On the stability of the Einstein static universe

被引:129
作者
Barrow, JD [1 ]
Ellis, GFR
Maartens, R
Tsagas, CG
机构
[1] Univ Cambridge, DAMTP, Ctr Math Sci, Cambridge CB3 0WA, England
[2] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Cape Town, South Africa
[3] Univ Portsmouth, Inst Cosmol & Gravitat, Portsmouth PO1 2EG, Hants, England
关键词
D O I
10.1088/0264-9381/20/11/102
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show using covariant techniques that the Einstein static universe containing a perfect fluid is always neutrally stable against small inhomogeneous vector and tensor perturbations and neutrally stable against adiabatic scalar density inhomogeneities so long as c(s)(2) > 1/5, and unstable otherwise. We also show that the stability is not significantly changed by the presence of a self-interacting scalar field source, but we find that spatially homogeneous Bianchi type IX modes destabilize an Einstein static universe. The implications of these results for the initial state of the universe and its pre-inflationary evolution are also discussed.
引用
收藏
页码:L155 / L164
页数:10
相关论文
共 19 条
[1]   INFLATION AND THE CONFORMAL STRUCTURE OF HIGHER-ORDER GRAVITY THEORIES [J].
BARROW, JD ;
COTSAKIS, S .
PHYSICS LETTERS B, 1988, 214 (04) :515-521
[3]   THE STABILITY OF GENERAL RELATIVISTIC COSMOLOGICAL THEORY [J].
BARROW, JD ;
OTTEWILL, AC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (12) :2757-2776
[4]   Metric preheating and limitations of linearized gravity [J].
Bassett, BA ;
Tamburini, F ;
Kaiser, DI ;
Maartens, R .
NUCLEAR PHYSICS B, 1999, 561 (1-2) :188-240
[5]   COSMOLOGICAL PERTURBATIONS AND THE PHYSICAL MEANING OF GAUGE-INVARIANT VARIABLES [J].
BRUNI, M ;
DUNSBY, PKS ;
ELLIS, GFR .
ASTROPHYSICAL JOURNAL, 1992, 395 (01) :34-53
[6]   GAUGE-INVARIANT PERTURBATIONS IN A SCALAR FIELD DOMINATED UNIVERSE [J].
BRUNI, M ;
ELLIS, GFR ;
DUNSBY, PKS .
CLASSICAL AND QUANTUM GRAVITY, 1992, 9 (04) :921-945
[7]   INFLATIONARY MODELS WITH EXPONENTIAL POTENTIALS [J].
BURD, AB ;
BARROW, JD .
NUCLEAR PHYSICS B, 1988, 308 (04) :929-945
[8]   Microwave background anisotropies from gravitational waves: the 1+3 covariant approach [J].
Challinor, A .
CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (04) :871-889
[9]   Covariant analysis of gravitational waves in a cosmological context [J].
Dunsby, PKS ;
Bassett, BACC ;
Ellis, GFR .
CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (05) :1215-1222
[10]  
Eddington A.S, 1930, MON NOT R ASTRON SOC, V90, P668, DOI DOI 10.1093/MNRAS/STV868