  We analytically explore the effects of the gravitational electromotive force
on magnetic reconnection around Schwarzschild black holes through a generalized
general-relativistic magnetohydrodynamic model that retains two-fluid effects.
It is shown that the gravitational electromotive force can couple to
collisionless two-fluid effects and drive magnetic reconnection. This is
allowed by the departure from quasi-neutrality in curved spacetime, which is
explicitly manifested as the emergence of an effective resistivity in Ohm's
law. The departure from quasi-neutrality is owed to different gravitational
pulls experienced by separate parts of the current layer. This produces an
enhancement of the reconnecion rate due to purely gravitational effects.
