Kasner asymptotics of mixmaster Horava-Witten cosmology

Bianchi type I and type IX ('Mixmaster') geometries are investigated within the framework of Horava-Witten cosmology. We consider the models for which the fifth coordinate is a S-1/Z(2) orbifold while the four coordinates an 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 Ui field equations, We are able to recover the isotropic 3-space solutions found by Lukas ct al. [10]. Finally, we discuss if such Bianchi LY configuration can result in chaotic behaviour of these Horava-Witten cosmologies. (C) 2000 Published by Elsevier Science B.V. All rights reserved.