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

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.

LaTeX file and ps files for figures, new section is added, title is changed

References in corpus (14)

• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• (Anti-)Evaporation of Schwarzschild-de Sitter Black Holes
• Trace Anomaly of Dilaton Coupled Scalars in Two Dimensions
• Hawking Radiation for Non-minimally Coupled Matter from Generalized 2D Black Hole Models
• Proliferation of de Sitter Space
• Trace anomaly induced effective action for 2D and 4D dilaton coupled scalars
• Trace Anomaly and Non-Local Effective Action for 2D Conformally Invariant Scalar Interacting with Dilaton
• Quantum Correction to the Entropy of the (2+1)-Dimensional Black Hole
• Statistical entropy of charged two-dimensional black holes
• Conformal anomaly in 2d dilaton-scalar theory
• Infinite Lorentz boost along the M-theory circle and non-asymptotically flat solutions in supergravities
• Weyl Anomaly of 2D Dilaton-Scalar Gravity and Hermiticity of System Operator
• Quantum cosmology in the models of 2d and 4d dilatonic supergravity with WZ matter
• Trace Anomaly Induced Effective Action and Hawking Radiation for 2d Dilatonic Supergravity

Cited by in corpus (26)

• Dilaton Gravity in Two Dimensions
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Gauge and Gravitational Anomalies and Hawking Radiation of Rotating BTZ Black Holes
• Radiation via Tunneling in the Charged BTZ Black Hole
• Quantum gravity effects on Hořava-Lifshitz black hole
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Quantum Corrections to the Thermodynamics of Charged 2-D Black Holes
• One-Loop Corrected Thermodynamics of the Extremal and Non-Extremal Spinning BTZ Black Hole
• Quantum Global Structure of de Sitter Space
• Entropy of a charged black hole in two dimensions without cutoff
• Effective action and Hawking radiation for dilaton coupled scalars in two dimensions
• Anomaly induced effective actions in even dimensions and reliability of s-wave approximation
• Thermodynamics of Schwarzschild-(Anti-)de Sitter Black Holes with account of quantum corrections
• Dilaton gravity approach to three dimensional Lifshitz black hole
• Quantum toy model for black-hole back-reaction
• Integrable models and degenerate horizons in two-dimensional gravity
• Two-dimensional effective action for matter fields coupled to the dilaton
• (Non) singular Kantowski-Sachs Universe from quantum spherically reduced matter
• More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field
• Quantum Corrections for ABGB Black Hole
• Critical Behaviors of 3D Black Holes with a Scalar Hair
• Conformal anomaly for 2d and 4d dilaton coupled spinors
• Fermionic greybody factors of two and five-dimensional dilatonic black holes
• Evaporation of a two-dimensional charged black hole
• Nontrivial self-consistent backreaction of quantum fields in 2D dilaton gravity
• Horizon Dynamics of a BTZ Black Hole