Abstract
Experiments on the violation of equivalence principle (EP) and solar system give a number of constraints in which any modified gravity model must satisfy them. We study these constraints on a kind of f(R) gravity as \(f(R) = R(1\pm\epsilon\ln({R \over R_{c}}))\). For this investigation we use of chameleon mechanism and show that a spherically body has thin-shell in this model. So that we obtain an effective coupling of the fifth force which is suppressed through a chameleon mechanism. Also, we obtain γ PPN =1±1.13×10−5 which is agreement with experiment results. At last, we show that for R c ≈ρ c this model is consistent with EP, thin shell condition and fifth force of chameleon mechanism for ε⋍10−14.
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Saaidi, K., Aghamohammadi, A. Equivalence principle (EP) and solar system constraints on \(R(1\pm\epsilon\ln({R \over R_{c}}))\) model of gravity. Astrophys Space Sci 333, 327–331 (2011). https://doi.org/10.1007/s10509-011-0621-1
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DOI: https://doi.org/10.1007/s10509-011-0621-1