Quantum (in)stability of 2D charged dilaton black holes and 3D rotating black holes - art. no. 044003.

The quantum properties of charged black holes (BHs) in two-dimensional (2D) dilaton-Maxwell gravity (spontaneously compactified from heterotic string) with N dilaton coupled scalars are studied. We first investigate 2D BHs fo und by McGuigan, Nappi, and Yost. Kaluza-Klein reduction of 3D gravity with minimal scalars leads also to 2D dilaton-Maxwell gravity with dilaton coup led scalars and the rotating BH solution found by Banados, Teitelboim, and Zanelli, which can be also described by 2D charged dilatonic BHs. Evaluatin g the one-loop effective action for dilaton coupled scalars in large N (and the s-wave approximation for the Banados-Teitelboim-Zanelli case), we show that quantum-corrected BHs may evaporate or else anti-evaporate similarly to 4D Nariai BHs as is observed by Bousso and Hawking. Higher modes may cau se the disintegration of BHs in accordance with recent observation by Bouss o. [S0556-2821(99)03302-0].