Stability of Cosmological Solution in f(R) Models of Gravity
Feb, 2007Citations per year
Abstract: (arXiv)
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.- 04.50.+h
- 98.80.-k
- gravitation: model
- scalar: Ricci
- field equations: solution
- stability
- general relativity
- potential
- solar system
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