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In a recent series of papers we have shown how the eikonal/geometrical optics approximation can be used to calculate analytically the fundamental quasinormal mode frequencies associated with coupled systems of wave equations, which arise,…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Albert Bryant , Hector O. Silva , Kent Yagi , Kostas Glampedakis

Although the WKB series converges only asymptotically and guarantees the exact result solely in the eikonal regime, we have managed to derive concise analytical expressions for the quasinormal modes and grey-body factors of black holes,…

General Relativity and Quantum Cosmology · Physics 2023-11-22 R. A. Konoplya , A. Zhidenko

In this paper, the quasinormal modes of gravitational perturbation around some well-known regular black holes were evaluated by using the WKB approximation as well as the asymptotic iteration method. Through numerical calculation, we make a…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Chen Wu

In this paper, we undertake a comprehensive examination of quasinormal modes linked to Lee-Wick black holes, delving into scalar, electromagnetic, and gravitational perturbations using the spectral method. Such black holes can display a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Davide Batic , Denys Dutykh , Breno Loureiro Giacchini

In this paper, we have computed the logarithmic corrections of entropy for the near-extremal Kerr-Newman black holes in $\mathcal{N}=2$ supergravity theory applying the Euclidean path integral approach in the near-horizon geometry. In the…

High Energy Physics - Theory · Physics 2025-02-26 Ashes Modak , Aditya Singh , Binata Panda

Quasinormal modes are characteristic signatures of compact objects. Here we consider rotating regular black holes, representing rotating generalizations of the Simpson and Visser metric. We present the spectrum of scalar quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Fech Scen Khoo

In this letter, a matrix method is employed to study the scalar quasinormal modes of Kerr as well as Kerr-Sen black holes. Discretization is applied to transfer the scalar perturbation equation into a matrix form eigenvalue problem, where…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Kai Lin , Wei-Liang Qian , Alan B. Pavan , Elcio Abdalla

We discuss a numerical method to compute the homogeneous solutions of the Teukolsky equation which is the basic equation of the black hole perturbation method. We use the formalism developed by Mano, Suzuki and Takasugi, in which the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ryuichi Fujita , Hideyuki Tagoshi

Analytic solutions of the Teukolsky equation in Kerr geometries are presented in the form of series of hypergeometric functions and Coulomb wave functions. Relations between these solutions are established. The solutions provide a very…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Shuhei Mano , Hisao Suzuki , Eiichi Takasugi

We uncover hidden spectral symmetries of the Teukolsky equation in Kerr(-de Sitter) black holes, recently conjectured by Aminov, Grassi and Hatsuda (arXiv: 2006.06111 and arXiv: 2007.07906, 2020) in the zero cosmological constant case.…

General Relativity and Quantum Cosmology · Physics 2023-05-01 Marc Casals , Rita Teixeira da Costa

The Teukolsky equation has long been known to lead to divergent integrals when it is used to calculate the gravitational radiation emitted when a test mass falls into a black hole from infinity. Two methods have been used in the past to…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Eric Poisson

In this work, we study the black hole light echoes in terms of the two-photon autocorrelation and explore their connection with the quasinormal modes. It is shown that the above time-domain phenomenon can be analyzed by utilizing the…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Wei-Liang Qian , Kai Lin , Xiao-Mei Kuang , Bin Wang , Rui-Hong Yue

This study provides an analytic and numerical characterization of a class of regular, asymptotically flat black holes described by a deformed static spherical metric. The model is grounded in a four-dimensional non-polynomial…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Zainab Malik

We compute one-loop corrections to the euclidean gravitational path integral of near-extremal (anti-)de Sitter-Kerr black hole in terms of the connection coefficients of the Heun equation describing the black hole linear perturbations in…

High Energy Physics - Theory · Physics 2025-06-11 Paolo Arnaudo , Giulio Bonelli , Alessandro Tanzini

We study the spectrum of tensor perturbations on extremal BTZ black holes in topologically massive gravity for arbitrary values of the coefficient of the Chern-Simons term, $\mu$. Imposing proper boundary conditions at the boundary of the…

High Energy Physics - Theory · Physics 2014-11-21 Hamid R. Afshar , Mohsen Alishahiha , Amir E. Mosaffa

We calculate quasinormal modes of scalar and neutrino perturbations around the charged black hole in Asymptotically Safe Gravity. We show that the charge and coupling constant change the quasinormal spectrum considerably. We show that…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Alexey Dubinsky

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

We prove that, for any continuous path of Kerr-adS black hole parameters crossing the Hawking-Reall threshold, for all azimuthal number $|m|$ sufficiently large, there exists black hole parameters on the path such that the Teukolsky…

Analysis of PDEs · Mathematics 2025-06-24 Olivier Graf

We calculate the spectrum of quasinormal modes of slowly rotating Kerr-Newman black holes. Using a perturbative double expansion method, second order in rotation and first order in non-radial perturbations, we obtain the system of equations…

General Relativity and Quantum Cosmology · Physics 2023-04-20 Jose Luis Blázquez-Salcedo , Fech Scen Khoo

We study the quasi-normal modes for scalar, electromagnetic, and gravitational axial perturbations in the Hayward regular black hole surrounded by quintessence (HBH-$\omega_q$). Using the third--order WKB approximation we can determine the…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Omar Pedraza , L. A. López , R. Arceo , I. Cabrera-Munguia
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