Constraining Galileon Gravity from Observational Data with Growth Rate

We studied the cosmological constraints on Galileon gravity obtained from observational data of the growth rate of matter density perturbations, the supernovae Ia (SN Ia), the cosmic microwave background (CMB), and baryon acoustic oscillations (BAO). For the same value of the energy density parameter of matter Omega(m),(0), the growth rate f in Galileon models is enhanced relative to the ACDM case, because of an increase in Newton's constant. The smaller the Omega(m,0), the more the growth rate is suppressed. Therefore, the best fit value of Omega(m,0) in the Galileon model, based only on the growth rate data, is quite small. This is incompatible with the value of Omega(m,0) obtained from the combination of SN Ia, CMB, and BAO data. On the other hand, in the ACDM model, the values of Omega(m,0) obtained from different observational data sets are consistent. In the analysis presented in this paper, we found that the Galileon model is less compatible with observations than the ACDM model. This result seems to be qualitatively the same in most of the generalized Galileon models in which Newton's constant is enhanced.