Hawking radiation as tunneling from squashed Kaluza-Klein black hole

TL;DR

This paper extends the tunneling method for deriving Hawking radiation to a five-dimensional squashed Kaluza-Klein black hole, successfully calculating its temperature and back reaction effects.

Contribution

It adapts the tunneling approach using a two-dimensional effective metric to analyze Hawking radiation in a complex higher-dimensional black hole.

Findings

Derived Hawking temperature for the squashed Kaluza-Klein black hole

Included back reaction effects in the tunneling framework

Extended the method to a new class of higher-dimensional black holes

Abstract

We discuss Hawking radiation from a five-dimensional squashed Kaluza-Klein black hole on the basis of the tunneling mechanism. A simple manner, which was recently suggested by Umetsu, is possible to extend the original derivation by Parikh and Wilczek to various black holes. That is, we use the two-dimensional effective metric, which is obtained by the dimensional reduction near the horizon, as the background metric. By using same manner, we derive both the desired result of the Hawking temperature and the effect of the back reaction associated with the radiation in the squashed Kaluza-Klein black hole background.