The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable

1994/09/13 by A. ~Latifi, ~Latifi, A., M. ~Musette +3
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9409025

14 pages, no figures

arxiv created 1994/09/13 · arxiv updated 2009/11/30

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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