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Quasinormal Modes of Self-Dual Loop Quantum Gravity Corrected Kerr Black Holes

2026/07/16 by Yu Wang, Meilin Liu, Haiguang Xu
#gr-qc

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Abstract

We investigate scalar quasinormal modes and ringdown signals of a rotating loop quantum gravity black hole constructed via the revised Newman--Janis algorithm. The spacetime incorporates two quantum parameters, the polymeric parameter P and the minimal area parameter a0, and reduces to the Kerr spacetime in the classical limit. Using the sixth-order WKB approximation and time-domain integration, we analyze the effective potential, quasinormal mode spectrum, and ringdown dynamics. The polymeric parameter P systematically reduces the oscillation frequency Re(ω), while the spin parameter a enhances it. The time-domain signals exhibit clear dependence on the multipole number ℓ and overtone index n. Our results provide a theoretical framework for understanding the effects of loop quantum gravity corrections on black hole perturbations and gravitational-wave ringdown signals.

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