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

DOI10.1088/1361-6382/abc81azbMath1479.83016arXiv2008.07396OpenAlexW3096677638MaRDI QIDQ5162495

Arick Shao

Publication date: 2 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07396

zbMATH Keywords

relativityasymptotically AdSanti de-Sitter spacetimeEinstein-vacuumFefferman-Graham

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Exact solutions to problems in general relativity and gravitational theory (83C15) Conformal structures on manifolds (53C18)

Related Items (1)

The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes

Cites Work

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• Unique continuation from infinity in asymptotically anti-de Sitter spacetimes
• Unique continuation and extensions of Killing vectors at boundaries for stationary vacuum space-times
• The asymptotically self-similar regime for the Einstein vacuum equations
• Boundary regularity of conformally compact Einstein metrics
• Erratum to ``Unique continuation results for Ricci curvature and applications
• Unique continuation at the conformal infinity for Einstein metrics
• A singular initial-boundary value problem for nonlinear wave equations and holography in asymptotically anti-de Sitter spaces
• The large-\(N\) limit of superconformal field theories and supergravity
• On a conjecture of Fefferman and Graham
• Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
• Unique continuation results for Ricci curvature and applications
• ASYMPTOTICALLY ANTI-DE SITTER SPACETIMES AND THEIR STRESS ENERGY TENSOR
• On the uniqueness and global dynamics of AdS spacetimes
• Diffeomorphisms and holographic anomalies
• Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries
• The Fefferman-Graham ambiguity and AdS black holes.
• Connectedness of the boundary in the AdS/CFT correspondence
• Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence

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