Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-03-30
Mod. Phys. Lett. A9 (1994) 3137-3148
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, BRX-TH-345
Scientific paper
10.1142/S0217732394002963
The picture of S-wave scatering from a 4D extremal dilatonic black hole is examined. Classically, a small matter shock wave will form a non-extremal black hole. In the "throat region" the r-t geometry is exactly that of a collapsing 2D black hole. The 4D Hawking radiation (in this classical background) gives the 2D Hawking radiation exactly in the throat region. Inclusion of the back-reaction changes this picture: the 4D solution can then be matched to the 2D one only if the Hawking radiation is very small and only at the beginning of the radiation. We give that 4D solution. When the total radiating energy approaches the energy carried by the shock wave, the 4D picture breaks down. This happens even before an apparent horizon is formed, which suggests that the 4D semi-classical solution is quite different from the 2D one.
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