SCATTERING OF MASSLESS DIRAC FIELDS BY A KERR BLACK HOLE

DOI10.1142/S0129055X04001911zbMath1064.83036OpenAlexW2109768849MaRDI QIDQ4818933

Dietrich Häfner, Jean-Philippe Nicolas

Publication date: 24 September 2004

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x04001911

zbMATH Keywords

scattering theorygeneral relativityDirac equationGoursat problemKerr metric

Mathematics Subject Classification ID

Black holes (83C57) Quantum field theory on curved space or space-time backgrounds (81T20) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (28)

Scattering for massive Dirac fields on the Kerr metric ⋮ CONFORMAL SCATTERING FOR A NONLINEAR WAVE EQUATION ⋮ Conformal scattering on the Schwarzschild metric ⋮ Conformal scattering theory for the Dirac equation on Kerr spacetime ⋮ On the scattering of waves inside charged spherically symmetric black holes ⋮ Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes ⋮ Scattering theory for Dirac fields near an extreme Kerr-De Sitter black hole ⋮ Hidden symmetries and decay for the wave equation on the Kerr spacetime ⋮ Conformal scattering of the Maxwell-scalar field system on de Sitter space ⋮ Peeling of Dirac field on Kerr spacetime ⋮ The Unruh state for massless fermions on Kerr spacetime and its Hadamard property ⋮ Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime ⋮ Inverse scattering at fixed energy in de Sitter-Reissner-Nordström black holes ⋮ A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds ⋮ Scattering theory for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordström spacetime ⋮ The Dirac system on the anti-de Sitter universe ⋮ Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes ⋮ Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential ⋮ Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric ⋮ Propagation estimates for Dirac operators and application to scattering theory. ⋮ DECAY OF THE MAXWELL FIELD ON THE SCHWARZSCHILD MANIFOLD ⋮ Scattering theory for Dirac fields inside a Reissner–Nordström-type black hole ⋮ Unnamed Item ⋮ Linear waves in the Kerr geometry: A mathematical voyage to black hole physics ⋮ Sharp decay estimates for massless Dirac fields on a Schwarzschild background ⋮ The Dirac equation in Kerr–Newman–Ads black hole background ⋮ Time-dependent scattering theory for charged Dirac fields on a Reissner–Nordström black hole ⋮ The Goursat problem at the horizons for the Klein–Gordon equation on the de Sitter–Kerr metric

Cites Work

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