Y. Kazama et Y. Satoh, EXTRACTION OF BLACK-HOLE GEOMETRY IN EXACTLY QUANTIZED 2-DIMENSIONAL DILATON GRAVITY, Physical review. D. Particles and fields, 50(4), 1994, pp. 2368-2372
Based on our previous work, in which a model of two-dimensional dilato
n gravity of the type proposed by Callan, Giddings. Harvey, and Stromi
nger was rigorously quantized, we explicitly demonstrate how one can e
xtract space-time geometry in an exactly solvable theory of quantum gr
avity. In particular, we have been able to produce a prototypical conf
iguration in which a (smeared) matter shock wave generates a black hol
e without a naked singularity.