Massive vector particles tunneling from Kerr and Kerr-Newman black holes

TL;DR

This paper studies the quantum tunneling of massive vector particles from Kerr and Kerr-Newman black holes, deriving the tunneling rate and confirming the Hawking temperature through a Hamilton-Jacobi and WKB approach.

Contribution

It introduces a method to analyze the tunneling of massive spin-1 particles from rotating black holes using Hamilton-Jacobi and WKB approximation, extending previous scalar particle analyses.

Findings

Derived the tunneling rate of massive vector particles from Kerr and Kerr-Newman black holes.

Confirmed the Hawking temperature for both black hole types using the tunneling method.

Validated the quantum tunneling approach for massive bosons in curved spacetime.

Abstract

In this paper, we investigate the Hawking radiation of massive spin-1 particles from 4-dimensional Kerr and Kerr-Newman black holes. By applying the Hamilton-Jacobi ansatz and the WKB approximation to the field equations of the massive bosons in Kerr and Kerr-Newman space-time, the quantum tunneling method is successfully implemented. As a result, we obtain the tunneling rate of the emitted vector particles and recover the standard Hawking temperature of both the two black holes.