Painleve III Equation and Bianchi VII_0 Model

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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30 pages, some typos corrected

Scientific paper

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.

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