Failures of homogeneous and isotropic cosmologies in Extended
  Quasi-Dilaton Massive Gravity
  We analyze the Extended Quasi-Dilaton Massive Gravity model around a
Friedmann-Lema\^itre-Robertson-Walker cosmological background. We present a
careful stability analysis of asymptotic fixed points. We find that the
traditional fixed point cannot be approached dynamically, except from a
perfectly fine-tuned initial condition involving both the quasi-dilaton and the
Hubble parameter. A less-well examined fixed-point solution, where the time
derivative of the 0-th St\"uckelberg field vanishes $\dot\phi^0=0$, encounters
no such difficulty, and the fixed point is an attractor in some finite region
of initial conditions. We examine the question of the presence of a
Boulware-Deser ghost in the theory. We show that the additional constraint
which generically allows for the elimination of the Boulware-Deser mode is only
present under special initial conditions. We find that the only possibility
corresponds to the traditional fixed point and the initial conditions are the
same fine-tuned conditions that allow the fixed point to be approached
dynamically.
