Perturbations for massive gravity theories
arXiv:1309.2245 · doi:10.1103/PhysRevD.89.084016
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.
11 pages, 3 figures. V2: some pages added, other minor changes (references added, typos corrected)