  When starting with a static, spherically-symmetric ansatz, there are two
types of black hole solutions in dRGT massive gravity: (i) exact Schwarzschild
solutions which exhibit no Yukawa suppression at large distances and (ii)
solutions in which the dynamical metric and the reference metric are
simultaneously diagonal and which inevitably exhibit coordinate-invariant
singularities at the horizon. In this work we investigate the possibility of
black hole solutions which can accommodate both a non-singular horizon and
Yukawa asymptotics. In particular, by adopting a time-dependent ansatz, we
derive perturbative analytic solutions which possess non-singular horizons.
These black hole solutions are indistinguishable from Schwarzschild black holes
in the limit of zero graviton mass. At finite graviton mass, they depend
explicitly on time. However, we demonstrate that the location of the apparent
horizon is not necessarily time-dependent, indicating that these black holes
are not necessarily accreting or evaporating (classically). In deriving these
results, we also review and extend known results about static black hole
solutions in massive gravity.
