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

Christian G. Böhmer*, Lukas Hollenstein†, and Francisco S. N. Lobo‡

  • Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 2EG, United Kingdom

  • *christian.boehmer@port.ac.uk
  • †lukas.hollenstein@port.ac.uk
  • ‡francisco.lobo@port.ac.uk
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Phys. Rev. D 76, 084005 – Published 8 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.084005

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 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.

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Phys. Rev. D 76, 084005– Published 8 October, 2007
  • Received 18 June 2007

© 2007 American Physical Society

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