Scattering Theory for the Charged Klein-Gordon Equation in the Exterior De Sitter-Reissner-Nordström Spacetime

2019/11/28 by Nicolas Besset, Besset, Nicolas
Mathematics · Medicine · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Classical mechanics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #FOS: Mathematics #FOS: Physical sciences #Geodesic #Klein–Gordon equation #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum electrodynamics #Quantum mechanics #Scattering #Schwarzschild radius #Soft tissue tumor case studies #Spacetime #Universe #de Sitter invariant special relativity #de Sitter–Schwarzschild metric #math-ph #math.AP #math.MP

paper · pdf · open access · doi:10.48550/arxiv.1911.12869

published in arXiv (Cornell University) (Cornell University)

arxiv created 2019/11/28 · openalex publication_date 2019/11/28 · arxiv updated 2020/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

We show asymptotic completeness for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordström spacetime when the product of the charge of the black hole with the charge of Klein-Gordon field is small enough. We then interpret scattering as asymptotic transports along principal null geodesics in a Kaluza-Klein extension of the original spacetime.

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