For extremal E2MD black holes, the coupling relation b=-1/a makes the long-range force between any two charge configurations vanish, with attraction on one side and repulsion on the other in every analytically controlled regime.
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Mass and Force Relations for Extremal E2MD Black Holes
For extremal E2MD black holes, the coupling relation b=-1/a makes the long-range force between any two charge configurations vanish, with attraction on one side and repulsion on the other in every analytically controlled regime.