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We study the predictions for structure formation in an induced gravity darkenergy model with a quartic potential. By developing a dedicatedEinstein-Boltzmann code, we study self-consistently the dynamics of homogeneouscosmology and of linear perturbations without using any parametrization. Byevolving linear perturbations with initial conditions in the radiation era, weaccurately recover the quasi-static analytic approximation in the matterdominated era. We use Planck 2013 data and a compilation of baryonic acousticoscillation (BAO) data to constrain the coupling $\gamma$ to the Riccicurvature and the other cosmological parameters. By connecting thegravitational constant in the Einstein equation to the one measured in aCavendish-like experiment, we find $\gamma < 0.0012$ at 95% CL with Planck 2013and BAO data. This is the tightest cosmological constraint on $\gamma$ and onthe corresponding derived post-Newtonian parameters. Because of a degeneracybetween $\gamma$ and the Hubble constant $H_0$, we show how larger values for$\gamma$ are allowed, but not preferred at a significant statistical level,when local measurements of $H_0$ are combined in the analysis with Planck 2013data.

CMB and BAO constraints for an induced gravity dark energy model with a quartic potential