Astrophysical black holes in screened modified gravity
  Chameleon, environmentally dependent dilaton, and symmetron gravity are three
models of modified gravity in which the effects of the additional scalar degree
of freedom are screened in dense environments. They have been extensively
studied in laboratory, cosmological, and astrophysical contexts. In this paper,
we present a preliminary investigation into whether additional constraints can
be provided by studying these scalar fields around black holes. By looking at
the properties of a static, spherically symmetric black hole, we find that the
presence of a non-uniform matter distribution induces a non-constant scalar
profile in chameleon and dilaton, but not necessarily symmetron gravity. An
order of magnitude estimate shows that the effects of these profiles on
in-falling test particles will be sub-leading compared to gravitational waves
and hence observationally challenging to detect.
