Painleve III Equation and Bianchi VII_0 Model
Abstract
Description
We examine the reduced phase space of the Bianchi VII_0 cosmological model, including the moduli sector. We show that the dynamics of the relevant sector of local degrees of freedom is given by a Painleve III equation. We then obtain a zero-curvature representation of this Painleve III equation by applying the Belinskii-Zakharov method to the Bianchi VII_0 model.
30 pages, some typos corrected
30 pages, some typos corrected