Asymptotic properties of linear field equations in anti-De Sitter space

DOI10.1007/s00220-019-03601-6zbMath1448.83003arXiv1502.04965OpenAlexW2984066464WikidataQ97523972 ScholiaQ97523972MaRDI QIDQ2304967

Jacques Smulevici, Gustav Holzegel, Jonathan Luk, Claude M. Warnick

Publication date: 9 March 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04965

zbMATH Keywords

linear perturbationsAnti-de Sitter space-time

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Electromagnetic fields in general relativity and gravitational theory (83C50) Gravitational energy and conservation laws; groups of motions (83C40) 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) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (15)

Unique continuation from infinity in asymptotically anti-de Sitter spacetimes ⋮ The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes ⋮ A proof of the instability of AdS for the Einstein-massless Vlasov system ⋮ Recent progress in general relativity ⋮ Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries ⋮ A proof of the instability of AdS for the Einstein-null dust system with an inner mirror ⋮ Unstable mode solutions to the Klein-Gordon equation in Kerr-anti-de Sitter spacetimes ⋮ The Klein–Gordon equation on the hyperboloidal anti-de Sitter Schwarzschild black hole ⋮ Singularities in general relativity ⋮ Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes ⋮ Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\) ⋮ Asymptotic properties of linear field equations in anti-De Sitter space ⋮ On Maxwell's equations on globally hyperbolic spacetimes with timelike boundary ⋮ Mode stability results for the Teukolsky equations on Kerr–anti-de Sitter spacetimes ⋮ Diophantine approximation as cosmic censor for Kerr-AdS black holes

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