Chaos in Robertson-Walker cosmology

被引：17

作者：

Bombelli, L ^{[1
]}

Lombardo, F

Castagnino, M

机构：

[1] Univ Mississippi, Dept Phys & Astron, University, MS 38677 USA

[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Fis, RA-1428 Buenos Aires, DF, Argentina

[3] Inst Astron & Fis Espacio, RA-1428 Buenos Aires, DF, Argentina

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 11期

关键词：

D O I：

10.1063/1.532612

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Chaos in Robertson-Walker cosmological models where gravity is coupled to one or more scalar fields has been studied by a few authors, mostly using numerical simulations. In this paper we begin a systematic study of the analytical aspect. We consider one conformally coupled scalar field and, using the fact that the model is integrable when the field is massless, we show in detail how homoclinic chaos arises for nonzero masses using a perturbative method. (C) 1998 American Institute of Physics. [S0022-2488(98)00511-8].

引用

页码：6040 / 6050

页数：11

共 40 条

[1]

[Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury

[2] OSCILLATORY APPROACH TO A SINGULAR POINT IN RELATIVISTIC COSMOLOGY [J].

BELINSKI.VA ;

KHALATNI.IM ;

LIFSHITZ, EM .

ADVANCES IN PHYSICS, 1970, 19 (80) :525-&

[3] New algorithm for Mixmaster dynamics [J].

Berger, BK ;

Garfinkle, D ;

Strasser, E .

CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (02) :L29-L36

[4]

BERGER BK, GRQC9609072

[5]

BERRY MV, 1983, CHAOTIC BEHAV DETERM

[6] CHAOS AROUND A BLACK-HOLE [J].

BOMBELLI, L ;

CALZETTA, E .

CLASSICAL AND QUANTUM GRAVITY, 1992, 9 (12) :2573-2599

[7]

BOMBELLI L, 1994, DETERMINISTIC CHAOS

[8]

BOMBELLI L, UNPUB FAMILIES CHAOT

[9] INVARIANT LYAPUNOV EXPONENTS AND CHAOS IN COSMOLOGY [J].

BURD, A ;

TAVAKOL, R .

PHYSICAL REVIEW D, 1993, 47 (12) :5336-5341

[10] COARSE-GRAINING APPROACH TO QUANTUM COSMOLOGY [J].

CALZETTA, E ;

CASTAGNINO, M ;

SCOCCIMARRO, R .

PHYSICAL REVIEW D, 1992, 45 (08) :2806-2813

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