Scattering of linear Dirac fields by a spherically symmetric black-hole. (English) Zbl 0826.53072

Nicolas, J.-P.

Ann. Inst. Henri Poincaré, Phys. Théor. 62, No. 2, 145-179 (1995).

This paper presents a time-dependent scattering theory for the linear massless Dirac system on a general Schwarzschild-type metric which covers all the usual cases of spherical black-holes. After presenting the covariant generalization of the linear Dirac system on Schwarzschild-type metrics, the existence of classical wave operators is demonstrated using Cook’s method. There is also demonstrated the asymptotic completeness of classical wave operators at the horizon of the black-hole and at infinity based on the results of A. Bachelot and A. Motet-Bachelot [Ann. Inst. Henri Poincaré, Phys. Théor. 59, No. 1, 3-68 (1993; Zbl 0793.53094)]. The methods in this paper seem to be suitable for demonstrating the existence and asymptotic completeness of Dollard- modified wave operators at infinity.

Reviewer: I.Gottlieb (Iaşi)

MSC:

53Z05	Applications of differential geometry to physics
83C57	Black holes

Keywords:

time-dependent scattering; linear massless Dirac system; spherical black- holes; classical wave operators

Citations:

Zbl 0793.53094

References:

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