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

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

2007-02-10

arxiv.org/abs/astro-ph/0702278v2

Phys.Rev.D75:127502,2007

Astronomy and Astrophysics

Astrophysics

4 pages, 2 figures, v2 reflects version accepted for publication in PRD: minor typos fixed and references updated

Scientific paper

10.1103/PhysRevD.75.127502

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) = +/-\mu^4/R we show that only such choices of f(R) where d^2f/dR^2>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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