The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Keywords

General Relativity and Quantum Cosmology

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/35535

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9409025
 http://arxiv.org/abs/gr-qc/9409025

Collections

arXiv