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We present a new method for determining the frequencies and wavefunctions of black hole quasinormal modes (QNMs) and Regge poles. The key idea is a novel ansatz for the wavefunction, which relates the high-$l$ wavefunctions to null…

广义相对论与量子宇宙学 · 物理学 2010-04-30 Sam R. Dolan , Adrian C. Ottewill

We investigate the quasinormal mode (QNM) spectrum of a Kerr-like black-bounce spacetime under massive scalar-field perturbations. Starting from the Kerr-like deformation of the Simpson--Visser black-bounce geometry, we derive the…

广义相对论与量子宇宙学 · 物理学 2025-12-30 Yi Yang , Dong Liu , Ali Övgün , Zheng-Wen Long , Zhaoyi Xu

We present a novel approach, $\textit{Metric pErTuRbations wIth speCtral methodS}$ (METRICS), to calculate the gravitational metric perturbations and the quasinormal-mode frequencies of rotating black holes of any spin without decoupling…

广义相对论与量子宇宙学 · 物理学 2024-03-05 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

Since the Bekenstein's proposal that a black hole has equally spaced area spectrum, the quasinormal modes as the characteristic modes of a black hole have been used in obtaining the horizon area spectrum of the black hole. However, the area…

高能物理 - 理论 · 物理学 2010-06-25 Yongjoon Kwon , Soonkeon Nam

We have extended the semianalytic technique of Iyer and Will for computing the complex quasinormal frequencies of black holes, $\omega,$ by constructing the Pad\'e approximants of the (formal) series for $\omega^{2}$. It is shown that for…

广义相对论与量子宇宙学 · 物理学 2017-07-19 Jerzy Matyjasek , Michał Opala

We investigate the pseudospectrum of the Kerr black hole, which indicates the instability of the spectrum of quasinormal modes (QNMs) of the Kerr black hole. Methodologically, we use the hyperboloidal framework to cast the QNM problem into…

广义相对论与量子宇宙学 · 物理学 2025-03-13 Rong-Gen Cai , Li-Ming Cao , Jia-Ning Chen , Zong-Kuan Guo , Liang-Bi Wu , Yu-Sen Zhou

Despite recent progress, the complete understanding of the perturbations of charged, rotating black holes as described by the Kerr-Newman metric remains an open and fundamental problem in relativity. In this study, we explore the existence…

广义相对论与量子宇宙学 · 物理学 2016-04-14 Aaron Zimmerman , Zachary Mark

We investigate the quasi-normal modes (QNMs) under the gravitational field perturbations and the grey-body factors for a class of regular black holes with sub-Planckian curvature and Minkowski core. Specifically, we compute the QNMs with…

广义相对论与量子宇宙学 · 物理学 2025-03-28 Chen Tang , Yi Ling , Qing-Quan Jiang

Recent studies have shown that rotating black holes can undergo spontaneous scalarization, leading to deviations from general relativity in the strong-field regime. We present the first nonperturbative calculation of the quasinormal modes…

广义相对论与量子宇宙学 · 物理学 2025-11-05 Wei Xiong , Peng-Cheng Li

We compute for the first time very highly damped quasinormal modes of the (rotating) Kerr black hole. Our numerical technique is based on a decoupling of the radial and angular equations, performed using a large-frequency expansion for the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Emanuele Berti , Vitor Cardoso , Shijun Yoshida

We consider the stability of six-dimensional singly rotating Myers-Perry black holes under massive scalar perturbations. Using Leaver's continued fraction method, we compute the quasinormal modes of the massive scalar fields. All modes…

广义相对论与量子宇宙学 · 物理学 2023-07-11 Kai-Peng Lu , Wenbin Li , Jia-Hui Huang

We present a comprehensive analysis of the quasinormal modes (QNMs) of a massive scalar field in Schwarzschild spacetime using two complementary numerical techniques: the Hill-determinant method and Leaver continued-fraction method. Our…

广义相对论与量子宇宙学 · 物理学 2025-12-03 Matheus F. S. Alves , Bruno P. Pônquio , L. G. Medeiros

We consider the problem of quasinormal modes (QNM) for strongly hyperbolic systems on stationary, asymptotically anti-de Sitter black holes, with very general boundary conditions at infinity. We argue that for a time slicing regular at the…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Claude M. Warnick

In this study, we extend Leaver's continued fraction method to evaluate black hole quasinormal modes (QNMs) in systems where the effective potential exhibits a discontinuity. Besides the low-lying modes, we particularly focus on high…

广义相对论与量子宇宙学 · 物理学 2026-02-20 Guan-Ru Li , Jodin C. Morey , Wei-Liang Qian , Ramin G. Daghigh , Michael D. Green , Kai Lin , Rui-Hong Yue

We extend recent work of Hatsuda on the computation of quasinormal mode frequencies via analytic continuation of bound state energies and Borel-Pade resummation of the Bender-Wu perturbation series to the case of charged fields in the…

广义相对论与量子宇宙学 · 物理学 2020-08-11 Dan Stefan Eniceicu , Matthew Reece

The nonlinear superposition of the delta-metric and the Kerr metric results in delta-Kerr metric that represents a deformed Kerr black hole with delta = 1 + q, where q > 0 is proportional to the nonrelativistic quadrupole moment of the…

广义相对论与量子宇宙学 · 物理学 2020-02-10 Alireza Allahyari , Hassan Firouzjahi , Bahram Mashhoon

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…

广义相对论与量子宇宙学 · 物理学 2025-09-23 Milena Skvortsova

The aim of this paper is to present a general way to calculate quasi-normal modes (QNM) of the Teukolsky equation for higher dimensional (d > 4) Kerr spacetime with compactified extra dimensions. In order to do so, we develop a formalism…

广义相对论与量子宇宙学 · 物理学 2026-05-08 Mattia Villani

We analyze the quasinormal modes (QNMs) of a recently obtained solution of a Schwarzschild black hole (BH) with corrections motivated by Loop Quantum Gravity (LQG). This spacetime is regular everywhere and presents the global structure of a…

广义相对论与量子宇宙学 · 物理学 2023-05-17 Zeus S. Moreira , Haroldo C. D. Lima Junior , Luís C. B. Crispino , Carlos A. R. Herdeiro

In this paper we study the fermion quasi-normal modes of a 4-dimensional rotating black-hole using the WKB(J) (to third and sixth order) and the AIM semi-analytic methods in the massless Dirac fermion sector. These semi-analytic…

广义相对论与量子宇宙学 · 物理学 2012-01-30 W. A. Carlson , A. S. Cornell , B. Jordan