Hawking Radiation from Kerr-Newman Black Hole and Tunneling Mechanism

TL;DR

This paper derives Hawking radiation for Kerr-Newman black holes using a tunneling mechanism, simplifying the complex geometry to an effective 2D model near the horizon to facilitate analysis.

Contribution

It introduces a method to apply the tunneling mechanism to nonspherical Kerr-Newman black holes by dimensional reduction to an effective 2D metric.

Findings

Hawking radiation can be derived for Kerr-Newman black holes using tunneling.

Dimensional reduction simplifies the analysis of nonspherical black holes.

The method extends tunneling mechanism applicability to rotating and charged black holes.

Abstract

We present the derivation of Hawking radiation by using the tunneling mechanism in a rotating and charged black hole background. We show that the 4-dimensional Kerr-Newman metric, which has a spherically nonsymmetric geometry, becomes an effectively 2-dimensional spherically symmetric metric by using the technique of the dimensional reduction near the horizon. We can thus readily apply the tunneling mechanism to the nonspherical Kerr and Kerr-Newman metric.