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arXiv · hep-th/9911217

Kasner Asymptotics of Horava-Witten Cosmology

Mariusz P. Dabrowski
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Abstract

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 $S^1/Z_2$ 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 Hořava-Witten cosmologies.

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Mariusz P. Dabrowski. 1999-11-26. Kasner Asymptotics of Horava-Witten Cosmology. https://doi.org/10.1016/s0370-2693(00)01297-1

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