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Related papers: Spectral stability of near-extremal spacetimes

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Black hole spectroscopy is a powerful tool to probe the Kerr nature of astrophysical compact objects and their environment. The observation of multiple ringdown modes in gravitational waveforms could soon lead to high-precision…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Kyriakos Destounis , Rodrigo Panosso Macedo , Emanuele Berti , Vitor Cardoso , José Luis Jaramillo

In this work, we wish to address the question -- whether the quasi-normal modes, the characteristic frequencies associated with perturbed black hole spacetimes, central to the stability of these black holes, are themselves stable. Though…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Subhodeep Sarkar , Mostafizur Rahman , Sumanta Chakraborty

Pseudospectral analyses have broadened our understanding of ringdown waveforms from binary remnants, by providing insight into both the stability of their characteristic frequencies under environmental perturbations, as well as the…

General Relativity and Quantum Cosmology · Physics 2024-02-12 Kyriakos Destounis , Valentin Boyanov , Rodrigo Panosso Macedo

The resonant mode spectrum of the Kerr-Newman spacetime is presently unknown. These modes, called the quasinormal modes, play a central role in determining the stability of Kerr-Newman black holes and their response to perturbations. We…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Zachary Mark , Huan Yang , Aaron Zimmerman , Yanbei Chen

The quasinormal mode spectrum of black holes is unstable against small modifications of the radial potential describing massless perturbations. We study how these small modifications affect the convergence of the quasinormal mode expansion…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Naritaka Oshita , Emanuele Berti , Vitor Cardoso

We provide an in-depth investigation of quasinormal-mode oscillations of Kerr black holes with nearly extremal angular momenta. We first discuss in greater detail the two distinct types of quasinormal mode frequencies presented in a recent…

General Relativity and Quantum Cosmology · Physics 2013-08-28 Huan Yang , Aaron Zimmerman , Anıl Zenginoğlu , Fan Zhang , Emanuele Berti , Yanbei Chen

A (charged) rotating black hole may be unstable against a (charged) massive scalar field perturbation due to the existence of superradiance modes. The stability property depends on the parameters of the system. In this paper, the…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Jia-Mao Lin , Ming-Jian Luo , Zi-Han Zheng , Lei Yin , Jia-Hui Huang

We investigate the pseudospectrum of a Schwarzschild-like spacetime within the framework of black hole perturbation theory to analyze a counterintuitive assertion regarding the instability of quasinormal modes. Recent findings suggest that…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Pedro Henrique Croti Siqueira , Lucas Tobias de Paula , Rodrigo Panosso Macedo , Maurício Richartz

Black-hole spectroscopy is a powerful tool to probe the Kerr nature of astrophysical compact objects and their environment. The observation of multiple ringdown modes in gravitational waveforms could soon lead to high-precision…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Kyriakos Destounis , Francisco Duque

We present a short review of the analytical aspects of recent progress in the study of black hole spectral instability and its potential observational consequences. This topic, inspired by earlier foundational works, has attracted…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Shui-Fa Shen , Guan-Ru Li , Ramin G. Daghigh , Jodin C. Morey , Michael D. Green , Wei-Liang Qian , Rui-Hong Yue

Recent studies have shown that quasinormal modes suffer from spectral instabilities, a frailty of black holes that leads to disproportional migration of their spectra in the complex plane when black-hole effective potentials are modified by…

General Relativity and Quantum Cosmology · Physics 2023-11-16 Aubin Courty , Kyriakos Destounis , Paolo Pani

Recent work applying the notion of pseudospectrum to gravitational physics showed that the quasinormal mode spectrum of black holes is unstable, with the possible exception of the longest-lived (fundamental) mode. The fundamental mode…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Mark Ho-Yeuk Cheung , Kyriakos Destounis , Rodrigo Panosso Macedo , Emanuele Berti , Vitor Cardoso

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…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Rong-Gen Cai , Li-Ming Cao , Jia-Ning Chen , Zong-Kuan Guo , Liang-Bi Wu , Yu-Sen Zhou

The quasi-normal mode (QNM) spectrum of black holes is unstable under small perturbation of the potential and has observational consequences in time signals. Such signals might be experimentally difficult to observe and probing this…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Theo Torres

It has been shown, via specific examples and a pseudospectrum analysis, that the black hole quasinormal spectra are unstable. The implication of such a result for gravitational-wave physics and of our understanding of black holes is, still,…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Vitor Cardoso , Shilpa Kastha , Rodrigo Panosso Macedo

Stability criteria of nearly extreme black holes in the perturbations level is one of the interesting issues in gravitational systems. Considering the nearly extreme conformal-de Sitter black holes, in this paper, we obtain an exact…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Mehrab Momennia , Seyed Hossein Hendi

We calculate the spectrum of quasinormal modes of slowly rotating Kerr-Newman black holes. Using a perturbative double expansion method, second order in rotation and first order in non-radial perturbations, we obtain the system of equations…

General Relativity and Quantum Cosmology · Physics 2023-04-20 Jose Luis Blázquez-Salcedo , Fech Scen Khoo

Recent investigations of the pseudospectrum in black hole spacetimes have shown that quasinormal mode frequencies suffer from spectral instabilities. This phenomenon may severely affect gravitational-wave spectroscopy and limit precision…

General Relativity and Quantum Cosmology · Physics 2023-03-13 Valentin Boyanov , Kyriakos Destounis , Rodrigo Panosso Macedo , Vitor Cardoso , José Luis Jaramillo

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…

General Relativity and Quantum Cosmology · Physics 2016-04-14 Aaron Zimmerman , Zachary Mark

Recent studies have shown that a secondary potential barrier, forming a potential well outside the event horizon, can destabilize the Quasinormal Mode (QNM) spectrum of black holes. We find that spectral instability may persist even after…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Peng Wang , Tianshu Wu
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