Quantum Theory of 2D Dilaton Black Hole

Astronomy and Astrophysics – Astronomy

Scientific paper

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Quantum Theory, Two Dimensional Models, Black Holes (Astronomy), String Theory, Gravitation, Evaporation

Scientific paper

Callan, Giddings, Harvey and Strominger(CGHS) have investigated an interesting two-dimensional (2D) dilatonic gravity which shows the black hole evaporation in the semi-classical approximation. CGHS model includes the 2D black hole solution in critical string theory researched by Witten. The black holes, moreover, evaporate completely, in terms of Hawking radiation and its back reaction of the metric, without a singularity. It has been, however, pointed out that in the case of 2D dilatonic black hole the semi-classical equations give a new singularity hidden inside a black hole. Consequently, following the quantum effects, the full quantum version of 2D dilatonic gravity model is presented by means of the procedure in 2D quantum gravity by Distler and Kawai.

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