  We study black hole solutions in an extension of General Relativity (GR) with
an explicit non-minimal coupling between matter and curvature. General black
hole solutions satisfying the known energy conditions are derived including the
ones with anti-de Sitter background. These solutions differ from those of GR
just by a coupling function dependent rescaling of the mass and charge of the
black hole and by a "dressing" of the cosmological constant. The existence of
black hole solutions of the nonminimally coupled theory as well as the
conditions for a suitable weak field limit are considered as a constraint on
the coupling function responsible for the nonminimal coupling between matter
and curvature. The "dressing" of the cosmological constant is then used to
address the cosmological constant problem.
