Hawking Radiation of Spin-1 Particles From Three Dimensional Rotating Hairy Black Hole

TL;DR

This paper investigates the Hawking radiation of spin-1 vector particles from a three-dimensional rotating black hole with scalar hair, using Hamilton-Jacobi methods to derive the tunneling spectrum and recover the Hawking temperature.

Contribution

It introduces a novel analysis of vector particle emission from a 3D rotating hairy black hole employing Hamilton-Jacobi and Proca equations.

Findings

Derived the tunneling spectrum of vector particles.

Recovered the standard Hawking temperature for the black hole.

Validated the Hamilton-Jacobi approach for spin-1 particle emission.

Abstract

In the present article, we study the Hawking radiation (HR) of spin-1 particles -- so-called vector particles -- from a three dimensional (3D) rotating black hole with scalar hair (RBHWSH) using Hamilton-Jacobi (HJ) ansatz. Putting the Proca equation amalgamated with the WKB approximation in process, the tunneling spectrum of vector particles is obtained. We recover the standard Hawking temperature corresponding to the emission of these particles from RBHWSH.