Abstract
A theory of massive gravity depends on a non-dynamical 'reference metric' f_{μν} which is often taken to be the flat Minkowski metric. In this paper we examine the theory of perturbations on a background with metric g_{μν} which does not coincide with the reference metric f_{μν}. We derive the mass term for general perturbations on this background and show that it generically is not of the form of the Fierz-Pauli mass term. We explicitly compute it for some cosmological situations.
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