Modified Hawking radiation of stationary and nonstationary Kerr-Newman-de Sitter black hole

TL;DR

This paper investigates the tunneling process of vector bosons from Kerr-Newman-de Sitter black holes, deriving modified Hawking temperatures that depend on black hole parameters for both stationary and non-stationary cases.

Contribution

It introduces a novel approach using the Rarita-Schwinger ansatz and deformed Hamilton-Jacobi method to analyze Hawking radiation modifications in KNdS black holes.

Findings

Modified Hawking temperatures depend on black hole parameters.

Tunneling probabilities are calculated using WKB and Hamilton-Jacobi methods.

The approach applies to both stationary and non-stationary black hole spacetimes.

Abstract

In this paper, the tunneling of vector boson particles across the event horizon of Kerr-Newman-de Sitter (KNdS) black hole is investigated using the WKB approximation and Hamilton-Jacobi ansatz to Proca equation. The tunneling probability and radiation spectrum at the event horizon of KNdS black hole is obtained. The modified Hawking radiation of stationary and non-stationary KNdS black hole are also investigated using the Rarita-Schwinger ansatz to the deformed Hamilton-Jacobi method and new tortoise coordinate transformation. It is observed that the modified Hawking temperatures near the event horizon for both stationary and nonstationary space times are dependent on the black hole parameters.