New symmetries in Fierz-Pauli massive gravity

Abstract

We expose a new symmetry for linear perturbations around a solution of non-linear Fierz-Pauli massive gravity plus a bare cosmological constant. The cosmological constant is chosen such that the background metric is flat while the Stuckelberg fields have a non-trivial profile. Around this background, at linear order the new symmetry reduces the propagating degrees of freedom to those of General Relativity, namely the massless helicity 2 modes only. We discuss the physical consequences and possible applications of these findings.

9 pages, no figures

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• Cosmology and perturbations in massive gravity
• Vector instabilities and self-acceleration in the decoupling limit of massive gravity
• Symmetries for scalarless scalar theories