Scattering theory for Dirac fields near an extreme Kerr-De Sitter black hole

DOI10.5802/aif.3553zbMath1516.35406arXiv2005.01036OpenAlexW3023533531MaRDI QIDQ6040269

Unnamed Author

Publication date: 24 May 2023

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01036

zbMATH Keywords

scatteringDirac equationMourre theoryextremal black holeKerr-De Sitter blackhole

Mathematics Subject Classification ID

Black holes (83C57) Scattering theory for PDEs (35P25) PDEs in connection with relativity and gravitational theory (35Q75) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• 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
• Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime
• Absence of singular continuous spectrum for certain self-adjoint operators
• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric
• The absence of normalizable time-periodic solutions for the Dirac equation in the Kerr–Newman–dS black hole background
• Dirac fields on asymptotically flat space-times
• SCATTERING OF MASSLESS DIRAC FIELDS BY A KERR BLACK HOLE
• Sur la théorie de la diffusion pour l'équation de Klein–Gordon dans la métrique de Kerr
• A remark about wave equations on the extreme Reissner–Nordström black hole exterior
• Maximal Kerr–de Sitter spacetimes
• 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 Dirac propagator in the extreme Kerr metric
• Spinor Structure of Space-Times in General Relativity. I
• Spinor Structure of Space-Times in General Relativity. II
• Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes
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