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

TL;DR

This paper explores how the graviton mass arises dynamically within the dRGT massive gravity theory, showing that the perceived mass depends on observers' definitions of local time relative to a preferred time function.

Contribution

It compares the Higgs mechanism with the dynamical origin of graviton mass in dRGT theory, highlighting the observer-dependent nature of the effective mass.

Findings

Effective graviton mass varies with observer-defined local time.

The perceived mass depends on the choice of the local time relative to the St"uckelberg function.

The dynamical origin of the mass is linked to the structure of the theory and observer perspectives.

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 $T_0(r,t)$.