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Perturbations for massive gravity theories
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A theory of massive gravity depends on a non-dynamical 'reference metric' f_{\mu\nu} 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_{\mu\nu} which does not coincide with the reference metric f_{\mu\nu}. 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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Perturbations of black holes in mass-varying massive gravity
In mass-varying massive gravity, the beta=alpha^2 branch of constant-scalar Schwarzschild-(A)dS solutions has delta X=0, so tensor perturbations obey the GR equations while scalar stability depends on potential parameters.
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