THE BIANCHI-IX (MIXMASTER) COSMOLOGICAL MODEL IS NOT INTEGRABLE

被引：54

作者：

LATIFI, A

MUSETTE, M

CONTE, R

机构：

[1] VRIJE UNIV BRUSSELS,DIENST THEORET NAT,B-1050 BRUSSELS,BELGIUM

[2] CEA,CTR ETUDES SACLAY,SERV PHYS ETAT CONDENSE,F-91191 GIF SUR YVETTE,FRANCE

来源：

PHYSICS LETTERS A | 1994年 / 194卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(94)00732-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 Painleve test; this proves the inexistence of any vacuum solution other than the three known ones.

引用

页码：83 / 92

页数：10

共 44 条

[1] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .2. [J].