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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

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 analyze gravitational-wave data from the first LIGO detection of a binary black-hole merger (GW150914) in search of the ringdown of the remnant black hole. Using observations beginning at the peak of the signal, we find evidence of the…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Maximiliano Isi , Matthew Giesler , Will M. Farr , Mark A. Scheel , Saul A. Teukolsky

We present a new framework for characterizing quasinormal modes (QNMs) or resonant states for the wave equation on asymptotically flat spacetimes, applied to the setting of extremal Reissner-Nordstr\"om black holes. We show that QNMs can be…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Dejan Gajic , Claude Warnick

The ringdown phase of gravitational waves emitted by a perturbed black hole is described by a superposition of exponentially decaying sinusoidal modes, called quasinormal modes (QNMs), whose frequencies depend only on the property of the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Che-Yu Chen , Petr Kotlařík

We present a conceptually simple method for finding quasinormal modes (QNMs) in a Schwarzschild black hole. QNMs are defined by their boundary conditions at infinity and at the horizon. These include the intuitively satisfying assertion…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Jeff Steinhauer

The parametrized black hole quasinormal ringdown formalism is useful to compute quasinormal mode (QNM) frequencies if a master equation for the gravitational perturbation around a black hole has a small deviation from the Regge-Wheeler or…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Masashi Kimura

The black hole uniqueness and the no-hair theorems imply that the quasinormal spectrum of any astrophysical black hole is determined solely by its mass and spin. The countably infinite number of quasinormal modes of a Kerr black hole are…

General Relativity and Quantum Cosmology · Physics 2020-08-31 Xisco Jiménez Forteza , Swetha Bhagwat , Paolo Pani , Valeria Ferrari

Quasinormal modes (QNMs) of black holes can exhibit avoided crossings (ACs), in which specific QNM frequencies approach each other while their amplitudes are enhanced and acquire nearly opposite phases, leading to characteristic…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Hayato Imafuku , Naritaka Oshita , Hiroki Takeda

We revisit an analytical approximation scheme for computing nonlinearity ratios involving quadratic quasinormal modes (QQNMs). We compute these ratios for the general case when the QQNM is not one of the linear QNMs, for the $(l,m)$ channel…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Jasveer Singh , Vardarajan Suneeta

In general relativity, when two black holes merge they produce a rotating (Kerr) black hole remnant. According to perturbation theory, the remnant emits "ringdown" radiation: a superposition of exponentials with characteristic complex…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Mark Ho-Yeuk Cheung , Emanuele Berti , Vishal Baibhav , Roberto Cotesta

Gravitational waves provide direct information about the nature of spacetime and the existence of black holes. The remnant of a binary black hole merger emits gravitational waves in the form of quasinormal modes, whose spectrum is known as…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Iara Ota

Using high-accuracy numerical relativity waveforms, we confirm the presence of numerous overtones of the $\ell=2$, $m=2$ quasinormal mode early in the ringdown of binary black hole mergers. We do this by demonstrating the stability of the…

The Quasinormal modes (QNMs) for gravitational and electromagnetic perturbations are calculated in a Scalar-Tensor-Vector (Modified Gravity) spacetime, which was initially proposed to obtain correct dynamics of galaxies and galaxy clusters…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Luciano Manfredi , Jonas Mureika , John Moffat

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 paper investigates the characteristics of quasinormal modes (QNMs) of static, spherically symmetric black holes under the combined influence of spontaneous Lorentz symmetry breaking (LSB) induced by the Kalb-Ramond (KR) field and…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Zongyuan Qin , Taiyang Zhang , Qian Feng , Zheng-Wen Long

There have been debates in the literature about the existence of the first overtone in the ringdown of GW150914. We develop a novel Bayesian framework to reanalyze the data of this event, by incorporating a new technique, the "rational…

General Relativity and Quantum Cosmology · Physics 2023-04-06 Sizheng Ma , Ling Sun , Yanbei Chen

The ringdown of a perturbed black hole contains fundamental information about space-time in the form of Quasi Normal Modes (QNM). Modifications to general relativity, or extended profiles of other fields surrounding the black hole, so…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Jamie Bamber , Oliver J. Tattersall , Katy Clough , Pedro G. Ferreira

In this paper, we investigate the quasinormal mode (QNM) spectra for scalar perturbation over a quantum-corrected black hole (BH). The fundamental modes of this quantum-corrected BH exhibit two key properties. Firstly, there is a…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Huajie Gong , Shulan Li , Dan Zhang , Guoyang Fu , Jian-Pin Wu

While black hole perturbation theory predicts a rich quasi-normal mode structure, technical challenges have limited the numerical study of excitations to the fundamental, lowest order modes caused by the coalescence of black holes. Here, we…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Lionel London , James Healy , Deirdre Shoemaker
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