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We investigate the cosmology of SO(3)-invariant massive gravity with 5degrees of freedom. In contrast with previous studies, we allow for anon-trivial fiducial metric, which can be justified by invoking, for example, adilaton-like global symmetry. We write the homogeneous and isotropic equationsof motion in this more general setup and identify, in particular, de Sittersolutions. We then study the linear perturbations around the homogeneouscosmological solutions, by deriving the quadratic Lagrangian governing thedynamics of scalar, vector and tensor modes. We thus obtain the conditions forthe perturbations to be well-behaved. We show that it is possible to find deSitter solutions whose perturbations are weakly coupled and stable, i.e.without ghost-like or gradient instabilities.

Cosmology in rotation-invariant massive gravity with non-trivial fiducial metric