Asymptotics for scalar perturbations from a neighborhood of the bifurcation sphere
DOI10.1088/1361-6382/aacc1ezbMath1409.83006arXiv1802.05692OpenAlexW2787439195MaRDI QIDQ3120840
Stefanos Aretakis, Dejan Gajic, Yannis Angelopoulos
Publication date: 19 March 2019
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.05692
wave equationconservation lawlate-time asymptoticsSchwarzschild metricpower law tailsNewman-Penrose constantbifurcation sphere
Wave equation (35L05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Bifurcations in context of PDEs (35B32)
Related Items
Cites Work
- 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
- Decay of linear waves on higher-dimensional Schwarzschild black holes
- Price's law on nonstationary space-times
- Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes
- Black holes without spacelike singularities
- Global analysis of quasilinear wave equations on asymptotically de Sitter spaces
- 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
- The trapping effect on degenerate horizons
- A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta
- Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
- 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
- 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
- Instability results for the wave equation in the interior of Kerr black holes
- Radiation fields on Schwarzschild spacetime
- Hidden symmetries and decay for the wave equation on the Kerr spacetime
- Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations
- 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
- Linear waves in the interior of extremal black holes. II
- Asymptotics of scalar waves on long-range asymptotically Minkowski spaces
- Is there a breakdown of effective field theory at the horizon of an extremal black hole?
- Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds
- Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\)
- Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole
- Linear waves in the interior of extremal black holes. I
- A proof of Price's law for the collapse of a self-gravitating scalar field
- Decay Properties of Klein-Gordon Fields on Kerr-AdS Spacetimes
- A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
- Spectral decomposition of the perturbation response of the Schwarzschild geometry
- The red‐shift effect and radiation decay on black hole spacetimes
- Linear stability of Schwarzschild under perturbations which are non-vanishing on the bifurcation 2-sphere
- Comments on tails in Schwarzschild spacetimes
- Late-Time Decay of Scalar Perturbations Outside Rotating Black Holes
- The interior of charged black holes and the problem of uniqueness in general relativity
- Local decay of waves on asymptotically flat stationary space-times
- A note on instabilities of extremal black holes under scalar perturbations from afar
- Lectures on black holes and linear waves
- Late-time tails in the Kerr spacetime
- What happens at the horizon(s) of an extreme black hole?
- Horizon instability of extremal black holes