Radiation via Tunneling in the Charged BTZ Black Hole

TL;DR

This paper applies the Kraus-Wilczek tunneling formalism to a charged BTZ black hole, revealing a non-thermal radiation spectrum and analyzing near-extremal thermodynamics, thus extending tunneling methods to charged lower-dimensional black holes.

Contribution

It extends the KW tunneling approach to charged BTZ black holes, demonstrating non-thermal spectra and exploring near-extremal thermodynamics.

Findings

Reproduces Hawking radiation at zeroth order in frequency.

Demonstrates a non-thermal emission spectrum.

Analyzes thermodynamic behavior near extremality.

Abstract

It is often convenient to view Hawking (black hole) radiation as a process of quantum tunneling. Within this framework, Kraus and Wilczek (KW) have initiated an analytical treatment of black hole emission. Notably, their methodology incorporates the effects of a dynamical black hole geometry. In the current paper, the KW formalism is applied to the case of a charged BTZ black hole. In the context of this interesting model, we are able to demonstrate a non-thermal spectrum, with the usual Hawking result being reproduced at zeroth order in frequency. Considerable attention is then given to the examination of near-extremal thermodynamics.