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Related papers: Quadratic Quasi-Normal Modes of a Schwarzschild Bl…

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General Relativity predicts the existence of quadratic quasi-normal modes at second order in perturbation theory. Building on our recent work, we compute the amplitudes and polarizations of these modes for non-rotating black holes, showing…

High Energy Physics - Theory · Physics 2024-12-16 Bruno Bucciotti , Leonardo Juliano , Adrien Kuntz , Enrico Trincherini

We discuss a systematic method of analytically calculating the asymptotic form of quasi-normal frequencies of a four-dimensional Schwarzschild black hole by expanding around the zeroth-order approximation to the wave equation proposed by…

High Energy Physics - Theory · Physics 2009-11-10 Suphot Musiri , George Siopsis

Black holes are found to exist in gravitational theories with the presence of quadratic curvature terms and behave differently from the Schwarzschild solution. We present an exhaustive analysis for determining the quasinormal modes of a…

High Energy Physics - Theory · Physics 2016-01-20 Yi-Fu Cai , Hezi Zhang , Junyu Liu , Gong Cheng , Min Wang

The ringdown of perturbed black holes has been studied since the 1970s, but until recently, studies have focused on linear perturbations. There is now burgeoning interest in nonlinear perturbative effects during ringdown. Here, using a…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Bonga Béatrice , Adam Pound

We adopt Leaver's method to determine quasi normal frequencies of the Schwarzschild black hole in higher (D >= 10) dimensions. In D-dimensional Schwarzschild metric, when D increases, more and more singularities, spaced uniformly on the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andrzej Rostworowski

We investigate the quasinormal modes of a massless scalar field in a Schwarzschild black hole, which is deformed due to noncommutative corrections. We introduce the deformed Schwarzschild black hole solution, which depends on the…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Y. Zhao , Yifu Cai , S. Das , G. Lambiase , E. N. Saridakis , E. C. Vagenas

We compute the quasinormal frequencies for scalar and electromagnetic perturbations of an improved Schwarzschild geometry in the framework of asymptotically safe gravity, which is one of the approaches to quantum gravity. Adopting the…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Angel Rincon , Grigoris Panotopoulos

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

Studies of quasinormal modes (QNMs) of black holes have a long and well established history. Predominantly, much research in this area has customarily focused on the equations given by Regge, Wheeler and Zerilli. In this work we study…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Bishop Mongwane , Sipho Nkele , Didam G. A. Duniya , Nigel T. Bishop

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

In this work, we have studied the quasinormal modes of a black hole in a model of the type $f(Q)=\underset{n}{\sum}a_{n}\left(Q-Q_{0}\right)^{n} $ in $f(Q)$ gravity by using a recently introduced method known as Bernstein spectral method…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Dhruba Jyoti Gogoi , Ali Övgün , M. Koussour

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 detection of quadratic quasi-normal modes would provide a direct probe into black hole nonlinear perturbations. We report the first observational evidence of a set of quadratic quasi-normal modes in the gravitational-wave ringdown of a…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Yi-Fan Wang , Sizheng Ma , Neev Khera , Huan Yang

In the aftermath of a binary black hole merger event, the gravitational wave signal emitted by the remnant black hole is modeled as a superposition of damped sinusoids known as quasinormal modes. While the dominant quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Sophia Yi , Adrien Kuntz , Enrico Barausse , Emanuele Berti , Mark Ho-Yeuk Cheung , Konstantinos Kritos , Andrea Maselli

The idea that quantum gravity effects might leak outside the horizon of a black hole has recently been intensively considered. In this study, we calculate the quasinormal modes as a function of the location and amplitude of a generic metric…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Aurélien Barrau , Killian Martineau , Jeremy Martinon , Flora Moulin

We derive analytically the amplitude of the quadratic quasi-normal mode generated in the ringdown stage of the gravitational waveform produced by the ultra-relativistic head-on collision of two non-spinning Schwarzschild black holes.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Alex Kehagias , Davide Perrone , Antonio Riotto

We formulate and calculate the second order quasi-normal modes (QNMs) of a Schwarzschild black hole (BH). Gravitational wave (GW) from a distorted BH, so called ringdown, is well understood as QNMs in general relativity. Since QNMs from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hiroyuki Nakano , Kunihito Ioka

We study the quasinormal modes (QNM) for scalar, and electromagnetic perturbations in the Schwarzschild black hole with a deficit solid angle and quintessence-like matter. Using the sixth--order WKB approximation and the improved asymptotic…

General Relativity and Quantum Cosmology · Physics 2024-06-17 L. A. López , Omar Pedraza , Roberto Arceo , V. Ceron

We study the perturbations to General Relativistic black holes (i.e. those without scalar hair) in Horndeski scalar-tensor gravity. First, we derive the equations of odd and even parity perturbations of both the metric and scalar field in…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Oliver J. Tattersall , Pedro G. Ferreira

The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Shigefumi Naka , Haruki Toyoda
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