Local integrability of the mixmaster model.

Mathematics – Logic

Scientific paper

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Cosmological Models

Scientific paper

The authors study the mixmaster universe whose evolution is described by a polynomial Hamiltonian. They show that this model is locally integrable. The Taub solutions form an integrable subsystem. They show that there are no solutions of the mixmaster universe asymptotic to a partially isotropic gravitational collapse, that is, a collapse where two of the metric coefficients are always equal, other than the Taub solutions.

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