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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

Recent studies based on the notion of black hole pseudospectrum indicated substantial instability of the fundamental and high-overtone quasinormal modes. Besides its theoretical novelty, the details about the migration of the quasinormal…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Shui-Fa Shen , Wei-Liang Qian , Kai Lin , Cheng-Gang Shao , Yu Pan

We study in detail the quasinormal modes of linear gravitational perturbations of plane-symmetric anti-de Sitter black holes. The wave equations are obtained by means of the Newman-Penrose formalism and the Chandrasekhar transformation…

General Relativity and Quantum Cosmology · Physics 2016-03-25 Alex S. Miranda , Vilson T. Zanchin

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

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

The gravitational wave strain emitted by a perturbed black hole (BH) ringing down is typically modeled analytically using first-order BH perturbation theory. In this Letter we show that second-order effects are necessary for modeling…

We have studied quasinormal modes of scalar perturbations of a black hole in massive gravity. The parameters of the theory, such as the mass of the black hole, the scalar charge of the black hole and the spherical harmonic index is varied…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Sharmanthie Fernando , Tyler Clark

The quasinormal mode spectrum of black holes is unstable against small modifications of the radial potential describing massless perturbations. We study how these small modifications affect the convergence of the quasinormal mode expansion…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Naritaka Oshita , Emanuele Berti , Vitor Cardoso

We reexamined the argument that the quasinormal modes could be a probe of the phase transition of a topological black hole to a hairy configuration by investigating general scalar perturbations. We found further evidence in the quasinormal…

High Energy Physics - Theory · Physics 2010-02-03 Jianyong Shen , Bin Wang , Chi-Yong Lin , Rong-Gen Cai , Ru-Keng Su

We discuss energy conditions and quasinormal modes for scalar perturbations of regular charged black holes within the framework of General Relativity coupled to non-linear electrodynamics. The frequencies are computed numerically adopting…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Leonardo Balart , Grigoris Panotopoulos , Ángel Rincón

We study analytically quasinormal modes in a wide variety of black hole spacetimes, including $d$--dimensional asymptotically flat spacetimes and non-asymptotically flat spacetimes (particular attention has been paid to the four dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Fu-Wen Shu , You-Gen Shen

It has long been known that null unstable geodesics are related to the characteristic modes of black holes-- the so called quasinormal resonances. The basic idea is to interpret the free oscillations of a black hole in the eikonal limit in…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Shahar Hod

After a long wait, gravitational wave astronomy has finally begun. Binary black hole mergers are being detected by LIGO and Virgo, and theorists are starting to receive a wealth of data to be analized. At this point we can at long last…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Cecilia Chirenti

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

The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Zhongyang Zhang , Emanuele Berti , Vitor Cardoso

The quasinormal mode spectrum of gravitational waves emitted during the black hole ringdown relaxation phase, following the merger of a black hole binary, is a crucial target of gravitational wave astronomy. By considering causality…

General Relativity and Quantum Cosmology · Physics 2024-11-20 A. Kehagias , A. Riotto

Analytic exact expressions for the quasinormal modes of scalar and electromagnetic perturbations around a special class of black holes are found in d\ge3 dimensions. It is shown that, the size of the black hole provides a bound for the…

High Energy Physics - Theory · Physics 2014-11-20 Julio Oliva , Ricardo Troncoso

We carry out the first computation of gravitational quasinormal modes of black holes with arbitrary rotation in a theory with higher-derivative corrections. Our analysis focuses on a recently identified quartic-curvature theory that…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Pablo A. Cano , Marina David , Guido van der Velde

Quasinormal modes are excited during the ringdown phase of black holes after merger. Determination of quasinormal modes of rapidly rotating black holes in alternative theories of gravity has remained a challenge for a long time. Here we…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Burkhard Kleihaus , Jutta Kunz

We have studied quasinormal modes of spinor $\frac{1}{2}$, massless Dirac field perturbations of a black hole in massive gravity. The parameters of the theory, such as the mass of the black hole, the scalar charge of the black hole, mode…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Sharmanthie Fernando
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