Dirac particles tunneling from BTZ black hole

TL;DR

This paper calculates the Hawking radiation spectrum of Dirac fermions tunneling from the BTZ black hole's outer horizon using WKB approximation, confirming previous results and providing insights into fermionic radiation in (2+1)D black hole spacetimes.

Contribution

It introduces a tunneling formalism for Dirac particles in BTZ spacetime, deriving the Hawking temperature and radiation spectrum for fermions, consistent with prior findings.

Findings

Hawking temperature for BTZ black hole derived from fermion tunneling.

Fermion radiation spectrum matches previous literature.

Validation of tunneling formalism for Dirac particles in (2+1)D black holes.

Abstract

We calculated the Dirac Particles' Hawking radiation from the outer horizon of BTZ black hole via tunneling formalism. Applying WKB approximation to the Dirac equation in (2+1) dimensional BTZ spacetime background, we obtain the radiation spectrum for fermions and Hawking temperature of BTZ black hole. The results obtained by taking the fermion tunneling into account is consistent with the previous literatures.