Spherical non-linear absorption of cosmological scalar fields onto a
  black hole
  In this paper we track the non-linear spherical evolution of a massless
scalar field onto a Schwarzschild black hole space-time as a first
approximation to the accretion of cosmologically motivated classical scalar
fields. We perform an analysis related to wave packets described by wave number
and width. We study various values of the wave number k, and found that for k =
0 and width packets bigger than the Schwarzschild radius, the absorption is not
total. In the cases we studied for k > 0, the black hole absorbs the total
amount of energy density of the scalar field moving toward the horizon. Our
results indicate that assuming spherical symmetry, in the non-linear regime,
there are cases for which scalar fields are allowed to survive outside black
holes and may eventually have life-times consistent with cosmological time
scales.
