Work

Strict Stability of the ADM Mass and Static Vacuum Extensions

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.28101

Authors: An, Zhongshan, Huang, Lan-Hsuan

Institutions: University of Science and Technology of China, University of Connecticut

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7214193522

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