The quasinormal modes of the rotating quantum corrected black holes

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 the two-dimensional eigenvalues problem, then the spectra are calculated by imposing two-dimensional pseudo-spectral method. Based on the resulting spectra, a parameter estimation pipeline for this RQCBH model with gravitational wave data is constructed by using \texttt{pyRing} in the ringdown phase. We find that, even when the RQCBH spectra exhibits a small deviation from the Kerr spectra, the strong correlation between the extra parameter coming from the quantum gravity theory and the intrinsic parameter of black hole may significantly affect the posterior distributions of the mass $M$ and the dimensionless spin $\bar{a}$.