Phys. Rev. D 75, 127502 (2007) [4 pages]Stability of cosmological solutions in f(R) models of gravityReceived 9 February 2007; published 11 June 2007 We reconcile seemingly conflicting statements in the literature about the behavior of cosmological solutions in modified theories of gravity where the Einstein-Hilbert Lagrangian for gravity is modified by the addition of a function of the Ricci scalar, f(R). Using the example of f(R)=±μ4/R we show that only such choices of f(R) where d2f/dR2>0 have stable high-curvature limits and well-behaved cosmological solutions with a proper era of matter domination. The remaining models enter a phase dominated by both matter and scalar kinetic energy where the scalar curvature remains low. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.75.127502
DOI:
10.1103/PhysRevD.75.127502
PACS:
04.50.+h, 98.80.−k
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