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Related papers: Non-linear Black Hole Ringdowns: an Analytical App…

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Quasinormal modes of perturbed black holes have recently gained much interest because of their tight relations with the gravitational wave signals emitted during the post-merger phase of a binary black hole coalescence. One of the…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Che-Yu Chen , Mariam Bouhmadi-López , Pisin Chen

Perturbed Kerr black holes emit gravitational radiation, which (for the practical purposes of gravitational-wave astronomy) consists of a superposition of damped sinusoids termed quasi-normal modes. The frequencies and time-constants of the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Ioannis Kamaretsos , Mark Hannam , Sascha Husa , B. S. Sathyaprakash

Black hole ringdowns in extensions of General Relativity (GR) generically exhibit two distinct signatures: (1) theory-dependent shifts in the standard black-hole quasinormal modes, and (2) additional modes arising from extra fundamental…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Francesco Crescimbeni , Xisco Jimenez-Forteza , Paolo Pani

Observations of gravitational waves (GWs) generated by binary black hole (BBH) mergers provide us with a powerful way to explore the strong and highly dynamical regime of gravity theories. The ringdown of BBH merger, consisting of a series…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Zexin Hu , Daniela D. Doneva , Stoytcho S. Yazadjiev , Lijing Shao

We present a highly accurate, fully analytical model for the late inspiral, merger, and ringdown of black-hole binaries with arbitrary mass ratios and spin vectors, including the contributions of harmonics beyond the fundamental mode. This…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Sean T. McWilliams

Amazingly, recent studies indicate that nonlinear effects are of great significance for modelling black hole ringdown. Transient electromagnetic events in the astrophysical environment are typically high energetic, potentially responsible…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Zhen-Tao He , Jia Du , Jiageng Jiao , Caiying Shao , Junxi Shi , Yu Tian , Hongbao Zhang

We continue our series of papers where we study the quasinormal modes, and their excitation, of black holes in the simplest beyond general relativity model in which first-principle calculations are tractable: a nonrotating black hole in an…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Hector O. Silva , Giovanni Tambalo , Kostas Glampedakis , Kent Yagi

Quadratic quasinormal modes encode fundamental properties of black hole spacetimes. They are also one of the key ingredients of nonlinearities of General Relativity in the ringdown stage of binary black hole coalescence. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Neev Khera , Sizheng Ma , Huan Yang

Quadratic quasi-normal modes, generated at second order in black hole perturbation theory, are a promising target for testing gravity in the nonlinear regime with next-generation gravitational wave detectors. While their frequencies have…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Bruno Bucciotti , Leonardo Juliano , Adrien Kuntz , Enrico Trincherini

Regular black holes, nonsingular solutions to gravitational collapse with quantum corrections, offer a compelling alternative to classical black holes with curvature singularities. In this work, we investigate how the presence of skewed…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Chen Lan , Ying-Lei Tian , Hao Yang , Zhen-Xiao Zhang , Yan-Gang Miao

A generic feature of nearly out-of-equilibrium dissipative systems is that they resonate through a set of quasinormal modes. Black holes - the absorbing objects par excellence - are no exception. When formed in a merger, black holes vibrate…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Elisa Maggio , Luca Buoninfante , Anupam Mazumdar , Paolo Pani

It is expected that all astrophysical black holes in equilibrium are well described by the Kerr solution. Moreover, any black hole far away from equilibrium, such as one initially formed in a compact binary merger or by the collapse of a…

General Relativity and Quantum Cosmology · Physics 2022-01-14 Pierre Mourier , Xisco Jiménez Forteza , Daniel Pook-Kolb , Badri Krishnan , Erik Schnetter

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

Linear perturbations of spherically symmetric spacetimes in general relativity are described by radial wave equations, with potentials that depend on the spin of the perturbing field. In previous work we studied the quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Ryan McManus , Emanuele Berti , Caio F. B. Macedo , Masashi Kimura , Andrea Maselli , Vitor Cardoso

We study the scattering of gravitational waves by a Schwarzschild black hole and its perturbed siblings to investigate influences of proposed spectral instability of quasinormal modes on the ringdown signal. Our results indicate that…

General Relativity and Quantum Cosmology · Physics 2023-02-09 Koutarou Kyutoku , Hayato Motohashi , Takahiro Tanaka

The post-merger signal in binary black hole merger is described by linear, black-hole perturbation theory. Historically, this has been modeled using the dominant positive-frequency (corotating) fundamental mode. Recently, there has been a…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Arnab Dhani

The deviations of non-linear perturbations of black holes from the linear case are important in the context of ringdown signals with large signal-to-noise ratio. To facilitate a comparison between the two we derive several results of linear…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Maitraya K Bhattacharyya , David Hilditch , K Rajesh Nayak , Hannes R. Rüter , Bernd Bruegmann

Quasi-normal modes (QNMs) of a black hole (BH) are the eigen modes describing the dissipative oscillation of various fields in that spacetime, which can be intrinsically produced by the linear perturbation theory. With the discovery of the…

General Relativity and Quantum Cosmology · Physics 2022-12-02 Yuqian Zhao , Bing Sun , Zhan-Feng Mai , Zhoujian Cao

While the linear behavior of gravity in braneworld models is well understood, much less is known about full non-linear gravitational effects. Even when they agree at the linear level, these could be expected to distinguish braneworlds from…

High Energy Physics - Theory · Physics 2017-06-27 Hyeyoun Chung , Lisa Randall , Maria J. Rodriguez , Oscar Varela

The waveforms from binary black hole mergers include inspiral, merger, and ringdown parts. Usually, the inspiral waveform can be obtained by calibrating from post-Newtonian approximation; The merger and ringdown ones can be gotten from the…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Song Li , Wen-Biao Han