Many-body equilibrium of dual charged sources in general relativity

Starting with the basic equations of Israel and Wilson, and Perjes, we give the explicit axially symmetric metric for $n$ dual charged sources in equilibrium under their mutual electromagnetic and gravitational forces. We give the conditions for the removal of all connecting strut singularities and for an asymptotically flat space-time. In the case of two sources, we show that the strut-free asymptotically flat solutions having given values of electric and magnetic charge cannot have a separation of the sources which exceeds a certain maximum value.