CHAOTIC FRIEDMANN-ROBERTSON-WALKER COSMOLOGY

被引：68

作者：

CALZETTA, E ^{[1
]}

ELHASI, C ^{[1
]}

机构：

[1] UNIV BUENOS AIRES, FAC CIENCIAS EXACTAS & NAT, DEPT FIS, RA-1428 BUENOS AIRES, ARGENTINA

来源：

CLASSICAL AND QUANTUM GRAVITY | 1993年 / 10卷 / 09期

关键词：

D O I：

10.1088/0264-9381/10/9/022

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that the dynamics of a spatially closed Friedmann-Robertson-Walker universe conformally coupled to a real, free, massive scalar field, is chaotic, for large enough field amplitudes. We do so by proving that this system is integrable under the adiabatic approximation, but that the corresponding KAM tori break up when non-adiabatic terms are considered. This finding is confirmed by numerical evaluation of the Lyapunov exponents associated with the system, among other criteria. Chaos sets strong limitations on our ability to predict the value of the field at the big crunch, from its given value at the big bang.

引用

页码：1825 / 1841

页数：17

共 76 条

[1] GRAVITATIONAL EFFECTS ON THE SU(5) BREAKING PHASE-TRANSITION FOR A COLEMAN-WEINBERG POTENTIAL [J].

ABBOTT, LF .

NUCLEAR PHYSICS B, 1981, 185 (01) :233-238

[2]

AMENDOLA L, 1990, INT J MOD PHYS A, V5, P3681

[3]

[Anonymous], 1978, MATH METHODS CLASSIC, DOI [DOI 10.1007/978-1-4757-1693-1, 10.1007/978-1-4757-1693-1]

[4]

Arnold V.I., 1988, ENCYCL MATH SCI, V3

[5]

Arnold V.I., 1968, ERGODIC PROBLEMS CLA

[6]

BALASZ NL, 1982, PHYS REV D, V25, P921

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

BARROW, JD .

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

[8] MIXMASTER COSMOLOGICAL MODEL IN THEORIES OF GRAVITY WITH A QUADRATIC LAGRANGIAN [J].

BARROW, JD ;

SIROUSSEZIA, H .

PHYSICAL REVIEW D, 1989, 39 (08) :2187-2191

[9]

BARROW JD, 1987, PHYSICS PHASE SPACE, P18

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

BELINSKI.VA ;

KHALATNI.IM ;

LIFSHITZ, EM .

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

← 1 2 3 4 5 6 7 8 →