Tunneling Mechanism in Kerr-Newman Black Hole and Dimensional Reduction near the Horizon

TL;DR

This paper demonstrates that using dimensional reduction near the horizon simplifies the derivation of Hawking radiation via tunneling mechanisms for Kerr-Newman black holes, applicable to various tunneling approaches.

Contribution

It introduces a simplified method for deriving Hawking radiation from rotating black holes using dimensional reduction near the horizon.

Findings

Dimensional reduction simplifies tunneling calculations.

Applicable to multiple tunneling derivation methods.

Enhances understanding of black hole radiation mechanisms.

Abstract

It is shown that the derivation of the Hawking radiation from a rotating black hole on the basis of the tunneling mechanism is greatly simplified by using the technique of the dimensional reduction near the horizon. This technique is illustrated for the original derivation by Parikh and Wilczek, but it is readily applied to a variant of the method such as suggested by Banerjee and Majhi.