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Related papers: (In)stability of de Sitter Quasinormal Mode spectr…

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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

In this work we explore some aspects of the spectral instability of back hole quasi-normal modes, using a specific model as an example. The model is that of a small bump perturbation to the effective potential of linear axial gravitational…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Valentin Boyanov

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

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

We consider the dynamics of bodies with "active" microstructure described by vector-valued phase fields. For waves with time-varying amplitude, the associated evolution equation involves a matrix that can be non-normal, depending on the…

Mathematical Physics · Physics 2025-02-18 Michele Benzi , Daniele La Pegna , Paolo Maria Mariano

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

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

We calculate the exact values of the quasinormal frequencies for an electromagnetic field and a gravitational perturbation moving in $D$-dimensional de Sitter spacetime ($D \geq 4$). We also study the quasinormal modes of a real massive…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. López-Ortega

Recently, in the context of dS/CFT correspondence, quasinormal modes have been put forward to address certain features of this conjecture. In particular, it is argued that the dual states of quasi-normal modes are in fact the states of…

General Relativity and Quantum Cosmology · Physics 2014-09-10 M. Reza Tanhayi

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

We present the improved Mathematica code which computes quasinormal frequencies with the help of the Bernstein spectral method for a general class of black holes, allowing for asymptotically flat, de Sitter or anti-de Sitter asymptotic. The…

General Relativity and Quantum Cosmology · Physics 2023-02-07 R. A. Konoplya , A. Zhidenko

Black holes in anti-de Sitter spacetime provide an important testing ground for both gravitational and field-theoretic phenomena. In particular, the study of perturbations can be useful to further our understanding regarding certain…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Valentin Boyanov , Vitor Cardoso , Kyriakos Destounis , José Luis Jaramillo , Rodrigo Panosso Macedo

Quasinormal modes describe the relaxation of perturbed black holes and relate ringdown observables to the background geometry. In this work we study the problem in a de Sitter setting within a generalized Proca branch that generates an…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Zainab Malik

It has been suggested that the spectrum of quasinormal modes of rotating black holes is unstable against additional potential terms in the perturbation equation, as the operator associated with the equation is non-self-adjoint. We point out…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Huan Yang , Jun Zhang

We propose a new method to study the quasi-normal modes of rotating relativistic stars. Oscillations are treated as perturbations in the frequency domain of the stationary, axisymmetric background describing a rotating star. The perturbed…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Ferrari , L. Gualtieri , S. Marassi

Analyzing the stability of quasinormal modes (QNM) is essential for understanding black hole dynamics, particularly in the context of gravitational wave emissions and black hole spectroscopy. In this study, we employ the hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Lucas Tobias de Paula , Pedro Henrique Croti Siqueira , Rodrigo Panosso Macedo , Maurício Richartz

While $(2+1)$-dimensional black holes in the Einstein theory allow for only the anti-de Sitter asymptotic, when the higher curvature correction is tuned on, the asymptotically flat, de Sitter and anti-de Sitter cases are included. Here we…

General Relativity and Quantum Cosmology · Physics 2024-04-25 Milena Skvortsova

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

The P\"ochl-Teller effective potential mimics an asymptotically de Sitter black hole bounded by an event horizon and a cosmological one. Owing to the benefit of being analytically soluble, the asymptotic quasinormal modes in the modified…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Guan-Ru Li , Wei-Liang Qian , Ramin G. Daghigh

We study an inverse resonance problem for the scalar wave equation on the Kerr-de Sitter family. In a compact subextremal slow-rotation regime and at a fixed overtone index, high-frequency quasinormal modes admit semiclassical quantization…

Mathematical Physics · Physics 2026-02-18 Ruiliang Li
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