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

Fuente: arXiv
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Autori principali: Alexakis, Spyros, An, Zhongshan, Ellithy, Ahmed, Huang, Lan-Hsuan
Natura: Preprint
Pubblicazione: 2024
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author Alexakis, Spyros
An, Zhongshan
Ellithy, Ahmed
Huang, Lan-Hsuan
author_facet Alexakis, Spyros
An, Zhongshan
Ellithy, Ahmed
Huang, Lan-Hsuan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02802
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres
Alexakis, Spyros
An, Zhongshan
Ellithy, Ahmed
Huang, Lan-Hsuan
Differential Geometry
General Relativity and Quantum Cosmology
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.
title Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres
topic Differential Geometry
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2411.02802