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The purpose of this article is twofold. First, we highlight a simple connection between the real part of quasinormal modes (QNMs) in the eikonal limit and shadow radius of BHs and then explore the effect of dark matter on the QNMs of…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Kimet Jusufi

When adopted in black hole spacetimes, geometric-optics approximations imply a mapping between the quasinormal mode (QNM) spectrum of black holes in the eikonal limit and black hole images. In particular, the real part and the imaginary…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Che-Yu Chen , Yu-Jui Chen , Meng-Yuan Ho , Yung-Hsuan Tseng

In this paper, we explore the quasinormal modes (QNMs) of a black hole surrounded by a fluid of strings within the framework of Rastall gravity. We analyze the behavior of scalar, electromagnetic, and gravitational perturbations, focusing…

High Energy Physics - Theory · Physics 2024-09-26 Ming Zhang , Rui-Hong Yue , De-Cheng Zou

We analytically determine the quasinormal mode (QNM) frequencies of a black hole with quadrupole moment in the eikonal limit using the light-ring method. The generalized black holes that are discussed in this work possess arbitrary…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Alireza Allahyari , Hassan Firouzjahi , Bahram Mashhoon

A conjectured connection to quantum gravity has led to a renewed interest in highly damped black hole quasinormal modes (QNMs). In this paper we present simple derivations (based on the WKB approximation) of conditions that determine the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 N Andersson , C. J. Howls

Black hole solutions in general relativity are simple. The frequency spectrum of linear perturbations around these solutions (i.e., the quasinormal modes) is also simple, and therefore it is a prime target for fundamental tests of black…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Emanuele Berti , Caio F. B. Macedo , Ryan McManus

It is known that the imaginary parts of the quasi normal mode (QNM) frequencies for the Schwarzschild black hole are evenly spaced with a spacing that depends only on the surface gravity. On the other hand, for massless minimally coupled…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Roy Choudhury , T. Padmanabhan

We study the quasinormal modes (QNMs) of dilaton black holes in Einstein-Maxwell-dilaton gravity through a correspondence with the quantum Seiberg-Witten (SW) curve of $\mathcal{N}=2$ SU(2) gauge theory with $N_f=3$ hypermultiplets. By…

High Energy Physics - Theory · Physics 2026-02-13 Jiahui Jiang , Wenhe Cai

We present the first precise calculations of the gravitational quasinormal-mode (QNM) frequencies for spinning black holes with dimensionless angular momenta $J/M^2 := a \lesssim 0.75$ in dynamical Chern-Simons gravity. Using the…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Adrian Ka-Wai Chung , Kelvin Ka-Ho Lam , Nicolas Yunes

We compute the spectrum of quasinormal frequencies of five-dimensional black holes obtained in noncommutative geometry. In particular, we study scalar perturbations of a massive scalar field adopting the 6th order WKB approximation. We…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Grigoris Panotopoulos , Ángel Rincón

Motivated by recent suggestions that highly damped black hole quasinormal modes (QNM's) may provide a link between classical general relativity and quantum gravity, we present an extensive computation of highly damped QNM's of Kerr black…

High Energy Physics - Theory · Physics 2009-11-10 Emanuele Berti , Vitor Cardoso , Kostas D. Kokkotas , Hisashi Onozawa

The supermassive black holes at the centers of galaxies may be surrounded by dark matter spike, which could leave detectable imprints on the gravitational wave signals they emit. In this work, combining the mass model of M87, we present…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Dong Liu , Yi Yang , Zheng-wen Long

We develop the idea that, in quantum gravity where the horizon fluctuates, a black hole should have a discrete mass spectrum with concomitant line emission. Simple arguments fix the spacing of the lines, which should be broad but unblended.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jacob D. Bekenstein , V. F. Mukhanov

The spectrum of the quasinormal modes of the gravitational waves emitted during the ringdown phase following the merger of two black holes is of primary importance in gravitational astronomy. However, the spectrum is extremely sensitive to…

General Relativity and Quantum Cosmology · Physics 2024-07-30 A. Ianniccari , A. J. Iovino , A. Kehagias , P. Pani , G. Perna , D. Perrone , A. Riotto

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

It is known that a quasinormal mode (QNM) of a remnant black hole dominates a ringdown gravitational wave (GW) in a binary black hole (BBH) merger. To study properties of the QNMs, it is important to determine the time when the QNMs appear…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Kazuki Sakai , Ken-ichi Oohara , Hiroyuki Nakano , Masato Kaneyama , Hirotaka Takahashi

We investigate quasinormal modes (QNMs) of scalar, electromagnetic, and axial gravitational perturbations in slowly rotating Kalb-Ramond (KR) black holes, where an antisymmetric tensor field induces spontaneous Lorentz symmetry breaking.…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Weike Deng , Wentao Liu , Kui Xiao , Jiliang Jing

The purpose of this chapter is to provide an overview of the exciting field of black hole quasi-normal modes and its capabilities to test general relativity in the 21st century. After motivating this line of research, we provide a…

General Relativity and Quantum Cosmology · Physics 2023-05-04 Nicola Franchini , Sebastian H. Völkel

The imminent detection of gravitational waves will trigger precision tests of gravity through observations of quasinormal ringing of black holes. While General Relativity predicts just two polarizations of gravitational waves, the so-called…

General Relativity and Quantum Cosmology · Physics 2011-02-02 Paul D. Lasky , Daniela D. Doneva

We compute the spectrum of quasinormal frequencies of regular black holes obtained in the presence of Non-Linear Electrodynamics. In particular, we perturb the black hole with a minimally coupled massive scalar field, and we study the…

General Relativity and Quantum Cosmology · Physics 2019-05-24 Grigoris Panotopoulos , Ángel Rincón