  We apply the functional renormalization group equation to a massive
Fierz-Pauli action in curved space and find that, even though a massive term is
a modification in the infrared sector, the mass term modifies the value of the
non-gaussian fixed point in the UV sector.We obtained the beta function for the
scale dependent mass parameter and found that the massive Fierz-Pauli case
still seems to be an asymptotically safe theory.
