Equivalence of two solutions of physical massive gravity

TL;DR

This paper demonstrates that two seemingly different solutions in linearized massive gravity are equivalent at the generating functional level, regardless of whether they are at or outside the Fierz-Pauli point.

Contribution

It shows the equivalence of two solutions in linearized massive gravity at the generating functional level, clarifying their physical relationship.

Findings

Two solutions are equivalent at the generating functional level.

One solution corresponds to Fierz-Pauli point, the other outside it.

The equivalence holds despite their different physical interpretations.

Abstract

We study some aspects of linearized gravity as gauge theory, with massive deformation. Recently it has been shown that there are two distinct solutions, which represent physical massive gravity. The purpose of the present work is to show that these two seemingly discrete solutions are equivalent at the level of generating functional. The significance of this simple work lies in the fact that one solution represent physical massive gravity at Fierz-Pauli (FP) point and other outside the FP point.