  The evolution of the magnetic field in an accreting neutron star is
investigated using a fully general relativistic treatment and assuming that
initially the currents supporting the field are completely confined to the
crust. We find that the field decay slows down due to the inclusion of the
curvature of space-time but the final results do not differ significantly from
those obtained assuming a flat space-time. We also find that such modifications
are small compared to the uncertainties introduced by a lack of precise
knowledge of the neutron star micro-physics.
