What can we learn from nonminimally coupled scalar field cosmology?

被引:11
作者
Gunzig, E
Faraoni, V
Figueiredo, A
Rocha, TM
Brenig, L
机构
[1] Free Univ Brussels, RggR, B-1050 Brussels, Belgium
[2] Inst Int Chim & Phys Solvay, Brussels, Belgium
[3] Univ Brasilia, Inst Fis, BR-70910900 Brasilia, DF, Brazil
[4] Free Univ Brussels, Serv Phys Stat, B-1050 Brussels, Belgium
关键词
D O I
10.1023/A:1003654017547
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A novel exploration of nonminimally coupled scalar field cosmology is proposed in the framework of spatially flat Friedmann-Robertson-Walker spaces for arbitrary scaler field potentials V(psi) and values of the nonminimal coupling constant xi. This approach is self-consistent in the sense that the equation of state of the scalar field is not prescribed a priori, but is rather deduced together with the solution of the field equations. The role of nonminimal coupling appears to be essential. A dimensional reduction of the system of differential equations leads to the result that chaos is absent in the dynamics of a spatially flat FRW universe with a single scaler field. The topology of the phase space is studied and reveals an unexpected involved structure: according to the form of the potential V(psi) and the value of the nonminimal coupling constant xi, dynamically forbidden regions may exist. Their boundaries play an important role in the topological organization of the phase space of the dynamical system. New exact solutions sharing a universal character are presented; one of them describes a nonsingular universe that exhibits a graceful exit from, and entry into, inflation. This behavior does not require the presence of the cosmological constant. The relevance of this solution and of the topological structure of the phase space with respect to an emergence of the universe from a primordial Minkowski vacuum, in an extended semiclassical context, is shown.
引用
收藏
页码:1901 / 1932
页数:32
相关论文
共 73 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]   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
[3]  
[Anonymous], 1995, GRAV COSMOL
[4]   INFLATION IN THE PRESENCE OF A NONMINIMAL COUPLING [J].
BARROSO, A ;
CASASAYAS, J ;
CRAWFORD, P ;
MONIZ, P ;
NUNES, A .
PHYSICS LETTERS B, 1992, 275 (3-4) :264-272
[5]   Geometric reheating after inflation [J].
Bassett, BA ;
Liberati, S .
PHYSICAL REVIEW D, 1998, 58 (02) :213021-213025
[6]  
Birrell N. D., 1982, Quantum fields in curved space
[7]   CHAOS IN CLASSICAL COSMOLOGY [J].
BLANCO, S ;
DOMENECH, G ;
ELHASI, C .
GENERAL RELATIVITY AND GRAVITATION, 1994, 26 (11) :1131-1143
[8]   Chaos in Robertson-Walker cosmology [J].
Bombelli, L ;
Lombardo, F ;
Castagnino, M .
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (11) :6040-6050
[9]   Nonperturbative renormalization group approach for a scalar theory in higher-derivative gravity [J].
Bonanno, A ;
Zappala, D .
PHYSICAL REVIEW D, 1997, 55 (10) :6135-6146
[10]   COARSE GRAINING AND RENORMALIZATION-GROUP IN THE EINSTEIN UNIVERSE [J].
BONANNO, A .
PHYSICAL REVIEW D, 1995, 52 (02) :969-980