Belinskii-Zakharov Formulation for Bianchi models and Painleve III Equation

Details Belinskii-Zakharov Formulation for Bianchi models and Painleve III Equation Belinskii-Zakharov Formulation for Bianchi models and Painleve III Equation

2000-02-15

arxiv.org/abs/math-ph/0002037v1

Physics

Mathematical Physics

12 pages

Scientific paper

10.1063/1.533377

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.

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