The dynamical origin of the graviton mass in the non-linear theory of massive gravity

Abstract

We compare the standard Higgs mechanism corresponding to the scalar field, with the dynamical origin of the graviton mass inside the scenario of the dRGT theory of massive gravity. We demonstrate that the effective mass perceived locally by different observers, depends on the way how they define the local time with respect to the preferred notion of time defined by the St\"uckelberg function $T_0(r,t)$.