  In most of the successful versions of covariant density functional theory in
nuclei, the Fock terms are not included explicitly, which leads to local
functionals and forms the basis of their widespread applicability at present.
However, it has serious consequences for the description of Gamow-Teller
resonances (GTR) and spin-dipole resonances (SDR) which can only be cured by
adding further phenomenological parameters. Relativistic Hartree-Fock models do
not suffer from these problems. They can successfully describe the GTR and SDR
as well as the isovector part of the Dirac effective mass without any
additional parameters. However, they are non-local and require considerable
numerical efforts. By the zero-range reduction and the Fierz transformation, a
new method is proposed to take into account the Fock terms in local
functionals, which retains the simplicity of conventional models and provides
proper descriptions of the spin-isospin channels and the Dirac masses.
