Sharp decay estimates for massless Dirac fields on a Schwarzschild background

DOI10.1016/j.jfa.2021.109375zbMath1503.83009arXiv2008.11429OpenAlexW3080600551MaRDI QIDQ2067067

Siyuan Ma, Lin Zhang

Publication date: 17 January 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.11429

zbMATH Keywords

Schwarzschild backgroundmassless DiracPrice's lawsharp decay

Mathematics Subject Classification ID

Black holes (83C57) Wave equation (35L05) Spectrum, resolvent (47A10) Spinor and twistor methods applied to problems in quantum theory (81R25) Propagation of singularities; initial value problems on manifolds (58J47) Particle decays (81U90)

Related Items (9)

Conformal scattering theory for the Dirac equation on Kerr spacetime ⋮ Global solution to the cubic Dirac equation in two space dimensions ⋮ Characteristic gluing to the Kerr family and application to spacelike gluing ⋮ Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture ⋮ Price's law for spin fields on a Schwarzschild background ⋮ Price's law and precise late-time asymptotics for subextremal Reissner-Nordström black holes ⋮ Sharp decay for Teukolsky equation in Kerr spacetimes ⋮ Almost Price's law in Schwarzschild and decay estimates in Kerr for Maxwell field ⋮ Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study

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 \(|a| < M\).
• Decay of linear waves on higher-dimensional Schwarzschild black holes
• Peeling of Dirac and Maxwell fields on a Schwarzschild background
• Asymptotic behavior of massless Dirac waves in Schwarzschild geometry
• Price's law on nonstationary space-times
• A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta
• A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
• 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
• The massive Dirac equation in Kerr geometry: separability in Eddington-Finkelstein-type coordinates and asymptotics
• Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole. II: linearized gravity
• Hidden symmetries and decay for the wave equation on the Kerr spacetime
• The global stability of Minkowski space-time in harmonic gauge
• Strichartz estimates on Schwarzschild black hole backgrounds
• Absence of singular continuous spectrum for certain self-adjoint operators
• Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry
• Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates.
• The Hawking effect for spin 1/2 fields
• Scattering on Reissner-Nordstrøm metric for massive charged spin 1/2 fields
• 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
• Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
• The spin \(\pm 1\) Teukolsky equations and the Maxwell system on Schwarzschild
• Pointwise decay for the Maxwell field on black hole space-times
• Linear stability of Schwarzschild spacetime: decay of metric coefficients
• The linear stability of Reissner-Nordström spacetime: the full subextremal range \(|Q|<M\)
• Peeling on Kerr spacetime: linear and semi-linear scalar fields
• Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\)
• Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region
• Morawetz estimate for linearized gravity in Schwarzschild
• Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole. I: Maxwell field
• The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge
• Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data. I: The interior of the black hole region
• Linear stability of the non-extreme Kerr black hole
• A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold
• The linear stability of the Schwarzschild solution to gravitational perturbations
• Linear stability of slowly rotating Kerr black holes
• Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds
• Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior
• Decay of solutions to the Maxwell equation on the Schwarzschild background
• A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
• A Local Energy Estimate on Kerr Black Hole Backgrounds
• Strichartz estimates on Kerr black hole backgrounds
• Stability of a Schwarzschild Singularity
• Scattering for massive Dirac fields on the Kerr metric
• 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
• The two-centre problem in general relativity: the scattering of radiation by two extreme Reissner–Nordström black-holes
• Late-Time Decay of Scalar Perturbations Outside Rotating Black Holes
• Edth-a differential operator on the sphere
• SCATTERING OF MASSLESS DIRAC FIELDS BY A KERR BLACK HOLE
• Local decay of waves on asymptotically flat stationary space-times
• Scattering theory for Dirac fields inside a Reissner–Nordström-type black hole
• Peeling of Dirac field on Kerr spacetime
• Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity
• A conserved energy for axially symmetric Newman–Penrose–Maxwell scalars on Kerr black holes
• Local Energy Decay for Maxwell Fields Part I: Spherically Symmetric Black-Hole Backgrounds
• Maximal Analytic Extension of the Kerr Metric
• Time decay for the nonlinear Klein-Gordon equation
• Type D Vacuum Metrics

This page was built for publication: Sharp decay estimates for massless Dirac fields on a Schwarzschild background