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Zbl 1059.83026
Häfner, Dietrich; Nicolas, Jean-Philippe
Scattering theory for the massless Dirac equation in the Kerr metric. (Théorie de la diffusion pour l'équation de Dirac sans masse dans la métrique de Kerr.) (French)
[J] Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 2002-2003, Exp. No. XXIII, 15 p. (2003).

This article is a short version of the authors' paper in [Rev. Math. Phys. 16, 29--123 (2004; Zbl 1064.83036)] where details of the proofs can be found. In both papers the massless Dirac equation is studied on a Kerr background. By using Mourre estimations in a suitably chosen Newman-Penrose tetrad, asymptotic completeness is established. Similar results are obtained for the horizon. A geometric interpretation is given.
[Christian Klein (Leipzig)]

MSC 2000:: *83C60 Spinor and twistor methods in general retativity
83C57 Black holes
83C15 Closed form solutions of equations in general relativity

Keywords: Dirac equation; Kerr metric

Citations: Zbl 1064.83036

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