  We consider static spherically symmetric stellar configurations in Palatini
theories of gravity in which the Lagrangian is an unspecified function of the
form f(R,R_{\mu\nu}R^{\mu\nu}). We obtain the Tolman-Oppenheimer-Volkov
equations corresponding to this class of theories and show that they recover
those of f(R) theories and General Relativity in the appropriate limits. We
compute exterior vacuum solutions and comment on the possible expected
modifications, as compared to GR, of the interior solutions.
