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The quasi normal modes (QNMs) associated with gravitational-wave signals from binary black hole (BBH) mergers can provide deep insight into the remnant's properties. Once design sensitivity is achieved, present ground-based gravitational…

General Relativity and Quantum Cosmology · Physics 2018-08-08 C. F. Da Silva Costa , S. Tiwari , S. Klimenko , F. Salemi

Within linearized perturbation theory, black holes decay to their final stationary state through the well-known spectrum of quasinormal modes. Here we numerically study whether nonlinearities change this picture. For that purpose we study…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Enrique Pazos , David Brizuela , Jose M. Martin-Garcia , Manuel Tiglio

We study the quasi-normal modes (QNMs) of static, spherically symmetric black holes in $f(R)$ theories. We show how these modes in theories with non-trivial $f(R)$ are fundamentally different from those in General Relativity. In the special…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Sayak Datta , Sukanta Bose

In the last decade, the ringdown community has made large strides in understanding the aftermath of binary black hole mergers through the study of numerical simulations. In this note, we introduce two flavors of fitting algorithms, that…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Lorena Magaña Zertuche , Leda Gao , Eliot Finch , Gregory B. Cook

A conjectured connection to quantum gravity has led to a renewed interest in highly damped black hole quasinormal modes (QNMs). In this paper we present simple derivations (based on the WKB approximation) of conditions that determine the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 N Andersson , C. J. Howls

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. Besides the low-lying modes, we particularly focus on high…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Guan-Ru Li , Jodin C. Morey , Wei-Liang Qian , Ramin G. Daghigh , Michael D. Green , Kai Lin , Rui-Hong Yue

We investigate quasinormal modes (QNMs) of scalar, electromagnetic, and axial gravitational perturbations in slowly rotating Kalb-Ramond (KR) black holes, where an antisymmetric tensor field induces spontaneous Lorentz symmetry breaking.…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Weike Deng , Wentao Liu , Kui Xiao , Jiliang Jing

In this paper, we exhaustively investigate the quasinormal modes (QNMs) of a probe scalar field over a d-dimensional regular black hole (BH) characterized by the parameter A. The quasinormal frequencies (QNFs) exhibit different behaviors…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Zhongzhinan Dong , Dan Zhang , Guoyang Fu , Jian-Pin Wu

We report evidence for nonlinear gravitational effects in the ringdown signal of gravitational wave event GW250114. Using Bayesian inference, we find that the inclusion of a nonlinear quasi-normal mode (220Q), a second-order harmonic…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yuxin Yang , Changfu Shi , Yi-Ming Hu

We use the numerical continued fraction method to investigate quasinormal mode spectra of extremal and non-extremal Reissner-Nordstr\"om black holes in the low and intermediate damping regions. In the extremal case, we develop techniques…

General Relativity and Quantum Cosmology · Physics 2024-05-02 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey

We revisit the scenario of small-mass-ratio (q) black-hole binaries; performing new, more accurate, simulations of mass ratios 10:1 and 100:1 for initially nonspinning black holes. We propose fitting functions for the trajectories of the…

General Relativity and Quantum Cosmology · Physics 2011-12-13 Hiroyuki Nakano , Yosef Zlochower , Carlos O. Lousto , Manuela Campanelli

We present a package for Mathematica that facilitates the numerical computation of the quasinormal mode (QNM) spectrum of a black hole/black brane. Requiring as input only the QNM equation(s), the application of a single Mathematica…

General Relativity and Quantum Cosmology · Physics 2017-11-20 Aron Jansen

This paper systematically investigates the quasinormal modes (QNMs) and tidal Love numbers of covariant quantum-modified black holes (BHs) within two cosmological constant-dependent metric frameworks. By deriving axial/polar perturbation…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Yunlong Liu , Xiangdong Zhang

We study analytically quasinormal modes in a wide variety of black hole spacetimes, including $d$--dimensional asymptotically flat spacetimes and non-asymptotically flat spacetimes (particular attention has been paid to the four dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Fu-Wen Shu , You-Gen Shen

Full-wave numerical methods based on quasinormal modes (QNMs) offer valuable physical insights and computational efficiency for analyzing electromagnetic resonators. However, despite their advantages, many researchers in electromagnetism…

Optics · Physics 2026-05-01 Tong Wu , Philippe Lalanne

We compute the Quasi-Normal Mode (QNM) frequencies for scalar perturbations for modified Schwarzschild black holes in Loop Quantum Gravity. We study the singularity-free polymerized metric characterised by two parameters encoding loop…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Etera R. Livine , Clara Montagnon , Naritaka Oshita , Hugo Roussille

In this paper, we calculated the quasinormal modes (QNMs) of a charged non-commutative black hole in scalar, electromagnetic and gravitational fields by three methods. We gave the influence of non-commutative parameter $\theta$ and charge…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Zening Yan , Xiaoji Zhang , Maoyuan Wan , Chen Wu

We study black-hole binaries in the intermediate-mass-ratio regime 0.01 < q < 0.1 with a new technique that makes use of nonlinear numerical trajectories and efficient perturbative evolutions to compute waveforms at large radii for the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower , Manuela Campanelli

Recent studies based on the notion of black hole pseudospectrum indicated substantial instability of the fundamental and high-overtone quasinormal modes. Besides its theoretical novelty, the details about the migration of the quasinormal…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Shui-Fa Shen , Wei-Liang Qian , Kai Lin , Cheng-Gang Shao , Yu Pan

We study the asymptotic behavior of parametrized black hole quasinormal modes (QNMs) in the high-overtone limit. To gain insights into their analytical structure, we apply the exact WKB method, which was recently developed by the same…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Taiga Miyachi , Ryo Namba , Hidetoshi Omiya , Naritaka Oshita