A sharp version of Price's law for wave decay on asymptotically flat spacetimes
DOI10.1007/s00220-021-04276-8zbMath1484.83012arXiv2004.01664OpenAlexW4200371003WikidataQ114852501 ScholiaQ114852501MaRDI QIDQ2070865
Publication date: 24 January 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.01664
Relativistic cosmology (83F05) Black holes (83C57) Wave equation (35L05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Equations of motion in general relativity and gravitational theory (83C10) Traveling wave solutions (35C07)
Related Items (15)
Cites Work
- 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)
- Price's law on nonstationary space-times
- Global analysis of quasilinear wave equations on asymptotically de Sitter spaces
- Resonances for asymptotically hyperbolic manifolds: Vasy's method revisited
- A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta
- Improved decay for solutions to the linear wave equation on a Schwarzschild black hole
- Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
- Resolvent estimates for normally hyperbolic trapped sets
- On pointwise decay of linear waves on a Schwarzschild black hole background
- A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes
- Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II.
- Instability results for the wave equation in the interior of Kerr black holes
- Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- 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
- Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I.
- 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
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Distribution of resonances for spherical black holes
- Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates.
- Semiclassical estimates in asymptotically Euclidean scattering
- The global non-linear stability of the Kerr-de Sitter family of black holes
- The \(r^{p}\)-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications
- Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
- Asymptotics of scalar waves on long-range asymptotically Minkowski spaces
- The spin \(\pm 1\) Teukolsky equations and the Maxwell system on Schwarzschild
- Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds
- Pointwise decay for the Maxwell field on black hole space-times
- A local energy estimate for wave equations on metrics asymptotically close to Kerr
- Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\)
- Low frequency resolvent estimates for long range perturbations of the Euclide Laplace
- The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge
- Locating resonances on hyperbolic cones
- Asymptotics of linear waves and resonances with applications to black holes
- Resonance expansions for tensor-valued waves on asymptotically Kerr-de Sitter spaces
- Morawetz estimates for the wave equation at low frequency
- The theory of Hahn-meromorphic functions, a holomorphic Fredholm theorem, and its applications
- Quantitative mode stability for the wave equation on the Kerr spacetime
- Effective limiting absorption principles, and applications
- Fourier integral operators. II
- 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
- Stability of Minkowski space and polyhomogeneity of the metric
- Linear stability of slowly rotating Kerr black holes
- Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior
- Resolvent at low energy III: The spectral measure
- The wave equation on the Schwarzschild metric II. Local decay for the spin-2 Regge–Wheeler equation
- Mode stability of the Kerr black hole
- A Local Energy Estimate on Kerr Black Hole Backgrounds
- Spectral decomposition of the perturbation response of the Schwarzschild geometry
- Strichartz estimates on Kerr black hole backgrounds
- On the radiation field of pulse solutions of the wave equation
- Local energy decay for scalar fields on time dependent non-trapping backgrounds
- 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
- Global solutions of nonlinear hyperbolic equations for small initial data
- Linear stability of Schwarzschild under perturbations which are non-vanishing on the bifurcation 2-sphere
- Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
- Global existence for nonlinear wave equations
- Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces
- Global existence for quasilinear wave equations close to Schwarzschild
- Local decay of waves on asymptotically flat stationary space-times
- Geometric and obstacle scattering at low energy
- Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
- Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach
- Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach
- Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity
- Mathematical Theory of Scattering Resonances
- Local Energy Decay for Maxwell Fields Part I: Spherically Symmetric Black-Hole Backgrounds
- Mode stability on the real axis
- Asymptotics of Solutions of the Wave Equation on de Sitter-Schwarzschild Space
- Late-time tails in the Kerr spacetime
- Late-time Kerr tails revisited
- The resolvent for Laplace-type operators on asymptotically conic spaces
This page was built for publication: A sharp version of Price's law for wave decay on asymptotically flat spacetimes