Charged Dilatonic Black Hole and Hawking Radiation in Two Dimensions

TL;DR

This paper explores two-dimensional dilatonic black holes with charge, analyzing classical solutions, extremal cases with zero temperature, and quantum effects like chiral anomalies, revealing how these factors influence black hole structure and singularities.

Contribution

It provides new solutions for charged black holes in 2D dilatonic gravity, including extremal cases and quantum corrections, expanding understanding of black hole thermodynamics and singularity cloaking.

Findings

Extremal solutions have zero temperature and non-singular spacetime.

Quantum chiral anomalies influence the structure and cloaking of singularities.

Charged matter collapse affects horizon structure and quantum corrections.

Abstract

We consider Callan, Giddings, Harvey and Strominger's (CGHS) two dimensional dilatonic gravity with electromagnetic interactions. This model can be also solved classically. Among the solutions describing static black holes, there exist extremal solutions which have zero temperatures. In the extremal solutions, the space-time metric is not singular. We also obtain the solutions describing charged matter (chiral fermions) collapsing into black holes. Through the collapsing, not only future horizon but past horizon is also shifted. The quantum corrections including chiral anomaly are also discussed. In a way similar to CGHS model, the curvature singularity also appeared, except extremal case, when the matter collapsing. The screening effects due to the chiral anomaly have a tendency to cloak the singularity