Can conformal Transformations change the fate of 2D black holes?

Abstract

By using a classical Liouville-type model of two dimensional dilaton gravity we show that the one-loop theory implies that the fate of a black hole depends on the conformal frame. There is one frame for which the evaporation process never stops and another one leading to a complete disappearance of the black hole. This can be seen as a consequence of the fact that thermodynamic variables are not conformally invariant. In the second case the evaporation always produces the same static and regular end-point geometry, irrespective of the initial state.

Some typos corrected. A few comments and two references added. Accepted for publication in PLB. Latex, 11 pages, no figures