Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..18.1030s&link_type=abstract
Physical Review - Particles and Fields, 3rd Series, vol. 18, Aug. 15, 1978, p. 1030-1036.
Astronomy and Astrophysics
Astronomy
87
Absorption Cross Sections, Absorption Spectra, Black Holes (Astronomy), Emission Spectra, Schwarzschild Metric, Absorptivity, Angular Momentum, High Frequencies, Low Frequencies, Oscillations, Phase Shift, Quantum Mechanics, Wave Equations, Wave Scattering
Scientific paper
The absorption spectrum of a Schwarzschild black hole is studied in detail. Accurate and useful computational methods based on the analytical resolution of the wave equation are developed. In this way phase shifts and absorption cross sections are obtained for a wide range of energy and angular momentum. Comparison with the explicit results valid for low and high frequencies is made. The total absorption cross section of the black hole is obtained as a function of the energy. It presents behavior characteristic of a diffraction pattern. The constant geometric-optics limit is approached in an oscillatory fashion. The physical interpretation of these results is given and a simple model which describes qualitatively the absorption of waves by the black hole is presented. From these absorption parameters, the Hawking emission rates are calculated and their properties discussed.
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