Mixmaster Horava-Witten Cosmology

Abstract

We discuss various superstring effective actions and, in particular, their common sector which leads to the so-called pre-big-bang cosmology (cosmology in a weak coupling limit of heterotic superstring). Then, we review the main ideas of the Horava-Witten theory which is a strong coupling limit of heterotic superstring theory. Using the conformal relationship between these two theories we present Kasner asymptotic solutions of Bianchi type IX geometries within these theories and make predictions about possible emergence of chaos. Finally, we present a possible method of generating Horava-Witten cosmological solutions out of the well-known general relativistic pre-big-bang solutions.Comment: 7 pages, 2 figures, based on the talks given at Marcel Grossmann Meeting IX, Rome 2000 and at "Supersymmetry and Quantum Field Theory" (D.V. Volkov Memorial), Kharkov 2000, espcrc2.sty include