The Goursat problem at the horizons for the Klein–Gordon equation on the de Sitter–Kerr metric

DOI10.1142/S0219891621500193zbMath1478.35182arXiv2005.12590OpenAlexW3214738716WikidataQ115245153 ScholiaQ115245153MaRDI QIDQ5024432

Pascal Millet

Publication date: 31 January 2022

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12590

zbMATH Keywords

Klein-Gordon equationscattering theoryGoursat problemDe Sitter-Kerr metric

Mathematics Subject Classification ID

Black holes (83C57) PDEs in connection with quantum mechanics (35Q40) PDEs in connection with relativity and gravitational theory (35Q75)

Cites Work

• Unnamed Item
• Conformal scattering on the Schwarzschild metric
• Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime
• Semigroups of linear operators and applications to partial differential equations
• Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric
• Scattering theory for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordström spacetime
• The Kerr–de Sitter universe
• Creation of fermions by rotating charged black holes
• 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
• Existence of exponentially growing finite energy solutions for the charged Klein–Gordon equation on the de Sitter–Kerr–Newman metric
• Maximal Kerr–de Sitter spacetimes

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