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We study perturbations of Schwarzschild-de Sitter black holes in semi-open systems by using the Heun functions. For the semi-open system, a partially reflective wall is added around the event horizon. Three aspects of this model are…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Liang-Bi Wu , Libo Xie , Li-Ming Cao , Ming-Fei Ji , Yu-Sen Zhou

Computing many eigenpairs of the Schr{\"o}dinger operator presents a computational bottleneck in large-scale quantum simulations due to the global communication overhead of explicit orthogonalization. To address this issue, we propose a…

Numerical Analysis · Mathematics 2026-05-26 Shengyue Wang , Aihui Zhou

We investigate the scalar field equation in a (2+1)-dimensional charged BTZ black hole. The quasinormal spectra of the solution are obtained applying two different methods and good convergence between both is achieved. Using the…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Rodrigo Dal Bosco Fontana

One of the central goals of the newborn field of gravitational wave astronomy is to test gravity in the highly nonlinear, strong field regime characterizing the spacetime of black holes. In particular, "black hole spectroscopy" (the…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Kostas Glampedakis , George Pappas , Hector O. Silva , Emanuele Berti

We give a new fast method for evaluating sprectral approximations of nonlinear polynomial functionals. We prove that the new algorithm is convergent if the functions considered are smooth enough, under a general assumption on the spectral…

Numerical Analysis · Mathematics 2012-07-17 Erwan Faou , Fabio Nobile , Christophe Vuillot

In this paper we investigate quasinormal modes (QNM) for a scalar field around a noncommutative Schwarzschild black hole. We verify the effect of noncommutativity on quasinormal frequencies by applying two procedures widely used in the…

High Energy Physics - Theory · Physics 2022-05-16 J. A. V. Campos , M. A. Anacleto , F. A. Brito , E. Passos

We calculate analytically the asymptotic form of quasi-normal modes of perturbations of arbitrary spin of a Schwarzschild black hole including first-order corrections. We use the Teukolsky equation which applies to both bosonic and…

High Energy Physics - Theory · Physics 2009-11-11 Suphot Musiri , George Siopsis

We study the propagation of scalar fields in the background of an asymptotically de-Sitter black hole solution in $f(R)$ gravity. The aim of this work is to analyze in modified theories of gravity the existence of an anomalous decay rate of…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Almendra Aragón , P. A. González , Eleftherios Papantonopoulos , Yerko Vásquez

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 fundamental quasinormal modes of black holes in higher-derivative gravity given by the Einstein-Weyl action are known to be moderately corrected by the Weyl term. Here we will show that the first several overtones are highly sensitive…

General Relativity and Quantum Cosmology · Physics 2023-04-14 R. A. Konoplya

The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Shigefumi Naka , Haruki Toyoda

Quasinormal modes are excited during the ringdown phase of black holes after merger. Determination of quasinormal modes of rapidly rotating black holes in alternative theories of gravity has remained a challenge for a long time. Here we…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Burkhard Kleihaus , Jutta Kunz

We study the quasi-normal modes of the charged scalar perturbations in the background of the Einstein-Maxwell-aether black hole through three methods (WKB method, continued fraction method, generalized eigenvalue method). Then we propose…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Wei Xiong , Peng Liu , Cheng-Yong Zhang , Chao Niu

Two numerical methods are used to calculate quasinormal modes (QNMs) of near-extremal black holes/strings in the generalized spherically/cylindrically symmetric background, the Asymptotic Iteration Method (AIM) and the Spectral Method. The…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Taum Wuthicharn , Supakchai Ponglertsakul , Piyabut Burikham

Spectral measures arise in numerous applications such as quantum mechanics, signal processing, resonances, and fluid stability. Similarly, spectral decompositions (pure point, absolutely continuous and singular continuous) often…

Spectral Theory · Mathematics 2021-03-02 Matthew John Colbrook

The work reported in this article presents a high-order, stable, and efficient Gegenbauer pseudospectral method to solve numerically a wide variety of mathematical models. The proposed numerical scheme exploits the stability and the…

Numerical Analysis · Mathematics 2023-03-06 Kareem T. Elgindy

We study the spectrum of the bound state perturbations in the interior of the Schwarzschild black hole for the scalar, electromagnetic and gravitational perturbations. Demanding that the perturbations to be regular at the center of the…

General Relativity and Quantum Cosmology · Physics 2018-05-31 Hassan Firouzjahi

We develop a new method for calculation of quasi-normal modes of black holes, when the effective potential, which governs black hole perturbations, is known only numerically in some region near the black hole. This method can be applied to…

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

In this paper, we investigate quasinormal modes of scalar and electromagnetic fields in the background of Einstein--scalar--Gauss--Bonnet (EsGB) black holes. Using the scalar and electromagnetic field equations in the vicinity of the EsGB…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Prosenjit Paul

We study gravitational perturbations of the Bonanno--Reuter quantum-corrected black hole arising in the asymptotic safety scenario, focusing on QNMs and grey-body factors. Assuming the RG parameter $\tilde{\omega}$ is fixed to its…

General Relativity and Quantum Cosmology · Physics 2025-07-11 S. V. Bolokhov , Milena Skvortsova