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20202026
most citedCalculating quasinormal modes of Schwarzschild anti-de Sitter black holes using the continued fraction method

27 citations · 27 across the 11 of their papers we have counts for

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gr-qc2026

Sensitivity of black hole spectral instability to ultraviolet perturbations

Ramin G. Daghigh, Michael D. Green, Guan-Ru Li +3

Black hole quasinormal modes are known to exhibit spectral instability under ultraviolet perturbations of the effective potential. In the present work, we investigate the sensitivi…

gr-qc2026

On the mapping between bound states and black hole quasinormal modes via analytic continuation: a spectral instability perspective

Guan-Ru Li, Wei-Liang Qian, Xiao-Mei Kuang +5

In this work, we investigate the relation between bound states and quasinormal modes within black hole perturbation theory in the context of spectral instability. Our analysis indi…

gr-qc2026

Continued fraction method for high overtone quasinormal modes in effective potentials with discontinuity

Guan-Ru Li, Jodin C. Morey, Wei-Liang Qian +4

In this study, we extend Leaver's continued fraction method to evaluate black hole quasinormal modes (QNMs) in systems where the effective potential exhibits a discontinuity. Besid…

gr-qc2026

On the instability of the fundamental mode of the Regge-Wheeler effective potential

Shui-Fa Shen, Guan-Ru Li, Ramin G. Daghigh +5

It was recently pointed out that the fundamental mode of the Regge-Wheeler effective potential is unstable against an insignificant Gaussian metric perturbation, which, in turn, mi…

gr-qc2025

Spectral instability in modified Pöschl-Teller effective potential triggered by deterministic and random perturbations

Shui-Fa Shen, Guan-Ru Li, Ramin G. Daghigh +4

Owing to its substantial implications for black hole spectroscopy, spectral instability has attracted considerable attention in the literature. While the emergence of such instabil…

gr-qc2025

On Hyperboloidal Foliations in the Study of Black Hole Quasinormal Modes

Shui-Fa Shen, Guan-Ru Li, Xiao-Mei Kuang +5

In this work, we demonstrate that the hyperboloidal foliation technique, applied to the study of black hole quasinormal modes, where the spatial boundary is shifted from spacelike…