Stability of the Einstein static universe in f(R) gravity

被引:93
作者
Bohmer, Christian G. [1 ]
Hollenstein, Lukas [1 ]
Lobo, Francisco S. N. [1 ]
机构
[1] Univ Portsmouth, Inst Cosmol & Graviat, Portsmouth PO1 2EG, Hants, England
关键词
D O I
10.1103/PhysRevD.76.084005
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We analyze the stability of the Einstein static universe by considering homogeneous scalar perturbations in the context of f(R) modified theories of gravity. By considering specific forms of f(R), the stability regions of the solutions are parametrized by a linear equation of state parameter w = p/rho. Contrary to classical general relativity, it is found that in f(R) gravity a stable Einstein cosmos with a positive cosmological constant does indeed exist. Thus, we are lead to conclude that, in principle, modifications in f(R) gravity stabilize solutions which are unstable in general relativity.
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页数:6
相关论文
共 71 条
[1]   Dark energy dominance and cosmic acceleration in first-order formalism [J].
Allemandi, G ;
Borowiec, A ;
Francaviglia, M ;
Odintsov, SD .
PHYSICAL REVIEW D, 2005, 72 (06)
[2]   Cosmological constraints on f(R) gravity theories within the Palatini approach [J].
Amarzguioui, M. ;
Elgaroy, O. ;
Mota, D. F. ;
Multamaki, T. .
ASTRONOMY & ASTROPHYSICS, 2006, 454 (03) :707-714
[3]  
AMENDOLA L, ARXIV07050396, P26003
[4]  
AMENDOLA L, ARXIV07042421, P27503
[5]   Are f(R) dark energy models cosmologically viable? [J].
Amendola, Luca ;
Polarski, David ;
Tsujikawa, Shinji .
PHYSICAL REVIEW LETTERS, 2007, 98 (13)
[6]   Conditions for the cosmological viability of f(R) dark energy models [J].
Amendola, Luca ;
Gannouji, Radouane ;
Polarski, David ;
Tsujikawa, Shinji .
PHYSICAL REVIEW D, 2007, 75 (08)
[7]  
[Anonymous], ARXIVASTROPH0303041
[8]   On the stability of the Einstein static universe [J].
Barrow, JD ;
Ellis, GFR ;
Maartens, R ;
Tsagas, CG .
CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (11) :L155-L164
[9]   THE STABILITY OF GENERAL RELATIVISTIC COSMOLOGICAL THEORY [J].
BARROW, JD ;
OTTEWILL, AC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (12) :2757-2776
[10]   Perturbative aspects and conformal solutions of F(R) gravity [J].
Bazeia, D. ;
da Cunha, B. Carneiro ;
Menezes, R. ;
Petrov, A. Yu. .
PHYSICS LETTERS B, 2007, 649 (5-6) :445-453