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A black hole that is ringing down to quiescence emits gravitational radiation of a very specific nature that can inform us of its mass and angular momentum, test the no-hair theorem for black holes, and perhaps even give us additional…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Gregory B. Cook

Modelling of gravitational waves from binary black hole inspiral has played an important role in the recent observations of such signals. The late-stage ringdown phase of the gravitational waveform is often associated with the null particle…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Gaurav Khanna , Richard H. Price

The quasinormal modes of black holes (BHs) in the large-angular-momentum limit can be computed within the eikonal approximation. This approximation is often extrapolated to low angular momentum to obtain a rough estimate of the dominant…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Paolo Pani , Andrea P. Sanna

The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Aaron Zimmerman , Huan Yang , Zachary Mark , Yanbei Chen , Luis Lehner

After the final stage of the merger of two black holes, the ringdown signal takes an important role on providing information about the gravitational dynamics in strong field. We introduce a novel time-domain (TD) approach, predicated on the…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Hai-Tian Wang , Garvin Yim , Xian Chen , Lijing Shao

In previous work [1] we proposed an improvement of the WKB-based semianalytic technique of Iyer and Will for calculation of the quasiormal modes of black holes by constructing the Pad\'e approximants of the formal series for $\omega^{2}.$…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Jerzy Matyjasek , Malgorzata Telecka

We study the waveforms of time signals produced by scalar perturbations in static hairy black holes, in which the perturbations can be governed by a double-peak effective potential. The inner potential peak would give rise to echoes, which…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

In this paper we investigate gravitational perturbations of a regular black hole, particularly Bardeen solution. Such system is solution of Einstein equations that do not have a singularity at the origin of the radial symmetry. However it…

General Relativity and Quantum Cosmology · Physics 2014-07-17 S. C. Ulhoa

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

The measurement of multiple ringdown modes in gravitational waves from binary black hole mergers will allow for testing fundamental properties of black holes in General Relativity, and to constrain modified theories of gravity. To enhance…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Huan Yang , Kent Yagi , Jonathan Blackman , Luis Lehner , Vasileios Paschalidis , Frans Pretorius , Nicolas Yunes

We study quasinormal modes and time-domain profiles of a massive scalar field in the background of black holes arising in Einstein--Gauss--Bonnet--Proca gravity. The black holes in this theory possess \emph{primary Proca hair}, which…

General Relativity and Quantum Cosmology · Physics 2025-10-01 B. C. Lütfüoğlu

Much of our physical intuition about black hole quasinormal modes in general relativity comes from the eikonal/geometric optics approximation. According to the well-established eikonal model, the fundamental quasinormal mode represents…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Kostas Glampedakis , Hector O. Silva

We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

It has been shown, via specific examples and a pseudospectrum analysis, that the black hole quasinormal spectra are unstable. The implication of such a result for gravitational-wave physics and of our understanding of black holes is, still,…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Vitor Cardoso , Shilpa Kastha , Rodrigo Panosso Macedo

Quasinormal modes (QNMs) are usually characterized by their time dependence; oscillations at specific frequencies predicted by black hole (BH) perturbation theory. QNMs are routinely identified in the ringdown of numerical relativity…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Richard Dyer , Christopher J. Moore

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

Recent measurements of gravitational-wave ringdown following the merger of binary black holes raise the prospect of precision black hole spectroscopy in the near future. To perform the most sensitive tests of the nature of black holes using…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Asad Hussain , Aaron Zimmerman

Black hole spectroscopy is a clean and powerful tool to test gravity in the strong-field regime and to probe the nature of compact objects. Next-generation ground-based detectors, such as the Einstein Telescope and Cosmic Explorer, will…

General Relativity and Quantum Cosmology · Physics 2024-03-18 Andrea Maselli , Sophia Yi , Lorenzo Pierini , Vania Vellucci , Luca Reali , Leonardo Gualtieri , Emanuele Berti

Merger gravitational waves from binary black hole coalescence carry rich information about the underlying spacetime dynamics. We analyze merger waves from comparable-mass and extreme-mass-ratio binaries, obtained from numerical relativity…

General Relativity and Quantum Cosmology · Physics 2025-09-12 Naritaka Oshita , Sizheng Ma , Yanbei Chen , Huan Yang

Gravitational waves emitted by distorted black holes---such as those arising from the coalescence of two neutron stars or black holes---carry not only information about the corresponding spacetime but also about the underlying theory of…

General Relativity and Quantum Cosmology · Physics 2020-11-05 Jose Luis Blázquez-Salcedo , Caio F. B. Macedo , Vitor Cardoso , Valeria Ferrari , Leonardo Gualtieri , Fech Scen Khoo , Jutta Kunz , Paolo Pani