The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable
chao-dyn
2015-06-24 v1 Chaotic Dynamics
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 Painlev\'e test; this proves the inexistence of any vacuum solution other than the three known ones.
Cite
@article{arxiv.chao-dyn/9409002,
title = {The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable},
author = {A. Latifi and M. Musette and R. Conte},
journal= {arXiv preprint arXiv:chao-dyn/9409002},
year = {2015}
}
Comments
14 pages, no figures