×

Scattering operator for the Dirac system on the Schwarzschild metric. (Opérateur de diffusion pour le système de Dirac en métrique de Schwarzschild.) (French. Abridged English version) Zbl 0810.35137

Summary: We study the linear Dirac system outside a spherical black-hole. In the case of massless fields, we prove existence and asymptotic completeness of classical wave operators at the horizon of the black-hole and at infinity.

MSC:

35Q75 PDEs in connection with relativity and gravitational theory
58J65 Diffusion processes and stochastic analysis on manifolds
83C57 Black holes
85A15 Galactic and stellar structure
PDF BibTeX XML Cite