Stability of the Einstein static universe in f(R) gravity
General Relativity and Quantum Cosmology
2012-06-22 v2 Astrophysics
High Energy Physics - Theory
Abstract
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 parameterized 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.
Keywords
Cite
@article{arxiv.0706.1663,
title = {Stability of the Einstein static universe in f(R) gravity},
author = {Christian G. Boehmer and Lukas Hollenstein and Francisco S. N. Lobo},
journal= {arXiv preprint arXiv:0706.1663},
year = {2012}
}