The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable
arXiv:chao-dyn/9409002 · doi:10.1016/0375-9601(94)00732-5
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.
14 pages, no figures
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