Quantum radiation of Kerr black hole in de Sitter background

TL;DR

This paper studies quantum radiation from Kerr-de Sitter black holes by analyzing vector boson tunneling, confirming the Hawking temperature through two different methods.

Contribution

It introduces a method to compute Hawking radiation for Kerr-de Sitter black holes using Hamilton-Jacobi and Proca equations, validating the temperature calculation.

Findings

Both methods yield the same Hawking temperature.

The surface gravity is accurately calculated.

The tunneling process for vector bosons is characterized.

Abstract

In this paper, we investigate the tunneling of vector boson particles across the event horizon of Kerr-de Sitter black hole by using Hamilton-Jacobi ansatz to Proca equation and WKB approximation. The surface gravity of KdS black hole has been recovered by using direct calculation and Proca equation. These two different methods give the same Hawking temperature at the event horizon.