Density dependent relativistic Hartree-Fock theory has been extended to describe properties of exotic nuclei. The effects of Fock exchange terms and of πand ρmeson contributions are discussed. These effects are found to be more important for neutron rich nuclei than for nuclei near the valley of stability. PACS: 21.10.Dr, 21.10.Gv, 21.60.Jz, 24.10.Jv