On the exact solutions of the Bianchi IX cosmological model in the proper time

Details On the exact solutions of the Bianchi IX cosmological model in the proper time On the exact solutions of the Bianchi IX cosmological model in the proper time

1998-04-08

arxiv.org/abs/solv-int/9804008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, no figure, standard Latex, to appear in Regular and chaotic dynamics (1998)

Scientific paper

It has recently been argued that there might exist a four-parameter analytic
solution to the Bianchi IX cosmological model, which would extend the
three-parameter solution of Belinskii et al. to one more arbitrary constant.
We perform the perturbative Painlev\'e test in the proper time variable, and
confirm the possible existence of such an extension.

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