptotics of Horava-Witten Cosmology

Mariusz P. Dabrowski

Submitted on 26 November 1999


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 S1/Z2 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.


Comment: 13 pages, 1 figure, uses REVTEX 3.0

Subjects: High Energy Physics - Theory; Astrophysics; General Relativity and Quantum Cosmology