  This work presents an implementation of the resistive MHD equations for a
generic algebraic Ohm's law which includes the effects of finite resistivity
within full General Relativity. The implementation naturally accounts for
magnetic-field-induced anisotropies and, by adopting a phenomenological
current, is able to accurately describe electromagnetic fields in the star and
in its magnetosphere. We illustrate the application of this approach in
interesting systems with astrophysical implications; the aligned rotator
solution and the collapse of a magnetized rotating neutron star to a black
hole.
