Kasner Asymptotics of Horava-Witten Cosmology

Details Kasner Asymptotics of Horava-Witten Cosmology Kasner Asymptotics of Horava-Witten Cosmology

1999-11-26

arxiv.org/abs/hep-th/9911217v1

Phys.Lett. B474 (2000) 52-57; Phys.Lett. B496 (2000) 226

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 1 figure, uses REVTEX 3.0

Scientific paper

10.1016/S0370-2693(00)01297-1

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 $S^1/Z_2$ 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.

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