  Here I obtain the conditions necessary for the conservation of the Dirac
current when one substitutes the assumption $\gamma^A_{\ \ |B}=0$ for
$\gamma^A_{\ \ |B}=[V_B,\gamma^A]$, where the $\gamma^A$s are the Dirac
matrices and "$|$" represents the components of the covariant derivative. As an
application, I apply these conditions to the model used in Ref. [M. Novello,
Phys. Rev. {\bf D8}, 2398 (1973)].
