Equality in the spin mass–charge inequality holds precisely when the manifold carries a charged parallel spinor and is isometric to extremal Reissner–Nordström (connected boundary or one cylindrical end).
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Charged parallel spinors and applications to mass--charge inequalities
Equality in the spin mass–charge inequality holds precisely when the manifold carries a charged parallel spinor and is isometric to extremal Reissner–Nordström (connected boundary or one cylindrical end).