Tunneling of Hawking radiation for BTZ black hole revisited

TL;DR

This paper revisits the tunneling process of Hawking radiation for BTZ black holes, analyzing both charged and uncharged cases using WKB approximation, and explores related thermodynamic properties such as temperature, surface gravity, and entropy.

Contribution

It provides a detailed re-evaluation of Hawking radiation tunneling for BTZ black holes, including charged cases, with thermodynamic analysis using standard methods.

Findings

Transmission probabilities for tunneling are calculated for both uncharged and charged BTZ black holes.

Hawking temperature, surface gravity, and entropy are estimated for the black holes.

Results enhance understanding of quantum tunneling and thermodynamics in lower-dimensional black holes.

Abstract

We re-examine Hawking radiation for a nonrotating (2+1)-dimensional BTZ black hole and evaluate the transmission probability of tunneling through the barrier of the event horizon employing the standard method of WKB approximation. Our results are presented for both uncharged and charged cases. We also explore the associated thermodynamics in terms of Hawking temperature and provide estimates of black hole parameters like the surface gravity and entropy.