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Matter Power Spectra in Viable $f(R)$ Gravity Models with Dynamical Background
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abstract
We study the matter power spectra in the viable $f(R)$ gravity models with the dynamical background evolution and linear perturbation theory by using the CosmoMC package. We show that these viable $f(R)$ models generally shorten the age of the universe and suppress the matter density fluctuation. We examine the allowed ranges of the model parameters and the constraints of the cosmological variables from the current observational data, and find that the dynamical evolution of $\rho_{DE}(z)$ plays an important role to constrain the neutrino masses.
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Preventing Curvature Singularities in $f(R)$ Dark Energy Models
Adding R² or related higher-curvature corrections can prevent singularities in toy f(R) dark-energy models only when the correction mass is tuned far below the Starobinsky inflation scale.
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