Hawking radiation of Dirac particles from black strings

TL;DR

This paper extends the semi-classical tunneling approach to study Hawking radiation of Dirac particles from cylindrically symmetric black holes, calculating tunneling probabilities and Hawking temperatures for both charged and uncharged particles.

Contribution

It introduces a method to analyze Hawking radiation in cylindrically symmetric black holes using Hamilton-Jacobi and WKB approximation, including charged particles.

Findings

Calculated tunneling probabilities for Dirac particles.

Derived Hawking temperatures for black strings.

Extended semi-classical approach to new black hole geometries.

Abstract

Hawking radiation has been studied as a phenomenon of quantum tunneling in different black holes. In this paper we extend this semi-classical approach to cylindrically symmetric black holes. Using the Hamilton-Jacobi method and WKB approximation we calculate the tunneling probabilities of incoming and outgoing Dirac particles from the event horizon and find the Hawking temperature of these black holes. We obtain results both for uncharged as well as charged particles.