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Linear stability of slowly rotating Kerr black holes (Q2661170)

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Language	Label	Description	Also known as
English	Linear stability of slowly rotating Kerr black holes	scientific article

Statements

scholarly article

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Linear stability of slowly rotating Kerr black holes (English)

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Dietrich Häfner

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Inventiones Mathematicae

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publication date

1 April 2021

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full work available at URL

https://arxiv.org/abs/1906.00860

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zbMATH Keywords

Kerr black hole

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stability

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MaRDI profile type

MaRDI publication profile

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Charges for linearized gravity

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Hidden symmetries and decay for the wave equation on the Kerr spacetime

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Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior

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Rigidity of stationary black holes with small angular momentum on the horizon

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Mode stability on the real axis

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Distribution of resonances for spherical black holes

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Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric

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Low frequency resolvent estimates for long range perturbations of the Euclide Laplace

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DECAY OF THE MAXWELL FIELD ON THE SCHWARZSCHILD MANIFOLD

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Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires

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Global aspects of the Cauchy problem in general relativity

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Stationary black holes: uniqueness and beyond

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Semiclassical non-concentration near hyperbolic orbits

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Existence of metrics with prescribed Ricci curvature: Local theory

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Fourier integral operators. II

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Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\)

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The linear stability of the Schwarzschild solution to gravitational perturbations

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Quasinormal modes of asymptotically flat rotating black holes

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A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds

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Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).

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On pointwise decay of linear waves on a Schwarzschild black hole background

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Exponential energy decay for Kerr-de Sitter black holes beyond event horizons

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Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole

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Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes

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Asymptotics of linear waves and resonances with applications to black holes

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Resonance projectors and asymptotics for 𝑟-normally hyperbolic trapped sets

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Spectral gaps for normally hyperbolic trapping

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Mathematical Theory of Scattering Resonances

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Decay of solutions of the wave equation in the Kerr geometry

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Radiation fields and hyperbolic scattering theory

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On the hyperbolicity of Einstein's and other gauge field equations

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On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure

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Linear stability of the non-extreme Kerr black hole

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Constraint damping in the Z4 formulation and harmonic gauge

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Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I.

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Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II.

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A space-time calculus based on pairs of null directions

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Resolvent at low energy III: The spectral measure

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Teukolsky formalism for nonlinear Kerr perturbations

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The linear stability of Reissner-Nordström spacetime for small charge

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Einstein metrics with prescribed conformal infinity on the ball

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Semiclassical resonances generated by a closed trajectory of hyperbolic type

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Resonance expansions for tensor-valued waves on asymptotically Kerr-de Sitter spaces

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Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes

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Uniqueness of Kerr-Newman-de Sitter black holes with small angular momenta

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The analysis of linear partial differential operators. II: Differential operators with constant coefficients

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The analysis of linear partial differential operators. III: Pseudo-differential operators

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Invariant manifolds

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Propagation of Singularities Around a Lagrangian Submanifold of Radial Points

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Non-trapping estimates near normally hyperbolic trapping

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Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes

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Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces

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Asymptotics for the wave equation on differential forms on Kerr-de Sitter space

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The global non-linear stability of the Kerr-de Sitter family of black holes

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Stability of Minkowski space and polyhomogeneity of the metric

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Stability of black holes and black branes

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On the uniqueness of smooth, stationary black holes in vacuum

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On the global stability of the wave-map equation in Kerr spaces with small angular momentum

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The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge

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Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics

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A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions

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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

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Linear stability of Schwarzschild under perturbations which are non-vanishing on the bifurcation 2-sphere

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The global stability of Minkowski space-time in harmonic gauge

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Global existence for quasilinear wave equations close to Schwarzschild

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A local energy estimate for wave equations on metrics asymptotically close to Kerr

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The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes

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Elliptic theory of differential edge operators I

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Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds

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Strichartz estimates on Schwarzschild black hole backgrounds

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Black holes in higher dimensional space-times

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Asymptotics of Solutions of the Wave Equation on de Sitter-Schwarzschild Space

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Price's law on nonstationary space-times

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Pointwise decay for the Maxwell field on black hole space-times

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An Approach to Gravitational Radiation by a Method of Spin Coefficients

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Decay of correlations for normally hyperbolic trapping

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The spin \(\pm 1\) Teukolsky equations and the Maxwell system on Schwarzschild

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Quasi-spherical light cones of the Kerr geometry

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Canonical energy and Hertz potentials for perturbations of Schwarzschild spacetime

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Stability of a Schwarzschild Singularity

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Quantitative mode stability for the wave equation on the Kerr spacetime

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Local Energy Decay for Maxwell Fields Part I: Spherically Symmetric Black-Hole Backgrounds

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A simple proof of Birkhoff's theorem for cosmological constant

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Local decay of waves on asymptotically flat stationary space-times

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Partial differential equations. I: Basic theory

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Strichartz estimates on Kerr black hole backgrounds

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A Local Energy Estimate on Kerr Black Hole Backgrounds

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Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)

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Morawetz estimates for the wave equation at low frequency

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Semiclassical estimates in asymptotically Euclidean scattering

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On quasinormal modes of asymptotically anti-de Sitter black holes

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Mode stability of the Kerr black hole

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Resolvent estimates for normally hyperbolic trapped sets

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Resonances for asymptotically hyperbolic manifolds: Vasy's method revisited

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Mathematical study of scattering resonances

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Identifiers

zbMATH Open document ID

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10.1007/s00222-020-01002-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2661170

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