The Layzer-Irvine equation in theories with non-minimal coupling between
  matter and curvature
  We derive the Layzer-Irvine equation for alternative gravitational theories
with non-minimal coupling between curvature and matter for an homogeneous and
isotropic Universe. As an application, we study the case of Abell 586, a
relaxed and spherically symmetric galaxy cluster, assuming some matter density
profiles.
