Nonlinear completion of massive gravity of the Fierz-Pauli type

TL;DR

This paper proposes a nonlinear extension of Fierz-Pauli massive gravity involving a massive tensor and vector field, with smooth massless and flat-spacetime limits, but the ghost removal condition remains unresolved.

Contribution

It introduces a nonlinear model of massive gravity with additional fields, maintaining smooth limits, and highlights unresolved issues in ghost elimination.

Findings

Smooth massless and flat-spacetime limits achieved

Nonlinear model includes a massive tensor and vector field

Ghost removal condition remains unsettled

Abstract

A possible nonlinear completion of massive gravity of the Fierz-Pauli type is proposed. The theory describes a system consisting of a massive tensor field of the Fierz-Pauli type and an additional massive vector field. Massless limit as well as flat-spacetime limit can be taken smoothly. Constructing a nonlinear version of the physical-state condition which drives an extra scalar ghost from physical states is still unsettled.