Black hole solutions in massive gravity
  The static vacuum spherically symmetric solutions in massive gravity are
obtained both analytically and numerically. The solutions depend on two
parameters (integration constants): the mass M (or, equivalently, the
Schwarzschild radius), and an additional parameter, the "scalar charge" S. At
zero value of S and positive mass the standard Schwarzschild black hole
solutions are recovered. Depending on the parameters of the model and the signs
of M and S, the solutions may or may not have horizon. Those with the horizon
describe modified black holes provided they are stable against small
perturbations. In the analytically solvable example, the modified black hole
solutions may have both attractive and repulsive (anti-gravitating) behavior at
large distances. At intermediate distances the gravitational potential of a
modified black hole may mimics the presence of dark matter. Modified black hole
solutions are also found numerically in more realistic massive gravity models
which are attractors of the cosmological evolution.
