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Painleve III Equation and Bianchi VII_0 Model

N. Manojlovic·A. Mikovic
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Abstract

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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N. Manojlovic, A. Mikovic. 2000-01-25. Painleve III Equation and Bianchi VII_0 Model. https://arxiv.org/abs/gr-qc/9908077

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