Black hole solutions of gravity theories with nonminimal coupling   between matter and curvature
  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. 
Orfeu Bertolami, Mariano Cadoni, Andrea Porru
gr-qc hep-th