Conformal scattering and the Goursat problem for Dirac fields in the interior of charged spherically symmetric black holes

DOI10.1142/S0129055X21500379zbMath1483.35171arXiv2101.04166WikidataQ113268625 ScholiaQ113268625MaRDI QIDQ5069292

Mokdad Mokdad

Publication date: 8 April 2022

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

Full work available at URL: https://arxiv.org/abs/2101.04166

zbMATH Keywords

Reissner-Nordström metricDirac equationGoursat problemconformal scattering theoryblack hole interior

Mathematics Subject Classification ID

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

Related Items (3)

Conformal scattering theory for the Dirac equation on Kerr spacetime ⋮ On the scattering of waves inside charged spherically symmetric black holes ⋮ Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime

Cites Work

• Conformal scattering on the Schwarzschild metric
• Decay of Maxwell fields on Reissner-Nordström-de Sitter black holes
• Conformal scattering of Maxwell fields on Reissner-Nordström-de Sitter Black Hole spacetimes
• A scattering theory for linear waves on the interior of Reissner-Nordström black holes
• A remark on the characteristic Cauchy problem
• Scattering theory for Dirac fields inside a Reissner–Nordström-type black hole
• Reissner–Nordstrøm–de Sitter manifold: photon sphere and maximal analytic extension
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