Quantum tunneling from rotating black holes with scalar hair in three dimensions

TL;DR

This paper investigates Hawking radiation from a rotating black hole with scalar hair in three dimensions, using quantum tunneling and WKB approximation to derive the Hawking temperature.

Contribution

It introduces a novel analysis of Hawking radiation from a 3D rotating scalar hair black hole using tunneling methods, extending previous studies to include scalar hair effects.

Findings

Derived the tunneling rates for scalar and fermionic particles.

Calculated the Hawking temperature for the 3D rotating scalar hair black hole.

Validated the quantum tunneling approach in this specific black hole context.

Abstract

We study the Hawking radiation (HR) of scalar and Dirac particles (fermions) emitted from a rotating scalar hair black hole (RSHBH) within the context of three dimensional ($3D$) Einstein gravity using non-minimally coupled scalar field theory. Amalgamating the quantum tunneling approach with the Wentzel--Kramers--Brillouin (WKB) approximation, we obtain the tunneling rates of the outgoing particles across the event horizon. Inserting the resultant tunneling rates into the Boltzmann formula, we then obtain the Hawking temperature ($T_{H}$) of the $3D$ RSHBH.