Null geodesics and improved unique continuation for waves in asymptotically anti-de Sitter spacetimes

DOI10.1088/1361-6382/abcfd1zbMath1480.83030arXiv2008.07416OpenAlexW3049761086MaRDI QIDQ5162543

Alex McGill, 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/2008.07416

zbMATH Keywords

wave equationrelativityunique continuationnull geodesicsCarleman estimateconformal boundaryKlein-Gordon

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Geodesics in global differential geometry (53C22) PDEs in connection with relativity and gravitational theory (35Q75) 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) Boundary value problems on manifolds (58J32) Conformal structures on manifolds (53C18)

Related Items (2)

A gauge-invariant unique continuation criterion for waves in asymptotically anti-de Sitter spacetimes ⋮ The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes

Cites Work

• Unique continuation from infinity in asymptotically anti-de Sitter spacetimes
• The massive wave equation in asymptotically AdS spacetimes
• Unique continuation and extensions of Killing vectors at boundaries for stationary vacuum space-times
• A generalized representation formula for systems of tensor wave equations
• Erratum to ``Unique continuation results for Ricci curvature and applications
• Unique continuation at the conformal infinity for Einstein metrics
• Stability in gauged extended supergravity
• Uniqueness in the Cauchy problem for operators with partially holomorphic coefficients
• The large-\(N\) limit of superconformal field theories and supergravity
• A non uniqueness result for operators of principal type
• The wave equation on asymptotically anti de Sitter spaces
• Unique continuation results for Ricci curvature and applications
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• Diffeomorphisms and holographic anomalies
• Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries
• Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
• General Relativity
• Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
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