The near-boundary geometry of Einstein-vacuum asymptotically anti-de Sitter spacetimes

被引：2
|
作者：
Shao, Arick [1 ]
机构：
[1] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England
来源：
CLASSICAL AND QUANTUM GRAVITY | 2021年 / 38卷 / 03期
基金：
英国工程与自然科学研究理事会;
关键词：
relativity; anti de-Sitter spacetime; asymptotically AdS; Fefferman– Graham; Einstein-vacuum; UNIQUE CONTINUATION; FEFFERMAN; INFINITY;
D O I：
10.1088/1361-6382/abc81a
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We study the geometry of a general class of vacuum asymptotically anti-de Sitter spacetimes near the conformal boundary. In particular, the spacetime is only assumed to have finite regularity, and it is allowed to have arbitrary boundary topology and geometry. For the main results, we derive limits at the conformal boundary of various geometric quantities, and we use these limits to construct partial Fefferman-Graham expansions from the boundary. The results of this article will be applied, in upcoming papers, toward proving symmetry extension and gravity-boundary correspondence theorems for vacuum asymptotically anti-de Sitter spacetimes.
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页数：55
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