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Related papers: Spectral instability in modified P\"oschl-Teller e…

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Here we show that the phenomenon of arbitrarily long-lived quasinormal modes (called quasiresonances) of a massive scalar field in the vicinity of a black hole is not an artifact of the test field approximation, but takes place also when…

General Relativity and Quantum Cosmology · Physics 2018-11-26 R. A. Konoplya , Z. Stuchlík , A. Zhidenko

It has been proved that the charged stringy black holes are stable under the perturbations of massive charged scalar fields. However, superradiant instability can be generated by adding the mirror-like boundary condition to the composed…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Ran Li , Yu Tian , Hongbao Zhang , Junkun Zhao

We analyze evolution of gravitational perturbations of D-dimensional Schwarzschild, Reissner-Nordstr\"om, and Reissner-Nordstrom-de Sitter black holes. It is known that the effective potential for the scalar type of gravitational…

High Energy Physics - Theory · Physics 2010-10-27 R. A. Konoplya , A. Zhidenko

We give strong numerical evidence for the existence of an instability afflicting six-dimensional Reissner-Nordstr\"om de Sitter (RNdS) black holes. This instability is akin of the Konoplya-Zhidenko instability present in RNdS black holes in…

High Energy Physics - Theory · Physics 2021-01-04 Oscar J. C. Dias , Jorge E. Santos

Recent detections of gravitational waves have made black hole quasinormal modes a powerful tool in testing predictions of general relativity. Understanding the spectrum of these quasinormal modes in a broad class of theories beyond general…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Colin Weller , Dongjun Li , Yanbei Chen

We study the instability of the charged Gauss-Bonnet de Sitter black holes under gravito-electromagnetic perturbations. We adopt two criteria to search for an instability of the scalar type perturbations, including the local instability…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Rong-Gen Cai , Li Li , Hao-Tian Sun

We study the linear instability of the charged massless scalar perturbation in regularized 4D charged Einstein-Gauss-Bonnet-AdS black holes by exploring the quasinormal modes. We find that the linear instability is triggered by…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Peng Liu , Chao Niu , Cheng-Yong Zhang

The Nonstationary Schr\"{o}dinger equation with potential being a perturbation of a generic one-dimensional potential by means of a decaying two-dimensional function is considered here in the framework of the extended resolvent approach.…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 M. Boiti , F. Pempinelli , A. K. Pogrebkov , B. Prinari

We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes,…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Hideo Kodama

This paper explores the role of nonlinear electrodynamics on the stable configuration of thin-shell wormholes formulated from two equivalent geometries of Reissner-Nordstr\"om black hole with nonlinear electrodynamics. For this purpose, we…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Faisal Javed , G. Fatima , G. Mustafa , Ali Ovgun

We consider small perturbations of expanding maps induced by skew-product mappings whose base dynamics are not invertible necessarily. Adopting a previously developed perturbative spectral approach, we show stability of the densities of the…

Dynamical Systems · Mathematics 2017-10-30 Yushi Nakano

Spontaneous pattern formation in a variety of spatially extended nonlinear system always occurs through a modulation instability: homogeneous state of the system becomes unstable with respect to growing modulation modes. Therefore, the…

Pattern Formation and Solitons · Physics 2015-08-25 S. Kumar , R. Herrero , M. Botey , K. Staliunas

We study evolution of gravitational perturbations of black strings. It is well known that for all wavenumber less than some threshold value, the black string is unstable against scalar type of gravitational perturbations, which is named the…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Konoplya , Keiju Murata , Jiro Soda , A. Zhidenko

In the presence of non-minimal gravitational couplings, matter field perturbations on a static black hole spacetime may develop unphysical poles in their linearized equations. Physical solutions confined in the domain between the event…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Hsu-Wen Chiang , Sebastian Garcia-Saenz , Aofei Sang

The eigenvalues and eigenvectors of nonnormal matrices can be unstable under perturbations of their entries. This renders an obstacle to the analysis of numerical algorithms for non-Hermitian eigenvalue problems. A recent technique to…

Probability · Mathematics 2026-04-14 Rikhav Shah , Nikhil Srivastava , Edward Zeng

We analyse numerically a pinch-type instability in a semi-infinite planar layer of inviscid conducting liquid bounded by solid walls and carrying a uniform electric current. Our model is as simple as possible but still captures the salient…

Fluid Dynamics · Physics 2017-03-14 Jānis Priede

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

We find a new instability in the four-dimensional Reissner-Nordstrom-de Sitter black holes against charged scalar perturbations with vanishing angular momentum, $l=0$. We show that such an instability is caused by superradiance. The…

High Energy Physics - Theory · Physics 2015-06-19 Zhiying Zhu , Shao-Jun Zhang , C. E. Pellicer , Bin Wang , Elcio Abdalla

We continue our series of papers where we study the quasinormal modes, and their excitation, of black holes in the simplest beyond general relativity model in which first-principle calculations are tractable: a nonrotating black hole in an…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Hector O. Silva , Giovanni Tambalo , Kostas Glampedakis , Kent Yagi

Regular black holes, nonsingular solutions to gravitational collapse with quantum corrections, offer a compelling alternative to classical black holes with curvature singularities. In this work, we investigate how the presence of skewed…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Chen Lan , Ying-Lei Tian , Hao Yang , Zhen-Xiao Zhang , Yan-Gang Miao