English

Dynamics of f(R)-cosmologies containing Einstein static models

General Relativity and Quantum Cosmology 2009-04-17 v1

Abstract

We study the dynamics of homogeneous isotropic FRW cosmologies with positive spatial curvature in f(R)f(R)-gravity, paying special attention to the existence of Einstein static models and only study forms of f(R)=Rnf(R)=R^n for which these static models have been shown to exist. We construct a compact state space and identify past and future attractors of the system and recover a previously discovered future attractor corresponding to an expanding accelerating model. We also discuss the existence of universes which have both a past and future bounce, a phenomenon which is absent in General Relativity.

Keywords

Cite

@article{arxiv.0809.5247,
  title  = {Dynamics of f(R)-cosmologies containing Einstein static models},
  author = {Naureen Goheer and Rituparno Goswami and Peter K. S. Dunsby},
  journal= {arXiv preprint arXiv:0809.5247},
  year   = {2009}
}

Comments

14 pages, 6 figures

R2 v1 2026-06-21T11:25:46.817Z