Quasinormal modes of a charged loop quantum black hole

TL;DR

This paper investigates the quasinormal modes of a charged loop quantum gravity black hole, revealing quantum effects like outbursts and quasi-resonances, and how charge influences these spectral features.

Contribution

It provides the first systematic spectral analysis of QNMs in charged LQG black holes, highlighting quantum gravity effects and charge interactions on mode behavior.

Findings

Quantum gravity induces outbursts in scalar QNMs, especially at l=0.

Charge Q suppresses quantum effects and outbursts.

Evidence of quasi-resonances suggests long-lived modes in charged LQG black holes.

Abstract

This study presents a systematic investigation of quasinormal modes (QNMs) for probe fields-massless/massive scalar and Dirac fields-around a charged loop quantum gravity black hole (LQG-BH) characterized by the quantum parameter $b_0$ and the charge parameter $Q$. Through spectral analysis of quasinormal frequencies (QNFs), we uncover a distinct overtone outburst driven by quantum gravity effects, prominently manifested in the scalar field spectrum with the multipole quantum number $l=0$. Both the outburst and its accompanying oscillatory patterns grow more pronounced with increasing overtone numbers. In contrast, massless scalar fields with $l>1$ and Dirac fields exhibit delayed outburst development, with non-monotonic behavior dominating the first two overtones. Notably, increasing the charge $Q$ universally suppresses quantum-gravity-induced features, including outbursts, non-monotonicity, and oscillations. Furthermore, we present evidence suggesting the presence of quasi-resonances in the massive scalar QNM spectrum, thereby illustrating the potential for the emergence of arbitrarily long-lived modes in this charged LQG spacetime. These findings establish a robust and universal interplay between quantum gravity effects and charge dynamics, providing new insights into the spectral properties of quantum-corrected BHs.