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A brief reference to the two Schwarzschild solutions and what Petrov had to say about them is given. Comments on how the Schwarzschild vacuum solution describes a black hole are also provided. Then we compare the properties, differences and…

General Relativity and Quantum Cosmology · Physics 2012-11-09 José P. S. Lemos

In this work, we investigate the relation between bound states and quasinormal modes within black hole perturbation theory in the context of spectral instability. Our analysis indicates that the reliability of such spectral mapping…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Guan-Ru Li , Wei-Liang Qian , Xiao-Mei Kuang , Ramin G. Daghigh , Jodin C. Morey , Michael D. Green , Peng Xu , Rui-Hong Yue

We review the main results obtained in the literature on quasi-normal modes of compact stars and black holes, in the light of recent exciting developments of gravitational wave detectors. Quasi-normal modes are a fundamental feature of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Ferrari , L. Gualtieri

The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yanqiang Liu , Benrong Mu , Jun Tao , Yuling Weng

Within the effective field theory approach to gravity, deviations from general relativity can be systematically described by higher-curvature operators. However, computing the resulting corrections to black hole quasinormal mode spectra…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Tom van der Steen , Simon Maenaut , Stef J. B. Husken , Pedro G. S. Fernandes , Maxim D. Jockwer , Vitor Cardoso , Thomas Hertog , Tjonnie G. F. Li

A number of near-extremal conditions are utilized to simplify the equation of motion of the neutral scalar perturbations in generalized spherically symmetric black hole background into a differential equation with the P\"{o}schl-Teller…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Piyabut Burikham , Supakchai Ponglertsakul , Taum Withucharn

In this work, we use a parametrized theory-agnostic approach that connects the observation of black hole quasi-normal modes with the underlying perturbation equations, with the goal of reconstructing the potential and the coupling functions…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Sebastian H. Völkel , Nicola Franchini , Enrico Barausse

We present a comprehensive study of the quasinormal modes of a new class of nonlocal static and spherically symmetric black hole (BH) solutions within the framework of the revised Deser-Woodard theory of gravity. These solutions are…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Rocco D'Agostino , Vittorio De Falco

We develop a class of regular black holes by prescribing finite curvature invariants and reconstructing the corresponding spacetime geometry. Two distinct approaches are employed: one based on the Ricci scalar and the other on the Weyl…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Chen Lan , Zhen-Xiao Zhang , Hao Yang

In the previous paper (Li, X. Z., Xi, P., Zhai, X. H.: Phys. Lett. B{\bf666}, 125-130 (2008)), we show the solutions of Einstein equations with static spherically-symmetric quintessence-like matter surrounding a global monopole.…

General Relativity and Quantum Cosmology · Physics 2009-06-04 Ping Xi

Ringdown gravitational waves of compact object binaries observed by ground-based gravitational-wave detectors encapsulate rich information to understand remnant objects after the merger and to test general relativity in the strong field. In…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Norichika Sago , Soichiro Isoyama , Hiroyuki Nakano

The quasinormal modes of relativistic compact objects encode important information about the gravitational response associated with astrophysical phenomena. Detecting such oscillations would provide us with a unique understanding of the…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Caio F. B. Macedo , Vitor Cardoso , Luís C. B. Crispino , Paolo Pani

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

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

We study scalar test-field perturbations on top of a Kerr--black-bounce background, i.e. a family of rotating regular black holes and/or rotating traversable wormholes that can mimic Kerr black holes. We compute the quasi-normal modes for a…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Edgardo Franzin , Stefano Liberati , Jacopo Mazza , Ramit Dey , Sumanta Chakraborty

Recent investigations of the pseudospectrum in black hole spacetimes have shown that quasinormal mode frequencies suffer from spectral instabilities. This phenomenon may severely affect gravitational-wave spectroscopy and limit precision…

General Relativity and Quantum Cosmology · Physics 2023-03-13 Valentin Boyanov , Kyriakos Destounis , Rodrigo Panosso Macedo , Vitor Cardoso , José Luis Jaramillo

We obtain the quasi-normal mode frequencies of scalar perturbation on new type black holes in three dimensional new massive gravity. In some special cases, the exact quasi-normal mode frequencies are obtained by solving scalar field…

High Energy Physics - Theory · Physics 2011-06-24 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

We obtain exact expressions for the quasi-normal modes of various spin for the BTZ black hole. These modes determine the relaxation time of black hole perturbations. Exact agreement is found between the quasi-normal frequencies and the…

High Energy Physics - Theory · Physics 2009-11-07 Danny Birmingham , Ivo Sachs , Sergey N. Solodukhin

The bell-like ringdown of the gravitational field in the last stage of the merging of massive black holes is now routinely detected on earth by the last generation of gravitational wave detectors. Its spectrum is interpreted as a sum of…

So far the study of black hole perturbations has been mostly focussed upon the classical black holes with singularities at the origin and hidden by event horizon. Compared to that, the regular black holes are a completely new class of…

General Relativity and Quantum Cosmology · Physics 2017-12-07 Wadbor Wahlang , Piyush A. Jeena , S. Chakrabarti