  The weak-field Schwarzschild and NUT solutions of general relativity are
gravitoelectromagnetically dual to each other, except on the positive $z$-axis.
The presence of non-locality weakens this duality and violates it within a
smeared region around the positive $z$-axis, whose typical transverse size is
given by the scale of non-locality. We restore an exact non-local
gravitoelectromagnetic duality everywhere via a manifestly dual modification of
the linearized non-local field equations. In the limit of vanishing
non-locality we recover the well-known results from weak-field general
relativity.
