Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres
Differential Geometry
2024-11-07 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.2411.02802,
title = {Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres},
author = {Spyros Alexakis and Zhongshan An and Ahmed Ellithy and Lan-Hsuan Huang},
journal= {arXiv preprint arXiv:2411.02802},
year = {2024}
}
Comments
17 pages