Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
Dec, 2007Citations per year
Abstract: (arXiv)
We study constraints on f(R) dark energy models from solar system experiments combined with experiments on the violation of equivalence principle. When the mass of an equivalent scalar field degree of freedom (scalaron) is heavy in a region with high density, a spherically symmetric body has a thin-shell so that an effective coupling of the fifth force is suppressed through a chameleon mechanism. We place experimental bounds on the cosmologically viable models recently proposed in literature which have an asymptotic form f(R)=R-lambda R_c [1-(R_c/R)^{2n}] in the regime R>>R_c. From the solar-system constraints on the post-Newtonian parameter gamma, we derive the bound n>0.5, whereas a thin-shell condition for the atmosphere of the Earth as well as the constraints from weak and strong equivalence principles give the bound n>1. This allows a possibility to find the deviation from the LambdaCDM cosmological model around the present epoch. For the model f(R)=R-lambda R_c(R/R_c)^p with 0Note:
- 10 pages, no figures
- 04.25.Nx
- solar system
- equivalence principle
- chameleon
- scaleron: mass
- fifth force
- dark matter
- numerical calculations: interpretation of experiments
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