Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations. I

DOI10.1007/s00220-011-1254-5zbMath1229.85002arXiv1110.2007OpenAlexW2100194997MaRDI QIDQ644748

Stefanos Aretakis

Publication date: 7 November 2011

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

Full work available at URL: https://arxiv.org/abs/1110.2007

Mathematics Subject Classification ID

Black holes (83C57) Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Electromagnetic fields in general relativity and gravitational theory (83C50) Space-time singularities, cosmic censorship, etc. (83C75) Galactic and stellar dynamics (85A05) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Einstein-Maxwell equations (83C22)

Related Items (69)

Linear waves in the interior of extremal black holes. I ⋮ Boundedness of massless scalar waves on Reissner-Nordström interior backgrounds ⋮ Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\). ⋮ On the horizon instability of an extreme Reissner-Nordström black hole ⋮ Instability of supersymmetric microstate geometries ⋮ Dynamical AdS strings across horizons ⋮ Hairy black holes in \(N=2\) gauged supergravity ⋮ Nonlinear interactions between black holes and Proca fields ⋮ Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes ⋮ The characteristic gluing problem and conservation laws for the wave equation on null hypersurfaces ⋮ Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes ⋮ Aspects of semiclassical black holes: development and open problems ⋮ The global structure of spherically symmetric charged scalar field spacetimes ⋮ Bounded energy waves on the black hole interior of Reissner-Nordström-de Sitter ⋮ Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes ⋮ Scattering theory for Dirac fields near an extreme Kerr-De Sitter black hole ⋮ Characteristic gluing to the Kerr family and application to spacelike gluing ⋮ Decay estimates for the massless Vlasov equation on Schwarzschild spacetimes ⋮ Linear waves in the interior of extremal black holes. II ⋮ Gradient flow of Einstein-Maxwell theory and Reissner-Nordström black holes ⋮ Lux in obscuro: photon orbits of extremal black holes revisited ⋮ Morawetz estimates without relative degeneration and exponential decay on Schwarzschild-de Sitter spacetimes ⋮ Price's law and precise late-time asymptotics for subextremal Reissner-Nordström black holes ⋮ Analysis of linear waves near the Cauchy horizon of cosmological black holes ⋮ Small deformations of extreme five dimensional Myers-Perry black hole initial data ⋮ Late-time tails and mode coupling of linear waves on Kerr spacetimes ⋮ Recent progress in general relativity ⋮ Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes ⋮ General first-order mass ladder operators for Klein–Gordon fields ⋮ Almost all extremal black holes in AdS are singular ⋮ A swamp of non-SUSY vacua ⋮ A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds ⋮ Is there a breakdown of effective field theory at the horizon of an extremal black hole? ⋮ Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations. I ⋮ Semi-local quantum criticality and the instability of extremal planar horizons ⋮ Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds ⋮ A non-degenerate scattering theory for the wave equation on extremal Reissner-Nordström ⋮ The linear stability of Reissner-Nordström spacetime: the full subextremal range \(|Q|<M\) ⋮ Black holes without spacelike singularities ⋮ A model problem for quasinormal ringdown of asymptotically flat or extremal black holes ⋮ Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations. II ⋮ Exotic holographic dispersion ⋮ Subleading BMS charges and fake news near null infinity ⋮ Near-extremal black holes at late times, backreacted ⋮ A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes ⋮ Instabilities of extremal rotating black holes in higher dimensions ⋮ Time-translation invariance of scattering maps and blue-shift instabilities on Kerr black hole spacetimes ⋮ Extremal tunneling and anti-de Sitter instantons ⋮ Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes ⋮ The trapping effect on degenerate horizons ⋮ Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds ⋮ Global results for linear waves on expanding Kerr and Schwarzschild de Sitter cosmologies ⋮ Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region ⋮ An approach to stability analyses in general relativity via symplectic geometry ⋮ A class of conformal curves in the Reissner-Nordström spacetime ⋮ Quasinormal modes in extremal Reissner-Nordström spacetimes ⋮ Horizon instability of massless scalar perturbations of an extreme Reissner-Nordström-AdS black hole ⋮ A perturbative perspective on self-supporting wormholes ⋮ On late time tails in an extreme Reissner–Nordström black hole: frequency domain analysis ⋮ Boundedness of massless scalar waves on Kerr interior backgrounds ⋮ Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity ⋮ Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes ⋮ Horizon instability of the extremal BTZ black hole ⋮ Asymptotics for scalar perturbations from a neighborhood of the bifurcation sphere ⋮ Localized Energy Estimates for Wave Equations on (1+4)-dimensional Myers--Perry Space-times ⋮ Asymptotics of linear waves and resonances with applications to black holes ⋮ On the stability of a wormhole in the maximally-extended Reissner–Nordström solution ⋮ The Kerr/CFT correspondence and its extensions ⋮ Classification of near-horizon geometries of extremal black holes

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