Stability of Cosmological Solution in f(R) Models of Gravity

2007/02/28 by Ignacy Sawicki, Wayne Hu · 1 citation
Physics and Astronomy · #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.75.127502

published as Phys.Rev.D75:127502,2007 · 4 pages, 2 figures, v2 reflects version accepted for publication in PRD: minor typos fixed and references updated

arxiv created 2007/05/10 · arxiv updated 2009/12/01

Abstract

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.

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