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We compute the Quasi-Normal Mode (QNM) frequencies for scalar perturbations for modified Schwarzschild black holes in Loop Quantum Gravity. We study the singularity-free polymerized metric characterised by two parameters encoding loop…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Etera R. Livine , Clara Montagnon , Naritaka Oshita , Hugo Roussille

According to a recent proposal, the so-called Barbero-Immirzi parameter of Loop Quantum Gravity can be fixed, using Bohr's correspondence principle, from a knowledge of highly-damped black hole oscillation frequencies. Such frequencies are…

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

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

In this paper we focus on the relation between quasinormal modes (QNMs) and a rotating black hole shadows. As a specific example, we consider the quantum deformed Kerr black hole obtained via Newman--Janis--Azreg-A\"{\i}nou algorithm. In…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Qiang Wu

We discuss an approach to obtaining black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM), initially developed to solve second order ordinary differential equations. We introduce the standard version of this method…

General Relativity and Quantum Cosmology · Physics 2012-05-08 H. T. Cho , A. S. Cornell , Jason Doukas , T. R. Huang , Wade Naylor

Using a recently developed perturbation theory for uasinormal modes (QNM's), we evaluate the shifts in the real and imaginary parts of the QNM frequencies due to a quasi-static perturbation of the black hole spacetime. We show the perturbed…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. T. Leung , Y. T. Liu , W. -M. Suen , C. Y. Tam , K. Young

The hidden Kerr/CFT proposal implies that the massless scalar wave equation in the near-region and low-frequency limit respects a hidden SL(2,R)$\times$SL(2,R) invariance in the Kerr black hole spacetime. We may use this symmetry to…

High Energy Physics - Theory · Physics 2015-06-16 Taeyoon Moon , Yun Soo Myung

Quadratic quasi-normal modes, generated at second order in black hole perturbation theory, are a promising target for testing gravity in the nonlinear regime with next-generation gravitational wave detectors. While their frequencies have…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Bruno Bucciotti , Leonardo Juliano , Adrien Kuntz , Enrico Trincherini

We find accurate quasinormal frequencies of a quantum corrected black hole constructed in the renormalization group theory via the coordinate-independent iterative procedure, leading to the Dymnikova regular black hole. We show that while…

General Relativity and Quantum Cosmology · Physics 2023-05-29 R. A. Konoplya , Z. Stuchlik , A. Zhidenko , A. F. Zinhailo

The quasinormal modes (QNMs) of a rotating quantum corrected black hole (RQCBH) are studied by employing the hyperboloidal framework for the scalar perturbation. This framework is used to cast the QNMs spectra problem into a two-dimensional…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Jia-Ning Chen , Zong-Kuan Guo , Liang-Bi Wu

One of the central goals of the newborn field of gravitational wave astronomy is to test gravity in the highly nonlinear, strong field regime characterizing the spacetime of black holes. In particular, "black hole spectroscopy" (the…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Kostas Glampedakis , George Pappas , Hector O. Silva , Emanuele Berti

The perturbations of the Kerr metric and the miracle of their exact solutions play a critical role in the comparison of predictions of general relativity with astrophysical observations of compact massive objects. The differential equations…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Denitsa Staicova , Plamen Fiziev

One simplified black hole model constructed from a semiclassical analysis of loop quantum gravity (LQG) is called self-dual black hole. This black hole solution depends on a free dimensionless parameter P known as the polymeric parameter…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Victor Santos , R. V. Maluf , C. A. S. Almeida

We present a novel approach to the numerical computation of quasi-normal modes, based on the first-order (in radial derivative) formulation of the equations of motion and using a matrix version of the continued fraction method. This…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Hugo Roussille , David Langlois , Karim Noui

Motivated by novel results in the theory of black-hole quantization, we study {\it analytically} the quasinormal modes (QNM) of ({\it rotating}) Kerr black holes. The black-hole oscillation frequencies tend to the asymptotic value…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shahar Hod

We study quasinormal modes of scalar, electromagnetic, and Dirac perturbations of four-dimensional regular black holes arising in non-polynomial quasi-topological gravity. Starting from a more general class of metric functions constructed…

General Relativity and Quantum Cosmology · Physics 2026-03-04 R. A. Konoplya

We provide semi-analytic expressions for quasinormal mode frequencies of slowly rotating Kerr black holes to the quadratic order in the rotation parameter. We apply the parametrized black hole quasinormal mode ringdown formalism to the…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Yasuyuki Hatsuda , Masashi Kimura

In this paper, we examine the behavior of modes of the Kerr geometry when the mode's frequency is purely imaginary. We demonstrate that quasinormal modes must be polynomial in nature if their frequency is purely imaginary, and present a…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Gregory B. Cook , Maxim Zalutskiy

We develop a quantum optical framework for probing black hole quasinormal modes (QNMs) using two-level atoms in the spirit of the horizon-brightened acceleration radiation (HBAR) program. Starting from the QNM contribution to the Wightman…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Ali Övgün

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