Massless Dirac Perturbations in a Consistent Model of Loop Quantum Gravity Black Hole: Quasinormal Modes and Particle Emission Rates

TL;DR

This paper investigates how Loop Quantum Gravity influences massless Dirac perturbations around a specific black hole, revealing effects on quasinormal modes and particle emission rates through detailed analysis.

Contribution

It introduces a novel analysis of Dirac field perturbations in a Loop Quantum Gravity black hole background using the sixth order WKB method.

Findings

Loop Quantum Gravity parameters increase quasinormal mode frequencies.

LQG effects raise the potential barrier for perturbations.

Bound on Greybody Factor decreases with LQG parameters.

Abstract

We consider perturbations of the massless Dirac field in the background of a black hole solution found by Bodendorfer, Mele, and M\"{u}nch (BMM), using a polymerization technique that furnishes contributions inspired by Loop Quantum Gravity (LQG) Theory. Using the sixth order WKB method, we analyzed its quasinormal modes for several modes, multipole numbers and the two classes of BMM black holes. We also considered the potential that governs these perturbations to analyze the bound on the Greybody Factor (GF) due the emission rates of particles. As results, we found that the Loop Quantum Gravity parameters are responsible for raising the potential and the real and imaginary parts of the quasinormal frequencies and decrease the bound on the Greybody Factor for the two classes of black holes (with more prominent effects for the de-amplification case, which is compatible with previous analyses done for other fields).