  We present a novel way to investigate scalar field profiles around black
holes with an accretion disc for a range of models where the Compton wavelength
of the scalar is large compared to other length scales. By analysing the
problem in "Weyl" coordinates, we are able to calculate the scalar profiles for
accretion discs in the static Schwarzschild, as well as rotating Kerr, black
holes. We comment on observational effects.
