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We present the first constraints on the full parameter space of the Galileonmodified gravity model, considering both the cosmological parameters and thecoefficients which specify the additional terms in the Lagrangian due to theGalileon field, which we call the Galileon parameters. We use the latest cosmicmicrowave background measurements, along with distance measurements fromsupernovae and baryonic acoustic oscillations, performing a Monte Carlo MarkovChain exploration of the 9-dimensional parameter space. The integratedSachs-Wolfe signal can be very different in Galileon models compared tostandard gravity, making it essential to use the full CMB data rather than theCMB distance priors. We demonstrate that meaningful constraints are onlypossible in the Galileon parameter space after taking advantage of a scalingdegeneracy. We find that the Galileon model can fit the WMAP 9-year resultsbetter than the standard \Lambda-Cold Dark Matter model, but gives a slightlyworse fit overall once lower redshift distance measurements are included. Thebest-fitting cosmological parameters (e.g. matter density, scalar spectralindex, fluctuation amplitude) can differ by more than 2\sigma\ in the Galileonmodel compared with \Lambda CDM. We highlight other potential constraints ofthe Galileon model using galaxy clustering and weak lensing measurements.

The parameter space in Galileon gravity models