Perturbations and Quasinormal Modes of the Dirac Field in Effective Quantum Gravity

TL;DR

This paper studies the quasinormal modes of massless Dirac fields around quantum-corrected black holes in Effective Quantum Gravity, using numerical and analytical methods to distinguish different models and analyze their spectra.

Contribution

It provides the first analysis of Dirac field quasinormal modes in quantum-corrected black holes, comparing numerical and analytical results to differentiate models.

Findings

Consistent results between WKB and time-domain methods.

Distinct quasinormal spectra for different quantum-corrected black hole models.

Derived approximate analytical expressions for modes and grey-body factors.

Abstract

Recently, two models of quantum-corrected Schwarzschild-like black holes were developed within Effective Quantum Gravity, and the spectra of bosonic perturbations have been analyzed in several recent studies. In this work, we investigate the quasinormal modes of a massless Dirac field perturbations around these black holes. By employing the higher-order WKB method and time-domain integration, we achieved consistency between the two approaches within their common range of validity. This concordance enables us to distinguish the two quantum-corrected black hole models from each other and from their Schwarzschild limit through their quasinormal spectra. In addition, we find approximate analytic expressions for quasinormal modes and grey-body factors in the form of expansion beyond the eikonal limit.