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The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable

A. Latifi·M. Musette·R. Conte
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Abstract

The perturbation of an exact solution exhibits a movable transcendental essential singularity, thus proving the nonintegrability. Then, all possible exact particular solutions which may be written in closed form are isolated with the perturbative Painlevé test; this proves the inexistence of any vacuum solution other than the three known ones.

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A. Latifi, M. Musette, R. Conte. 1994-09-13. The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable. https://doi.org/10.1016/0375-9601(94)00732-5

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