Consistency Relation and Non-Gaussianity in a Galileon Inflation
  We study a particular Galileon inflation in the light of Planck2015
observational data in order to constraint the model parameter space. We study
the spectrum of the primordial modes of the density perturbations by expanding
the action up to the second order in perturbations. Then we pursue by expanding
the action up to the third order and find the three point correlation functions
to find the amplitude of the non-Gaussianity of the primordial perturbations in
this setup. We study the amplitude of the non-Gaussianity both in equilateral
and orthogonal configurations and test the model with recent observational
data. Our analysis shows that for some ranges of the non-minimal coupling
parameter, the model is consistent with observation and it is also possible to
have large non-Gaussianity which would be observable by future improvements in
experiments. Moreover, we obtain the tilt of the tensor power spectrum and test
the standard inflationary consistency relation ($r=-8n_T$) against the latest
bounds from the Planck2015 dataset. We find a slight deviation from the
standard consistency relation in this setup. Nevertheless, such a deviation
seems not to be sufficiently remarkable to be detected confidently.
