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Black hole `spectroscopy', i.e. the identification of quasinormal mode frequencies via gravitational wave observations, is a powerful technique for testing the general relativistic nature of black holes. In theories of gravity beyond…

General Relativity and Quantum Cosmology · Physics 2020-03-04 Hector O. Silva , Kostas Glampedakis

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

We study the stability of odd-dimensional rotating black holes with equal angular momenta by performing an expansion in the inverse of the number of dimensions D. Universality at large $D$ allows us to calculate analytically the complex…

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

The gravitational modes of the Kerr geometry include both quasinormal modes and total-transmission modes. Sequences of these modes are parameterized by the angular momentum of the black hole. The quasinormal and total-transmission modes are…

General Relativity and Quantum Cosmology · Physics 2019-01-11 Gregory B. Cook , Luke S. Annichiarico , Daniel J. Vickers

The imminent detection of gravitational waves will trigger precision tests of gravity through observations of quasinormal ringing of black holes. While General Relativity predicts just two polarizations of gravitational waves, the so-called…

General Relativity and Quantum Cosmology · Physics 2011-02-02 Paul D. Lasky , Daniela D. Doneva

Recent non-modal analyses have uncovered spectral instabilities in the quasinormal-mode spectrum of black holes; a phenomenon that intriguingly extends to spherically-symmetric exotic compact objects. These results point to a sensitivity of…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Kyriakos Destounis , Mateus Malato Corrêa , Caio F. B. Macedo , Rodrigo Panosso Macedo

We study the main properties of general linear perturbations of rotating black holes in asymptotically flat higher-dimensional spacetimes. In particular, we determine the quasinormal mode (QNM) spectrum of singly spinning and equal angular…

High Energy Physics - Theory · Physics 2015-06-18 Oscar J. C. Dias , Gavin S. Hartnett , Jorge E. Santos

We prove that there are no exponentially growing modes nor modes on the real axis for the Teukolsky equation on Kerr black hole spacetimes, both in the extremal and subextremal case. We also give a quantitative refinement of mode stability.…

General Relativity and Quantum Cosmology · Physics 2020-07-31 Rita Teixeira da Costa

The quasinormal mode frequencies can be understood from the massless particles trapped at the unstable circular null geodesics and slowly leaking out to infinity. Base on this viewpoint, in this paper, we construct the quantum entropy…

General Relativity and Quantum Cosmology · Physics 2013-01-31 Shao-Wen Wei , Yu-Xiao Liu , Chun-E Fu

A finitely supertranslated Schwarzschild black hole possesses nontrivial super-Lorentz charges compared with the standard one. This may impact the quasinormal modes of the black hole. Since the Einstein's equations are generally covariant,…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Shaoqi Hou , Kai Lin , Zong-Hong Zhu

Black hole quasinormal modes are known to exhibit spectral instability under ultraviolet perturbations of the effective potential. In the present work, we investigate the sensitivity of the fundamental mode to different types of localized…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Ramin G. Daghigh , Michael D. Green , Guan-Ru Li , Jodin C. Morey , Wei-Liang Qian , Stefan J. Randow

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

We study scalar perturbations in the background of a Topological Lifshitz black hole in four dimensions. We compute analytically the quasinormal modes and from these modes we show that Topological Lifshitz black hole is stable. On the other…

General Relativity and Quantum Cosmology · Physics 2015-06-05 P. A. Gonzalez , Felipe Moncada , Yerko Vasquez

The spectrum of the quasinormal modes of the gravitational waves emitted during the ringdown phase following the merger of two black holes is of primary importance in gravitational astronomy. However, the spectrum is extremely sensitive to…

General Relativity and Quantum Cosmology · Physics 2024-07-30 A. Ianniccari , A. J. Iovino , A. Kehagias , P. Pani , G. Perna , D. Perrone , A. Riotto

Quasinormal modes and frequencies are the eigenvectors and eigenvalues of a non-Hermitian differential operator. They hold crucial significance in the physics of black holes. The analysis of quasinormal modes of black holes in…

High Energy Physics - Theory · Physics 2024-11-22 Daniel Arean , David Garcia-Fariña , Karl Landsteiner

We analyze analytically the asymptotic regions of the quasinormal mode frequency spectra with infinitely large overtone numbers for $D$-dimensional Schwarzschild black holes in anti de Sitter spacetimes. In this limit, we confirm the…

General Relativity and Quantum Cosmology · Physics 2009-06-06 Ramin G. Daghigh , Michael D. Green

A black hole immersed in a rotating Universe, described by the Gimon-Hashimoto solution, is tested on stability against scalar field perturbations. Unlike the previous studies on perturbations of this solution, which dealt only with the…

General Relativity and Quantum Cosmology · Physics 2011-09-22 R. A. Konoplya , A. Zhidenko

We consider the perturbations of the massive vector field around Schwarzschild black hole, (generally, with non-vanishing $\Lambda$ - term). The monopole massive vector perturbation equations can be reduced to a single wave-like equation.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. A. Konoplya

Black-hole spectroscopy aims to infer the fundamental properties of black holes by analysing the spectrum of gravitational waves emitted as they settle into equilibrium. These resonances, known as quasinormal modes (QNMs), decay rapidly,…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Pietro Smaniotto , Leonardo Solidoro , Patrik Švančara , Sam Patrick , Maurício Richartz , Carlo F. Barenghi , Ruth Gregory , Silke Weinfurtner

Resonant scattering of plane waves by a periodic slab under conditions close to those that support a guided mode is accompanied by sharp transmission anomalies. For two-dimensional structures, we establish sufficient conditions, involving…

Mathematical Physics · Physics 2011-11-01 Stephen P. Shipman , Hairui Tu