  In this paper, we will analyze the energy dependent deformation of massive
gravity using the formalism of massive gravity's rainbow. So, we will use the
Vainshtein mechanism and the dRGT mechanism for the energy dependent massive
gravity, and thus analyze a ghost free theory of massive gravity's rainbow. We
study the energy dependence of a time-dependent geometry, by analyzing the
radiating Vaidya solution in this theory of massive gravity's rainbow. The
energy dependent deformation of this Vaidya metric will be performed using
suitable rainbow functions.
