The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable

Details The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable

1994-09-13

arxiv.org/abs/gr-qc/9409025v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, no figures

Scientific paper

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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