Hawking temperature of Kerr-Newman-AdS black hole from tunneling

TL;DR

This paper derives the Hawking temperature of Kerr-Newman-AdS black holes using a tunneling method, providing an explicit formula by choosing a co-rotating reference frame to simplify the analysis.

Contribution

It introduces a co-rotating reference frame in the tunneling method to accurately compute the Hawking temperature of rotating black holes.

Findings

Derived the Hawking temperature for Kerr-Newman-AdS black holes.

Provided an explicit formula for the temperature using tunneling approach.

Validated the method for rotating black holes with charge and cosmological constant.

Abstract

Using the null-geodesic tunneling method of Parikh and Wilczek, we derive the Hawking temperature of a general four-dimensional rotating black hole. In order to eliminate the motion of $\phi$ degree of freedom of a tunneling particle, we have chosen a reference system that is co-rotating with the black hole horizon. Then we give the explicit result for the Hawking temperature of the Kerr-Newman-AdS black hole from the tunneling approach.