The cosmology has also been studied using Galileon gravity and this has been done by analyzing the linear perturbation in Galileon gravity. Furthermore, the low-density stars with slow rotation and static relativistic stars have also been analyzed using Galileon gravity. It was observed that the scalar field solution ceases to exist above a critical density and this highly corresponds to the maximum mass of a neutron star. The spherical collapse has also been analyzed in the Galileon gravity. This was done by analyzing the solutions of Einstein equations in Galileon gravity.