Kasner asymptotics of mixmaster Hořava-Witten cosmology

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Bianchi type I and type IX ('Mixmaster') geometries are investigated within the framework of Hořava-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 et al. [10] . Finally, we discuss if such Bianchi IX configuration can result in chaotic behaviour of these Hořava-Witten cosmologies.

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