Phys. Rev. D 76, 084005 (2007) [6 pages]Stability of the Einstein static universe in f(R) gravityReceived 18 June 2007; published 8 October 2007 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/ρ. 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.084005
DOI:
10.1103/PhysRevD.76.084005
PACS:
04.50.+h, 04.20.Jb, 04.25.Nx
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.