Advances in Theoretical and Mathematical Physics

Volume 22 (2018)

Number 4

Scattering theory for the Dirac equation in Schwarzschild–Anti–de Sitter space-time

Pages: 1007 – 1069

DOI: https://dx.doi.org/10.4310/ATMP.2018.v22.n4.a3

Author

Guillaume Idelon-Riton (Institut Fourier, Université de Grenoble, Saint-Martin d’Hères, France)

Abstract

We show asymptotic completeness for linear massive Dirac fields on the Schwarzschild–Anti–de Sitter space-time. The proof is based on a Mourre estimate. We also construct an asymptotic velocity for this field.

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Published 5 December 2018