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arXiv · 2609.28101

Strict Stability of the ADM Mass and Static Vacuum Extensions

Zhongshan An·Lan-Hsuan Huang
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Abstract

We introduce a notion of strict stability for the ADM mass on asymptotically flat manifolds with boundary and establish several of its fundamental properties. In particular, we show that a strictly stable static vacuum metric is a strict local ADM mass minimizer, thus proving a local version of Bartnik's Mass Minimizer Conjecture near Euclidean exterior regions. Our approach also gives a new proof of the existence of static vacuum extensions for nearby Bartnik boundary data on arbitrary exterior regions of Euclidean space.

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Zhongshan An, Lan-Hsuan Huang. 2026-09-23. Strict Stability of the ADM Mass and Static Vacuum Extensions. https://arxiv.org/abs/2609.28101

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