%0 Journal Article %T The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature %A Orfeu Bertolami %A Claudio Gomes %J Physics %D 2014 %I arXiv %R 10.1088/1475-7516/2014/09/010 %X 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. %U http://arxiv.org/abs/1406.5990v1