The Dirac and Klein-Gordon equations and Greybody Radiation for the Regular Hayward Black Hole

TL;DR

This paper analyzes the behavior of Dirac and Klein-Gordon particles and computes greybody radiation for the Hayward black hole, providing insights into quantum fields and radiation characteristics in this regular black hole spacetime.

Contribution

It introduces a detailed analysis of quantum wave equations and greybody factors specifically for the Hayward black hole, extending understanding of quantum effects in regular black hole geometries.

Findings

Effective potentials for Dirac and Klein-Gordon fields are obtained and analyzed.

Greybody factors for bosons and fermions are computed and graphically presented.

The behavior of quantum fields in the Hayward black hole spacetime is characterized.

Abstract

We investigate the Dirac and Klein-Gordon equations, as well as greybody radiation, for the Hayward black hole (BH) spacetime. We first consider the Dirac equation using a null tetrad in the Newman- Penrose (NP) formalism. The equations are then separated into angular and radial parts. A pair of one-dimensional Schr\"odinger like wave equations with effective potentials is obtained from the radial part. In order to examine the behavior of potentials, they are plotted with respect to radial distances. Additionally, the Klein-Gordon equation is considered in the Hayward BH spacetime. At the end, we compute greybody factors for bosons and fermions and our results are shown graphically and discussed.