Radiation via tunnelling in the charged BTZ black hole

Abstract

It is often convenient to view Hawking (black-hole) radiation as a process of quantum tunnelling. 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.