CHAOS IN CLASSICAL COSMOLOGY

被引：23

作者：

BLANCO, S ^{[1
]}

DOMENECH, G ^{[1
]}

ELHASI, C ^{[1
]}

机构：

[1] INST ASTRON & FIS ESPACIO,RA-1428 BUENOS AIRES,DF,ARGENTINA

来源：

GENERAL RELATIVITY AND GRAVITATION | 1994年 / 26卷 / 11期

关键词：

D O I：

10.1007/BF02108938

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the dynamics of a Friedmann-Robertson-Walker universe conformally coupled to a real, self-interacting, massive scalar field. We apply a full set of tools corresponding to dynamical system theory: fixed points, linear stability analysis, resonances study and numerical evaluation of Poincare sections of the dynamical flux. We can conclude that the chaotic behaviour is possible in the very early universe. In the case of a spatially closed universe we show that the route to chaos is reached by successive breaking of the resonant tori due to the action of 1:1 resonances.

引用

页码：1131 / 1143

页数：13

共 14 条

[1] THE PHASE-SPACE VIEW OF INFLATION .1. THE NONMINIMALLY COUPLED SCALAR FIELD [J].

AMENDOLA, L ;

LITTERIO, M ;

OCCHIONERO, F .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1990, 5 (20) :3861-3886

[2]

[Anonymous], 1989, CHAOS INTEGRABILITY

[3] CHAOTIC BEHAVIOR IN GENERAL-RELATIVITY [J].

BARROW, JD .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1982, 85 (01) :1-49

[4] INFLATIONARY STAGES IN COSMOLOGICAL MODELS WITH A SCALAR FIELD [J].

BELINSKY, VA ;

GRISHCHUK, LP ;

KHALATNIKOV, IM ;

ZELDOVICH, YB .

PHYSICS LETTERS B, 1985, 155 (04) :232-236

[5] NUMERICAL INVESTIGATION OF COSMOLOGICAL SINGULARITIES [J].

BERGER, BK ;

MONCRIEF, V .

PHYSICAL REVIEW D, 1993, 48 (10) :4676-4687

[6] CHAOTIC FRIEDMANN-ROBERTSON-WALKER COSMOLOGY [J].

CALZETTA, E ;

ELHASI, C .

CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (09) :1825-1841

[7] SYMPLECTIC INTEGRATION OF HAMILTONIAN-SYSTEMS [J].

CHANNELL, PJ ;

SCOVEL, C .

NONLINEARITY, 1990, 3 (02) :231-259

[8]

GUTZWILLER M., 1990, CHAOS CLASSICAL QUAN

[9]

KOLB EW, 1990, EARLY UNIVERSE

[10]

MISNEW CW, 1973, GRAVITATION

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