Boundedness of massless scalar waves on Kerr interior backgrounds
DOI10.1007/s00023-020-00900-wzbMath1435.83082arXiv1908.10856OpenAlexW2970382594MaRDI QIDQ2308084
Publication date: 25 March 2020
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.10856
Black holes (83C57) Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Exact solutions to problems in general relativity and gravitational theory (83C15) Initial value problems for second-order hyperbolic equations (35L15) Einstein equations (35Q76)
Related Items (16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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 \(|a| < M\).
- The global structure of spherically symmetric charged scalar field spacetimes
- Decay of linear waves on higher-dimensional Schwarzschild black holes
- Price's law on nonstationary space-times
- Black holes without spacelike singularities
- On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant
- Time-translation invariance of scattering maps and blue-shift instabilities on Kerr black hole spacetimes
- Proof of linear instability of the Reissner-Nordström Cauchy horizon under scalar perturbations
- A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
- 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
- Instability results for the wave equation in the interior of Kerr black holes
- Hidden symmetries and decay for the wave equation on the Kerr spacetime
- The formation of black holes in general relativity.
- Perturbative approach to the inner structure of a rotating black hole
- 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
- Stability and instability of the sub-extremal Reissner-Nordström black hole interior for the Einstein-Maxwell-Klein-Gordon equations in spherical symmetry
- 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
- On the occurrence of mass inflation for the Einstein-Maxwell-Scalar field system with a cosmological constant and an exponential price law
- Bounded energy waves on the black hole interior of Reissner-Nordström-de Sitter
- Boundedness and decay of scalar waves at the Cauchy horizon of the Kerr spacetime
- Linear waves in the interior of extremal black holes. II
- Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds
- A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole
- Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region
- Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data. I: The interior of the black hole region
- Linear waves in the interior of extremal black holes. I
- Quantitative mode stability for the wave equation on the Kerr spacetime
- On quadratic first integrals of the geodesic equations for type [22 spacetimes]
- 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
- Mode stability of the Kerr black hole
- A Local Energy Estimate on Kerr Black Hole Backgrounds
- Rough initial data and the strength of the blue-shift instability on cosmological black holes with Λ > 0
- Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
- Inner structure of a charged black hole: An exact mass-inflation solution
- Structure of the singularity inside a realistic rotating black hole
- Weak null singularities in general relativity
- The interior of charged black holes and the problem of uniqueness in general relativity
- Quasi-spherical light cones of the Kerr geometry
- A Relativist's Toolkit
- On the global initial value problem and the issue of singularities
- 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
- Analysis of linear waves near the Cauchy horizon of cosmological black holes
This page was built for publication: Boundedness of massless scalar waves on Kerr interior backgrounds