Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes
From MaRDI portal
Publication:1661426
DOI10.1007/s40818-018-0047-yzbMath1396.83018arXiv1612.04489OpenAlexW3100119025WikidataQ129991185 ScholiaQ129991185MaRDI QIDQ1661426
Publication date: 16 August 2018
Published in: Annals of PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.04489
Asymptotic behavior of solutions to PDEs (35B40) Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational waves (83C35) Einstein-Maxwell equations (83C22)
Related Items
Strong cosmic censorship: taking the rough with the smooth ⋮ Quasi-normal modes for Dirac fields in the Kerr–Newman–de Sitter black holes ⋮ Electromagnetic-gravitational perturbations of Kerr–Newman spacetime: The Teukolsky and Regge–Wheeler equations ⋮ Stability of Minkowski space and polyhomogeneity of the metric ⋮ The linear stability of Reissner-Nordström spacetime for small charge ⋮ Linear stability of slowly rotating Kerr black holes ⋮ Slow decay of waves in gravitational solitons ⋮ Bounded energy waves on the black hole interior of Reissner-Nordström-de Sitter ⋮ Normally hyperbolic trapping on asymptotically stationary spacetimes ⋮ Investigations of strong cosmic censorship in 3-dimensional black strings ⋮ Strong cosmic censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime ⋮ Exterior stability of Minkowski space in generalized harmonic gauge ⋮ On the non-linear stability of the Cosmological region of the Schwarzschild-de Sitter spacetime ⋮ Singularities in 2D and 3D quantum black holes ⋮ Decay of the local energy for the charged Klein-Gordon equation in the exterior de Sitter-Reissner-Nordström spacetime ⋮ Boundedness and decay for the Teukolsky system of spin \(\pm 2\) on Reissner-Nordström spacetime: the case \(|Q| \ll M\) ⋮ Recent progress in general relativity ⋮ Uniqueness of Kerr-Newman-de Sitter black holes with small angular momenta ⋮ The linear stability of Reissner-Nordström spacetime: the full subextremal range \(|Q|<M\) ⋮ The formation of trapped surfaces in the gravitational collapse of spherically symmetric scalar fields with a positive cosmological constant ⋮ Charged fermions and strong cosmic censorship ⋮ Strong cosmic censorship in Horndeski theory ⋮ A new type of charged black hole bomb ⋮ The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge ⋮ Cosmic no-hair in spherically symmetric black hole spacetimes ⋮ Rough initial data and the strength of the blue-shift instability on cosmological black holes with Λ > 0 ⋮ Strong cosmic censorship and eigenvalue repulsions for rotating de Sitter black holes in higher-dimensions ⋮ Existence of exponentially growing finite energy solutions for the charged Klein–Gordon equation on the de Sitter–Kerr–Newman metric ⋮ Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates ⋮ How general is the strong cosmic censorship bound for quasinormal modes?
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).
- Spectral gaps for normally hyperbolic trapping
- The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes
- Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
- The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates
- Price's law on nonstationary space-times
- Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes
- On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant
- Global analysis of quasilinear wave equations on asymptotically de Sitter spaces
- Resonances for asymptotically hyperbolic manifolds: Vasy's method revisited
- Mathematical study of scattering resonances
- Quantum decay rates in chaotic scattering
- Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
- Resolvent estimates for normally hyperbolic trapped sets
- Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations. I
- Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations. II
- Hidden symmetries and decay for the wave equation on the Kerr spacetime
- Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes
- A simple Nash-Moser implicit function theorem
- Future stability of the Einstein-non-linear scalar field system
- Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric
- The global stability of Minkowski space-time in harmonic gauge
- Strichartz estimates on Schwarzschild black hole backgrounds
- Decay of solutions of the wave equation in the Kerr geometry
- A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces
- The wave equation on asymptotically de Sitter-like spaces
- On the hyperbolicity of Einstein's and other gauge field equations
- On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
- Existence of metrics with prescribed Ricci curvature: Local theory
- Einstein metrics with prescribed conformal infinity on the ball
- On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations
- Distribution of resonances for spherical black holes
- Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations
- The global non-linear stability of the Kerr-de Sitter family of black holes
- On the global stability of the wave-map equation in Kerr spaces with small angular momentum
- The \(r^{p}\)-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications
- On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant. III: Mass inflation and extendibility of the solutions
- Asymptotics of scalar waves on long-range asymptotically Minkowski spaces
- KIDs are non-generic
- Global existence for the Einstein vacuum equations in wave coordinates
- Partial differential equations. 1: Basic theory
- Strichartz estimates on asymptotically de Sitter spaces
- Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes
- Global results for linear waves on expanding Kerr and Schwarzschild de Sitter cosmologies
- Non-trapping estimates near normally hyperbolic trapping
- Resonance expansions for tensor-valued waves on asymptotically Kerr-de Sitter spaces
- Stability of multidimensional black holes: complete numerical analysis
- Linear stability of the non-extreme Kerr black hole
- Exponential energy decay for Kerr-de Sitter black holes beyond event horizons
- A gluing construction for non-vacuum solutions of the Einstein-constraint equations
- Quantitative mode stability for the wave equation on the Kerr spacetime
- On quasinormal modes of asymptotically anti-de Sitter black holes
- Hamilton-Jacobi and Schrödinger separable solutions of Einstein's equations
- Global aspects of the Cauchy problem in general relativity
- Existence and stability of even-dimensional asymptotically de Sitter spaces
- A proof of Price's law for the collapse of a self-gravitating scalar field
- The linear stability of the Schwarzschild solution to gravitational perturbations
- Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
- Strong Cosmic Censorship for Surface-Symmetric Cosmological Spacetimes with Collisionless Matter
- Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior
- Mode stability of the Kerr black hole
- A Local Energy Estimate on Kerr Black Hole Backgrounds
- Stability of a Schwarzschild Singularity
- Asymptotics of radiation fields in asymptotically Minkowski space
- DECAY OF THE MAXWELL FIELD ON THE SCHWARZSCHILD MANIFOLD
- The red‐shift effect and radiation decay on black hole spacetimes
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Linear stability of Schwarzschild under perturbations which are non-vanishing on the bifurcation 2-sphere
- Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter group SO(N,1)
- Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
- Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces
- Master Equations for Perturbations of Generalised Static Black Holes with Charge in Higher Dimensions
- Stability of Higher-Dimensional Schwarzschild Black Holes
- A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions
- SCATTERING OF MASSLESS DIRAC FIELDS BY A KERR BLACK HOLE
- Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
- Local decay of waves on asymptotically flat stationary space-times
- Lectures on black holes and linear waves
- On the global uniqueness for the Einstein–Maxwell-scalar field system with a cosmological constant: I. Well posedness and breakdown criterion
- A simple proof of Birkhoff's theorem for cosmological constant
- Local Energy Decay for Maxwell Fields Part I: Spherically Symmetric Black-Hole Backgrounds
- Measurements of Ω and Λ from 42 High‐Redshift Supernovae
- Analysis of linear waves near the Cauchy horizon of cosmological black holes
- Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces
- Constraint damping in the Z4 formulation and harmonic gauge
- General Relativity
- Invariant manifolds
- On the existence of a maximal Cauchy development for the Einstein equations: a dezornification
