Painleve III Equation and Bianchi VII_0 Model
General Relativity and Quantum Cosmology
2009-01-16 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.gr-qc/9908077,
title = {Painleve III Equation and Bianchi VII_0 Model},
author = {N. Manojlovic and A. Mikovic},
journal= {arXiv preprint arXiv:gr-qc/9908077},
year = {2009}
}
Comments
30 pages, some typos corrected