  The gravitational effective average action is studied in a bimetric
truncation with a nontrivial background field dependence, and its
renormalization group flow due to a scalar multiplet coupled to gravity is
derived. Neglecting the metric contributions to the corresponding beta
functions, the analysis of its fixed points reveals that, even on the new
enlarged theory space which includes bimetric action functionals, the theory is
asymptotically safe in the large $N$ expansion.
