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The quasinormal frequencies of massive scalar fields on Kerr-AdS black holes are identified with poles of a certain meromorphic family of operators, once boundary conditions are specified at the conformal boundary. Consequently, the…

Analysis of PDEs · Mathematics 2018-08-09 Oran Gannot

A simple one-parameter generalization of the Schwarzschild spacetime was recently suggested by A. Simpson and M. Visser [JCAP 1902, 042 (2019)] as a toy model describing the regular black hole and traversable wormhole states separated by…

General Relativity and Quantum Cosmology · Physics 2020-03-09 M. S. Churilova , Z. Stuchlik

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

We apply exact WKB analysis to the spectral problem arising in black hole perturbation theory. The boundary conditions for quasinormal modes lead to exact quantization conditions for the complex frequencies. To solve these conditions, one…

High Energy Physics - Theory · Physics 2026-05-05 Yasuyuki Hatsuda , Tomohito Shiga

In the present work we compute the spectrum of quasinormal frequencies of four-dimensional charged black holes in Einstein-power-Maxwell theory. In particular we study scalar perturbations adopting the 6th order WKB approximation. We…

High Energy Physics - Theory · Physics 2018-07-04 Grigoris Panotopoulos , Angel Rincon

The differential equations governing the late-time ring-down of the perturbations of the Kerr metric, the Teukolsky Angular Equation and the Teukolsky Radial Equation, can be solved analytically in terms of confluent Heun functions. In this…

High Energy Astrophysical Phenomena · Physics 2012-12-24 Denitsa Staicova , Plamen Fiziev

Black hole (BH) spectroscopy has emerged as a powerful approach to extract spacetime information from gravitational wave (GW) observed signals. Yet, quasinormal mode (QNM) spectral instability under high wave-number perturbations has been…

General Relativity and Quantum Cosmology · Physics 2022-06-08 José Luis Jaramillo , Rodrigo Panosso Macedo , Lamis Al Sheikh

We compute the quasinormal frequencies of rotating black holes using the continued fraction method first proposed by Leaver. The main difference with former works, is that our results are obtained by a new numerical technique which avoids…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Giammatteo

Quasinormal modes of rapidly rotating black holes are crucial in understanding the ringdown phase after a merger. While for Kerr black holes these modes have been known for a long time, their calculation has remained a challenge in…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Burkhard Kleihaus , Jutta Kunz

Quasinormal mode (QNM) gravitational radiation from black holes is expected to be observed in a few years. A perturbative formula is derived for the shifts in both the real and the imaginary part of the QNM frequencies away from those of an…

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

It is well-known that there is a geometric correspondence between high-frequency quasi-normal modes (QNMs) and null geodesics (spherical photon orbits). In this paper, we generalize such correspondence to charged scalar field in Kerr-Newman…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Peng Zhao , Yu Tian , Xiaoning Wu , Zhaoyong Sun

The gravitational consequence of local Lorentz violation (LV) should show itself in derivation of the characteristic quasinormal ringing of black hole mergers from their general relativity case. In this paper, we study quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Chikun Ding

The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild black hole is investigated by using continued fraction and Hill-determinant approaches. It is shown that the fundamental quasinormal…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jiliang Jing

We investigate the quasinormal modes (QNMs) of a massive scalar field in the background of a regular black hole arising from the proper-time flow in asymptotically safe gravity. This quantum-corrected geometry, characterized by a…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Milena Skvortsova

Quasinormal modes for bosonic (scalar, electromagnetic, and axial gravitational) and fermionic field perturbations, radiated from black holes that carry quantum gravitational corrections at third order in the curvature to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-01-09 R. Casadio , C. Noberto Souza , R. da Rocha

In this paper we systematically study a model of spherically symmetric polymer black holes recently proposed by Gambini, Olmedo, and Pullin (GOP). Within the framework of loop quantum gravity, the quantum parameters in the GOP model depend…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Yu-Chen Liu , Jia-Xi Feng , Fu-Wen Shu , Anzhong Wang

When a classical black hole is perturbed, its relaxation is governed by a set of quasinormal modes with complex frequencies \omega= \omega_R+i\omega_I. We show that this behavior is the same as that of a collection of damped harmonic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Maggiore

We investigate the interior structure, perturbations, and the associated quasinormal modes of a quantum black hole model recently proposed by Bodendorfer, Mele, and M\"unch (BMM). Within the framework of loop quantum gravity, the quantum…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Mariam Bouhmadi-López , Suddhasattwa Brahma , Che-Yu Chen , Pisin Chen , Dong-han Yeom

We calculate quasinormal modes of scalar and neutrino perturbations around the charged black hole in Asymptotically Safe Gravity. We show that the charge and coupling constant change the quasinormal spectrum considerably. We show that…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Alexey Dubinsky

In this study, we examine the impacts of black hole spin, Lorentz-violating parameter, and the scalar field's mass on quasinormal modes (QNMs) of rotating Einstein-Bumblebee black holes, including computations up to the second-order…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Weike Deng , Wentao Liu , Fen Long , Kui Xiao , Jiliang Jing