Phys. Rev. D 78, 044011 (2008) [6 pages]Existence of Einstein static universes and their stability in fourth-order theories of gravityReceived 22 April 2008; published 7 August 2008 We investigate whether or not an Einstein static universe is a solution to the cosmological equations in f(R) gravity. It is found that only one class of f(R) theories admits an Einstein static model, and that this class is neutrally stable with respect to vector and tensor perturbations for all equations of state on all scales. Scalar perturbations are only stable on all scales if the matter fluid equation of state satisfies cs2>√5-1/6≈0.21. This result is remarkably similar to the general relativity case, where it was found that the Einstein static model is stable for cs2>1/5. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.044011
DOI:
10.1103/PhysRevD.78.044011
PACS:
04.25.Nx
See AlsoComment: John Miritzis, Comment on “Existence of Einstein static universes and their stability in fourth-order theories of gravity”, Phys. Rev. D 79, 068501 (2009). |
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