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Related papers: Pseudospectra of complex momentum modes

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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

Quasinormal frequencies of electromagnetic and gravitational perturbations in asymptotically AdS spacetime can be identified with poles of the corresponding real-time Green's functions in a holographically dual finite temperature field…

High Energy Physics - Theory · Physics 2009-07-09 Pavel K. Kovtun , Andrei O. Starinets

We calculate the quasinormal modes of a nonsingular spherically symmetric black hole effective model with holonomy corrections. The model is based on quantum corrections inspired by loop quantum gravity. It is covariant and results in a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Douglas M. Gingrich

We investigate the possibility of using quasi-normal modes (QNMs) to probe the microscopic structure of two-dimensional (2D) anti-de Sitter (AdS$_2$) dilatonic black holes. We first extend previous results on the QNMs spectrum, found for…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Mariano Cadoni , Mauro Oi , Andrea Pierfrancesco Sanna

We study the quasi-normal modes of asymptotically anti-de Sitter black holes in a class of shift-symmetric Horndeski theories where a gravitational scalar is derivatively coupled to the Einstein tensor. The space-time differs from exact…

General Relativity and Quantum Cosmology · Physics 2017-11-17 Ruifeng Dong , Jeremy Sakstein , Dejan Stojkovic

In this article, we study the stability of black hole solutions found in the context of dilatonic Horava-Lifshitz gravity in $1+1$ dimensions by means of the quasinormal modes approach. In order to find the corresponding quasinormal modes,…

General Relativity and Quantum Cosmology · Physics 2016-02-22 Miguel Cruz , Manuel Gonzalez-Espinoza , Joel Saavedra , Diego Vargas-Arancibia

We discuss the analytic calculation of quasi-normal modes of various types of perturbations of black holes both in asymptotically flat and anti-de Sitter spaces. We obtain asymptotic expressions and also show how corrections can be…

High Energy Physics - Theory · Physics 2010-05-28 George Siopsis

We compute the quasinormal frequencies of $d$-dimensional spherically symmetric black holes with leading string $\alpha'$ corrections for tensorial gravitational perturbations in the highly damped regime. We solve perturbatively the master…

High Energy Physics - Theory · Physics 2021-08-20 Filipe Moura , João Rodrigues

We use the inverse-dimensional expansion to compute analytically the frequencies of a set of quasinormal modes of static black holes of Einstein-(Anti-)de Sitter gravity, including the cases of spherical, planar or hyperbolic horizons. The…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

In this paper, we first investigate the thermal stability of black holes in conformal Weyl gravity with a comparison with the Schwarzschild black holes. Then, we consider a minimally coupled massive scalar perturbation and calculate the…

High Energy Physics - Theory · Physics 2022-08-09 Mehrab Momennia , Seyed Hossein Hendi , Fatemeh Soltani Bidgoli

We provide a rigorous definition of quasinormal modes for the Kerr black hole. They are obtained as the discrete set of poles of the meromorphically continued cutoff resolvent. The construction combines the method of complex scaling near…

Analysis of PDEs · Mathematics 2025-07-23 Thomas Stucker

Using series solutions and time-domain evolutions, we probe the eikonal limit of the gravitational and scalar-field quasinormal modes of large black holes and black branes in anti-de Sitter backgrounds. These results are particularly…

High Energy Physics - Theory · Physics 2009-09-02 Jaqueline Morgan , Vitor Cardoso , Alex S. Miranda , C. Molina , Vilson T. Zanchin

We provide a rigorous definition of quasi-normal modes for a rotating black hole. They are given by the poles of a certain meromorphic family of operators and agree with the heuristic definition in the physics literature. If the black hole…

Analysis of PDEs · Mathematics 2011-07-21 Semyon Dyatlov

We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti-de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey

A novel method, based on superpotentials is proposed for obtaining the quasi-normal modes of anti-de Sitter black holes. This is inspired by the case of the three-dimensional BTZ black hole, where the quasi-normal modes can be obtained…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. R. Govindarajan , V. Suneeta

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

We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 +1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions. Thus, the…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Sharmanthie Fernando , P. A. González , Yerko Vásquez

It was pointed out that the black hole quasinormal modes resulting from a piecewise approximate potential are drastically distinct from those pertaining to the original black hole metric. In particular, instead of lining up parallel to the…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Wei-Liang Qian , Kai Lin , Cai-Ying Shao , Bin Wang , Rui-Hong Yue

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

Dilaton black hole solutions in low energy string theory (well known as GMGHS black holes) have analogue black holes with a cosmological constant derived by Gao and Zhang. Here, we study quasi normal modes of this dilaton-de Sitter black…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Sharmanthie Fernando