Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres

Communications in Analysis and Geometry 2026 Open access

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Authors: Spyros Alexakis, Zhongshan An, Ahmed Ellithy, Lan-Hsuan Huang
DOI: 10.4310/cag.260528162350
Cited by: 0

Abstract

We obtain existence and local uniqueness of asymptotically flat, static vacuum extensions for Bartnik data on a sphere near the data of a sphere of symmetry in a Schwarzschild manifold.

Fields of Study & Subjects

Black Holes and Theoretical Physics Cryospheric studies and observations Geometric Analysis and Curvature Flows

Publication details

Journal / source
Communications in Analysis and Geometry
Publisher
International Press of Boston
Volume
34
Issue
2
Pages
423–446
Publication date
1 January 2026
Language
EN