Fermions tunnelling from the charged dilatonic black holes

TL;DR

This paper extends fermion tunnelling analysis to charged dilatonic black holes, accurately deriving Hawking temperatures for various black hole types including charged and rotating solutions.

Contribution

It improves upon previous work by analyzing charged fermion tunnelling in a broader class of dilatonic black holes, including rotating cases.

Findings

Hawking temperatures are correctly derived for charged dilatonic black holes.

The method applies to both static and rotating black holes.

Results confirm the tunnelling approach's validity for complex black hole geometries.

Abstract

Kerner and Mann's recent work shows that, for an uncharged and non-rotating black hole, its Hawking temperature can be exactly derived by fermions tunnelling from its horizons. In this paper, our main work is to improve the analysis to deal with charged fermion tunnelling from the general dilatonic black holes, specifically including the charged, spherically symmetric dilatonic black hole, the rotating Einstein-Maxwell-Dilaton-Axion (EMDA) black hole and the rotating Kaluza-Klein (KK) black hole. As a result, the correct Hawking temperatures are well recovered by charged fermions tunnelling from these black holes.