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Quantum (in)stability of 2D charged dilaton black holes and 3D rotating black holes

Shin'ichi Nojiri·Sergei D. Odintsov
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Abstract

The quantum properties of charged black holes (BHs) in 2D dilaton-Maxwell gravity (spontaneously compactified from heterotic string) with $N$ dilaton coupled scalars are studied. We first investigate 2D BHs found by McGuigan, Nappi and Yost. Kaluza-Klein reduction of 3D gravity with minimal scalars leads also to 2D dilaton-Maxwell gravity with dilaton coupled scalars and the rotating BH solution found by Bañados, Teitelboim and Zanelli (BTZ) which can be also described by 2D charged dilatonic BH. Evaluating the one-loop effective action for dilaton coupled scalars in large $N$ (and s-wave approximation for BTZ case), we show that quantum-corrected BHs may evaporate or else anti-evaporate similarly to 4D Nariai BH as is observed by Bousso and Hawking. Higher modes may cause the disintegration of BH in accordance with recent observation by Bousso.

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Shin'ichi Nojiri, Sergei D. Odintsov. 1998-10-17. Quantum (in)stability of 2D charged dilaton black holes and 3D rotating black holes. https://doi.org/10.1103/physrevd.59.044003

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