Inflation and primordial non-Gaussianities of "generalized Galileons"
  We set up cosmological perturbation theory and study the cosmological
implications of the so-called ``generalized Galileon'' developed in
\cite{Deffayet:2011gz,horndeski}. This is the most general scalar field theory
whose Lagrangian contains derivatives up to second order while keeping second
order equations of motion, and contains as sub-cases $k$-inflation,
$G$-inflation and many other models. We calculate the power spectrum of the
primordial curvature perturbation, finding a modification of the usual
consistency relation of the tensor-to-scalar ratio in $k$-inflation or perfect
fluid models. Finally we also calculate the bispectrum, which contains no new
shapes beyond those of $k$-inflation.
