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Black Holes and Theoretical PhysicsCryospheric studies and observationsGeometric Analysis and Curvature Flows

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

S. Alexakis, Z. An, Ahmed Ellithy, Lan-Hsuan Huang

2026.1.1COMMUNICATIONS IN ANALYSIS AND GEOMETRY

DOI: 10.4310/cag.260528162350

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.

Citation format

ALEXAKIS, S., et al. Existence of static vacuum extensions for bartnik boundary data near schwarzschild spheres. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2026, 34(2): 423–446.