Unstable mode solutions to the Klein-Gordon equation in Kerr-anti-de Sitter spacetimes

DOI10.1007/s00220-016-2783-8zbMath1362.35300arXiv1509.04971OpenAlexW2255348976WikidataQ59615039 ScholiaQ59615039MaRDI QIDQ514309

Dominic Dold

Publication date: 1 March 2017

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

Full work available at URL: https://arxiv.org/abs/1509.04971

zbMATH Keywords

instabilityKlein-Gordon equationKerr-anti-de Sitter spacetimemode solution

Mathematics Subject Classification ID

Black holes (83C57) Second-order nonlinear hyperbolic equations (35L70) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Einstein equations (35Q76)

Related Items (11)

Hidden spectral symmetries and mode stability of subextremal Kerr(-de Sitter) black holes ⋮ Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes ⋮ Existence of quasinormal modes for Kerr-AdS black holes ⋮ Uniform boundedness and continuity at the Cauchy horizon for linear waves on Reissner-Nordström-AdS black holes ⋮ The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes ⋮ Recent progress in general relativity ⋮ Blowup of the local energy of linear waves at the Reissner–Nordström–AdS Cauchy horizon ⋮ A new type of charged black hole bomb ⋮ Mode stability results for the Teukolsky equations on Kerr–anti-de Sitter spacetimes ⋮ The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves ⋮ Diophantine approximation as cosmic censor for Kerr-AdS black holes

Cites Work

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• Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).
• The massive wave equation in asymptotically AdS spacetimes
• Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes
• On the massive wave equation on slowly rotating Kerr-AdS spacetimes
• On the nonlinear stability of higher dimensional triaxial Bianchi-IX black holes
• Stability in gauged extended supergravity
• The wave equation on asymptotically anti de Sitter spaces
• Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes
• Asymptotic properties of linear field equations in anti-De Sitter space
• Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes
• Hamilton-Jacobi and Schrödinger separable solutions of Einstein's equations
• Decay Properties of Klein-Gordon Fields on Kerr-AdS Spacetimes
• WELL-POSEDNESS FOR THE MASSIVE WAVE EQUATION ON ASYMPTOTICALLY ANTI-DE SITTER SPACETIMES
• A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
• Dynamics in non-globally-hyperbolic static spacetimes: III. Anti-de Sitter spacetime
• On the uniqueness and global dynamics of AdS spacetimes
• Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators
• Gravitational turbulent instability of anti-de Sitter space
• On the nonlinear stability of asymptotically anti-de Sitter solutions
• Instability of Anti-de Sitter Spacetime

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