The quasinormal modes of the rotating quantum corrected black holes

TL;DR

This paper investigates the quasinormal modes of rotating quantum corrected black holes using a hyperboloidal framework and spectral methods, and explores their potential for gravitational wave-based quantum gravity tests.

Contribution

It introduces a novel spectral approach to compute QNMs of rotating quantum black holes and develops a parameter estimation pipeline incorporating quantum corrections with gravitational wave data.

Findings

Informative priors improve quantum correction parameter constraints.

Inferred spin distributions differ from Kerr black holes.

Methodological framework for testing quantum gravity with gravitational waves.

Abstract

The quasinormal modes (QNMs) of a rotating quantum corrected black hole (RQCBH) are studied by employing the hyperboloidal framework for the scalar perturbation. This framework is used to cast the QNMs spectra problem into a two-dimensional eigenvalue problem, then the spectra are calculated by imposing the two-dimensional pseudo-spectral method. Based on the resulting scalar spectra, a parameter estimation pipeline for this RQCBH model with gravitational wave data is constructed by using \texttt{pyRing} in the ringdown phase. We use informative priors in our inference that incorporates the mass and spin distributions predicted by the inspiral-merger phase as the prior distributions for the ringdown analysis. Notably, since the waveform model beyond Kerr black hole in $\texttt{pyRing}$ is designed for the tensor perturbation, the inferred posterior distributions should be interpreted as a methodological investigation rather than as physical constraints from observations. The methodological results show that the use of informative priors consistently yields a tighter posterior on the quantum correction parameter compared to analyses without such priors, and the spin inferred from the RQCBH model begins to be significant and differs from that of the Kerr model. This opens a promising avenue for testing quantum-gravity-induced deviations using gravitational-wave spectroscopy.