MOND as the weak field limit of an extended metric theory of gravity
  with a matter-curvature coupling
  In this article we construct an extended relativistic f(R) theory of gravity
with matter-curvature couplings F(R,L_matt) for which its weak field limit of
approximation recovers the simplest version of MOND. We do this by (a)
performing an order of magnitude approach and (b) by perturbing the resulting
field equations of the theory to the weakest field limit of approximation. We
also compute the geodesic equation of the resulting theory and show that it has
an extra force, a fact that commonly appears in general matter-curvature
couplings. This arxiv version includes a section at the end with an Erratum.
