Nonlocality and gravitoelectromagnetic duality

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 nonlocality 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 nonlocality. We restore an exact nonlocal gravitoelectromagnetic duality everywhere via a manifestly dual modification of the linearized nonlocal field equations. In the limit of vanishing nonlocality we recover the well-known results from weak-field general relativity. Nonlocality, as a possible ultraviolet completion of gravity, does not pose a fundamental impediment to duality structures at the linear level.