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arXiv · 2411.02802

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

Spyros Alexakis·Zhongshan An·Ahmed Ellithy·Lan-Hsuan Huang
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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.

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Spyros Alexakis, Zhongshan An, Ahmed Ellithy, Lan-Hsuan Huang. 2024-11-05. Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres. https://arxiv.org/abs/2411.02802

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