Quasinormal modes of a charged loop quantum black hole

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.

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