Quasinormal Frequencies of Fields with Various Spin in the Quantum Oppenheimer-Snyder Model of Black Holes

TL;DR

This paper computes quasinormal frequencies for various fields in a quantum-corrected black hole model, revealing minor changes in oscillation frequencies but significant reductions in damping rates, and confirms the null geodesic correspondence in the eikonal limit.

Contribution

It introduces calculations of quasinormal modes in a quantum Oppenheimer-Snyder black hole model using both numerical and analytical methods, extending understanding of quantum effects on black hole perturbations.

Findings

Real frequencies are minimally affected by quantum corrections.

Damping rates decrease significantly with quantum parameter.

Analytic formula for quasinormal frequencies in the eikonal limit is derived.

Abstract

A recent development involves an intriguing model of a quantum-corrected black hole, established through the application of the quantum Oppenheimer-Snyder model within loop quantum cosmology [Lewandowski et al., Phys. Rev. Lett. 130 (2023) 10, 101501]. Employing both time-domain integration and the WKB approach, we compute the quasinormal frequencies for scalar, electromagnetic, and neutrino perturbations in these quantum-corrected black holes. Our analysis reveals that while the real oscillation frequencies undergo only minor adjustments due to the quantum parameter, the damping rate experiences a significant decrease as a result of its influence. We also deduce the analytic formula for quasinormal frequencies in the eikonal limit and show that the correspondence between the null geodesics and eikoanl quasinormal modes holds in this case.