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Due to the nature of gravity, non-linear effects are left imprinted in the quasi-normal modes generated in the ringdown phase of the merger of two black holes. We offer an analytical treatment of the quasi-normal modes at second-order in…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Davide Perrone , Thomas Barreira , Alex Kehagias , Antonio Riotto

This paper aims to explore the quasinormal modes (QNMs) and effective potential profiles of massless and rotating BTZ black holes within the frameworks of $f(\mathcal{R})$ and Ricci-Inverse ($\mathcal{RI}$) modified gravity theories, which,…

General Relativity and Quantum Cosmology · Physics 2025-04-11 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı , Abdelmalek Bouzenadad

This study presents a systematic investigation of quasinormal modes (QNMs) for probe fields-massless/massive scalar and Dirac fields-around a charged loop quantum gravity black hole (LQG-BH) characterized by the quantum parameter $b_0$ and…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Li-Gang Zhu , Guoyang Fu , Shulan Li , Dan Zhang , Jian-Pin Wu

The Newman-Penrose formalism is used to deal with the quasinormal modes(QNM's) of Rarita-Schwinger perturbations outside a Reissner-Nordstr\"{o}m black hole. We obtain four kinds of possible expressions of effective potentials, which are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Fu-Wen Shu , You-Gen Shen

We study the main properties of general linear perturbations of rotating black holes in asymptotically flat higher-dimensional spacetimes. In particular, we determine the quasinormal mode (QNM) spectrum of singly spinning and equal angular…

High Energy Physics - Theory · Physics 2015-06-18 Oscar J. C. Dias , Gavin S. Hartnett , Jorge E. Santos

In recent work, we examined how different modes in the ringdown phase of a binary coalescence are excited as a function of the final plunge geometry. At least in the large mass ratio limit, we found a clean mapping between angles describing…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Halston Lim , Gaurav Khanna , Scott A. Hughes

In this paper, we investigate quasinormal modes (QNMs) and greybody factors within the framework of Symmergent gravity, an emergent gravity model with an $R + R^2$ curvature sector. Building on our previous work on static…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Dhruba Jyoti Gogoi , Beyhan Puliçe , Ali Övgün

We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization…

High Energy Physics - Theory · Physics 2020-06-12 Gleb Aminov , Alba Grassi , Yasuyuki Hatsuda

While Hod's conjecture is demonstrably restrictive, the link he observed between black hole (BH) area quantisation and the large overtone ($n$) limit of quasinormal frequencies (QNFs) motivated intense scrutiny of the regime, from which an…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Chun-Hung Chen , Hing-Tong Cho , Anna Chrysostomou , Alan S. Cornell

In this paper, we evaluated the quasinormal modes of electromagnetic perturbation in a Schwarzschild black hole surrounded by the static spherically symmetric quintessence by using the third-order WKB approximation when the quintessential…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yu Zhang , Yuanxing Gui , Fei Yu , Fenglin Li

In the context of a gravity's rainbow, the asymptotic quasinormal modes of the scalar perturbation in the quantum modified Schwarzschild black holes are investigated. By using the monodromy method, we calculated and obtained the asymptotic…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Cheng-Zhou Liu , Jian-Yang Zhu

We elucidate that a distinctive resonant excitation between quasinormal modes (QNMs) of black holes emerges as a universal phenomenon at an avoided crossing near the exceptional point through high-precision numerical analysis and theory of…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Hayato Motohashi

In this study, we investigate the quasinormal modes, pseudospectrum and time evolution of a massive vector field around a quantum corrected black hole in de-Sitter spacetime. We start by parameterization and using orthonormal tetrads to get…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Shu Luo

The ringdown signal following a black hole (BH) merger can be modeled as a superposition of BH quasinormal modes (QNMs), offering a clean setup for testing gravitational theories. In particular, detecting multiple QNMs enables consistency…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Soichiro Morisaki , Hayato Motohashi , Motoki Suzuki , Daiki Watarai

Black hole quasinormal modes (QNMs) can exhibit resonant excitations associated with avoided crossings in their complex frequency spectrum. Such resonance phenomena can serve as novel signatures for probing new physics, where additional…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Takuya Takahashi , Hayato Motohashi , Kazufumi Takahashi

String theory is a promising candidate for a fundamental quantum theory of all interactions including Einstein gravity. Some solutions in string theory can be interpreted as black holes. Using the semi-analytic method and WKB method,the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Xin-zhou Li , Jian-gang Hao , Dao-jun Liu

Analogue models of black holes typically have collective excitations with a dispersion relation that breaks the effective Lorentz symmetry at high energy. We investigate the consequences of such Lorentz violations on the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Sam Patrick , Leonardo Solidoro

Proca and Maxwell fields in $d$-dimensional Schwarzschild black holes with anti-de Sitter (AdS) asymptotics are investigated through their linear perturbations and associated quasinormal modes (QNMs) with Dirichlet boundary conditions at…

General Relativity and Quantum Cosmology · Physics 2026-05-20 David C. Lopes , Tiago V. Fernandes , José P. S. Lemos

We investigate the pseudospectrum of the Kerr black hole, which indicates the instability of the spectrum of quasinormal modes (QNMs) of the Kerr black hole. Methodologically, we use the hyperboloidal framework to cast the QNM problem into…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Rong-Gen Cai , Li-Ming Cao , Jia-Ning Chen , Zong-Kuan Guo , Liang-Bi Wu , Yu-Sen Zhou

Black hole (BH) spectroscopy has emerged as a powerful approach to extract spacetime information from gravitational wave (GW) observed signals. Yet, quasinormal mode (QNM) spectral instability under high wave-number perturbations has been…

General Relativity and Quantum Cosmology · Physics 2022-06-08 José Luis Jaramillo , Rodrigo Panosso Macedo , Lamis Al Sheikh