Pré-Publication, Document De Travail Année : 2025

On the ADM mass of critical area-normalized capacitors

Résumé

In this note, we prove mass-capacity inequalities for asymptotically flat manifolds whose boundary capacity potential satisfies an overdetermined problem, referred to as critical area-normalized capacitors. As a consequence, we obtain uniqueness results for the Schwarzschild metric, from which improvements in the uniqueness theorems for spin asymptotically flat spacetimes containing a connected photon surface, as well as for spin asymptotically flat static manifolds with boundary are obtained.

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Dates et versions

hal-04906529 , version 1 (22-01-2025)

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  • HAL Id : hal-04906529 , version 1

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Simon Raulot. On the ADM mass of critical area-normalized capacitors. 2025. ⟨hal-04906529⟩
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