Abstract
We compare observational data of growth rate with the prediction by generalized Brans–Dicke theory. For the same value of the energy density parameter Ωm,0, the growth rate in generalized Brans–Dicke models is enhanced compared with the ΛCDM case, due to the enhancement of Newton’s constant. The smaller Ωm,0 is, the more suppressed growth rate is. Hence the best fit value of Ωm,0 in the generalized Brans–Dicke model is 0.16 from only the growth rate data, which is considerably smaller than such value obtained from observations of supernovae Ia, the cosmic microwave background and baryon acoustic oscillations. We also find the upper limit of the Brans–Dicke parameter to be ω < −1000 (1σ), from the growth rate data.
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