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arxiv: gr-qc/9409025 · v1 · submitted 1994-09-13 · 🌀 gr-qc

The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable

A.~Latifi (Universit\'e libre de Bruxelles) , M.~Musette (Vrije Universiteit Brussel) , R.~Conte (CEA , Centre d'\'etudes de Saclay) This is my paper
classification 🌀 gr-qc
keywords exactsolutionbianchiclosedcosmologicalessentialexhibitsform
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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 Painlev\'e test; this proves the inexistence of any vacuum solution other than the three known ones.

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