For asymptotically flat manifolds whose boundary capacity potential satisfies an overdetermined condition, the ADM mass is bounded below by a capacity term, with equality characterizing Schwarzschild exteriors.
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On the ADM mass of critical area-normalized capacitors
For asymptotically flat manifolds whose boundary capacity potential satisfies an overdetermined condition, the ADM mass is bounded below by a capacity term, with equality characterizing Schwarzschild exteriors.