Starobinsky Model in Rainbow Gravity
  In this paper, we study the Starobinsky model of inflation in the context of
gravity's rainbow theory. We propose that gravity rainbow functions can be
written in the power-law form of the Hubble parameter. We present a detailed
derivation of the spectral index of curvature perturbation and the
tensor-to-scalar ratio and compare the predictions of our models with Planck
2015 data. We discover that in order to be consistent with Planck data up to
$2\sigma$ C.L., the viable values of $N_{k}$ $e$-folds would satisfy
$42\lesssim N_{k}\lesssim 87$ and the rainbow parameter $\lambda$ is nicely
constrained to be $\lambda \lesssim6.0$.
