Conformal Scattering of Maxwell Fields on Reissner-Nordstrøm-de Sitter Black Hole Spacetimes

Abstract

We construct a complete conformal scattering theory for Maxwell fields in the static exterior region of a Reissner-Nordstrøm-de Sitter black bole spacetime. This is done using uniform energy decay results that we obtain in a separate paper, to show that the trace operators are injective and have closed ranges. We then solve the Goursat problem (characteristic Cauchy problem) for Maxwell fields on the null boundaries showing that the trace operators are also surjective.

arXiv comment30 pages

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Cited by in corpus (8)

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• Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime
• Scattering theory for Dirac fields inside a Reissner-Nordström-type black hole
• Conformal scattering theory for the Dirac field on Kerr spacetime
• Cauchy and Goursat problems for the generalized spin zero rest-mass fields on Minkowski spacetime
• On the Scattering of Waves inside Charged Spherically Symmetric Black Holes
• Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime
• Conformal Scattering of Maxwell Potentials