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Scattering of scalar fields by spherical gravitational collapse. (English) Zbl 0872.53066

The paper studies by a precise mathematical analysis the scattering of classical scalar fields by black-hole information. The main point of interest is the infinite Doppler effect measured by an observer at rest in Schwarzschild coordinates. The functional framework associated with this phenomenon is constructed. The existence and strong asymptotic completeness of the wave operators are proven.

MSC:

53Z05 Applications of differential geometry to physics
83C57 Black holes
83C47 Methods of quantum field theory in general relativity and gravitational theory
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