Belinskii-Zakharov Formulation for Bianchi models and Painleve III Equation
Mathematical Physics
2013-03-15 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
We show that \a < 0, \b > 0, \g=\d=0 Painleve III equation arises as a zero-curvature condition in the Belinskii-Zakharov inverse-scattering formulation for Bianchi cosmological models. For special values of the parameters this Painleve III equation becomes the dynamical equation for Bianchi I, II, VI_0 and VII_0 models.
Keywords
Cite
@article{arxiv.math-ph/0002037,
title = {Belinskii-Zakharov Formulation for Bianchi models and Painleve III Equation},
author = {Nenad Manojlovic and Aleksandar Mikovic},
journal= {arXiv preprint arXiv:math-ph/0002037},
year = {2013}
}
Comments
12 pages