Nonlinear massive gravity and cosmology

摘要

We review cosmological solutions and their stability in nonlinear massive gravity. After constructing homogeneous and isotropic solutions, we show that they suffer from ghost instability. We then find new attractor solutions, in which the physical metric is of Friedmann-Robertson-Walker (FRW) type but anisotropy in the fiducial metric leads to statistical anisotropy of perturbations.