On the derivation of Hawking radiation associated with the formation of a black hole. (English) Zbl 0692.53040

Summary: We show how in gravitational collapse the Hawking radiation at large times is precisely related to a scaling limit on the sphere where the star radius crosses the Schwarzschild radius (as long as the back reaction of the radiation on the metric is neglected). For a free quantum field it can be exactly evaluated and the result agrees with Hawking’s prediction. For a realistic quantum field theory no evaluation based on general principles seems possible. The outcoming radiation depends on the field theoretical model.


53B50 Applications of local differential geometry to the sciences
83C75 Space-time singularities, cosmic censorship, etc.
81T20 Quantum field theory on curved space or space-time backgrounds
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