2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216191We 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 correctedGeneral Relativity and Quantum CosmologyMathematical Physicstext