As an extension of Dvali-Gabadadze-Porrati (DGP) model, the Galileon theory has been proposed to explain the "self-accelerating problem" and "ghost instability problem". In this Paper, we extend the Galileon theory by considering a non-minimally coupled Galileon scalar with gravity. The statefinder analysis, $Om(z)$ diagnostic and constraint the model parameters have been investigate , we find $\Omega_\text{ m0}=0.263_{ -0.031}^{ +0.031}$, $n=1.53_{ -0.37}^{ +0.21}$ (at the $95\%$ confidence level) with $\chi^2_{ \text{ min}}=473.376$. Further we show that due to the SNe Ia + BAO data ,our model behaves like a phantom-like dark energy.
Categories: physics.gen-ph astro-ph.CO