Quantum black holes and Hawking's radiation

Details Quantum black holes and Hawking's radiation Quantum black holes and Hawking's radiation

Nov 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991stin...9226833b&link_type=abstract

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Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Difference Equations, Dust, Energy Levels, Spherical Shells, Thin Walled Shells, Finite Difference Theory, Low Temperature, Spectra

Scientific paper

A black hole model with a self-gravitating charged spherical dust thin shell as a source is considered. The Schrodinger-type equation for such a model is derived. The equation appears to be a finite difference equation. A method for solving such an equation is proposed and the discrete spectrum of the bound state energy levels is found. The quantum black hole states are selected and investigated. It is shown that the black hole spectrum obtained is compatible with the existence of Hawking's radiation in the limit of low temperatures both for large and nearly extreme Reissner-Nordstrom black holes.

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