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The exactness of the semiclassical method for three-dimensional problems in quantum mechanics is analyzed. The wave equation appropriate in the quasiclassical region is derived. It is shown that application of the standard leading-order WKB…

Quantum Physics · Physics 2012-07-02 M. N. Sergeenko

We apply exact WKB analysis to the spectral problem arising in black hole perturbation theory. The boundary conditions for quasinormal modes lead to exact quantization conditions for the complex frequencies. To solve these conditions, one…

High Energy Physics - Theory · Physics 2026-05-05 Yasuyuki Hatsuda , Tomohito Shiga

We demonstrate how the Exact WKB analysis works in the study of the quasi-normal modes (QNMs). We apply the Exact WKB analysis to a massless scalar perturbation to the D3-brane metric as a concrete example. The Exact WKB analysis provides…

High Energy Physics - Theory · Physics 2022-09-29 Keita Imaizumi

We study quasinormal modes of scalar, electromagnetic, and Dirac perturbations of four-dimensional regular black holes arising in non-polynomial quasi-topological gravity. Starting from a more general class of metric functions constructed…

General Relativity and Quantum Cosmology · Physics 2026-03-04 R. A. Konoplya

We study quasinormal modes and time-domain profiles of a massive scalar field in the background of black holes arising in Einstein--Gauss--Bonnet--Proca gravity. The black holes in this theory possess \emph{primary Proca hair}, which…

General Relativity and Quantum Cosmology · Physics 2025-10-01 B. C. Lütfüoğlu

In this work, we implement the semi-analytical WKB method to explore the behaviour of a scalar field on a traversable wormhole space--time with a Casimir--like complexity reported in Eur. Phys. J. C 82, 420 (2022). We estimate the error in…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Roberto Avalos , Ernesto Contreras

We extend topological string methods in order to perform WKB approximations for quantum mechanical problems with higher order potentials efficiently. This requires techniques for the evaluation of the relevant quantum periods for Riemann…

High Energy Physics - Theory · Physics 2019-01-29 Fabian Fischbach , Albrecht Klemm , Christoph Nega

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

Higher-order WKB methods are used to investigate the border between the solvable and insolvable portions of the spectrum of quasi-exactly solvable quantum-mechanical potentials. The analysis reveals scaling and factorization properties that…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Bender , G. Dunne , M. Moshe

We investigate massive scalar perturbations and several characteristics of particle motion in the spacetime of regular black holes arising in four-dimensional quasi-topological gravity. Quasinormal modes are computed using high-order WKB…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Bekir Can Lütfüoğlu

We study the asymptotic behavior of parametrized black hole quasinormal modes (QNMs) in the high-overtone limit. To gain insights into their analytical structure, we apply the exact WKB method, which was recently developed by the same…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Taiga Miyachi , Ryo Namba , Hidetoshi Omiya , Naritaka Oshita

In this work, we investigate the quasinormal frequencies of a class of regular black hole solutions which generalize Bardeen and Hayward spacetimes. In particular, we analyze scalar, vector and gravitational perturbations of the black hole…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Ángel Rincón , Victor Santos

We investigate the quasi-normal modes (QNMs) under the gravitational field perturbations and the grey-body factors for a class of regular black holes with sub-Planckian curvature and Minkowski core. Specifically, we compute the QNMs with…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Chen Tang , Yi Ling , Qing-Quan Jiang

We obtain an analytical expression for the electromagnetic quasinormal spectrum of the higher-dimensional nearly-extremal Schwarzschild-de Sitter black hole. The WKB method is used to verify the results, and a comparison with known results…

General Relativity and Quantum Cosmology · Physics 2018-08-27 Grigoris Panotopoulos

In this paper, we categorize non-rotating black hole spacetimes based on their pole structure and in each of these categories we determine whether the WKB approximation is a valid approximation for calculating the asymptotic quasinormal…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Ramin G. Daghigh , Michael D. Green

Quasinormal modes describe the ringdown of compact objects deformed by small perturbations. In generic theories of gravity that extend General Relativity, the linearized dynamics of these perturbations is described by a system of coupled…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Lam Hui , Alessandro Podo , Luca Santoni , Enrico Trincherini

Motivated by the substantial instability of the fundamental and high-overtone quasinormal modes, recent developments regarding the notion of black hole pseudospectrum call for numerical results with unprecedented precision. This work…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Kai Lin , Wei-Liang Qian

We present a comprehensive study of the quasinormal modes of a new class of nonlocal static and spherically symmetric black hole (BH) solutions within the framework of the revised Deser-Woodard theory of gravity. These solutions are…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Rocco D'Agostino , Vittorio De Falco

After a brief introduction to quasinormal modes in dissipative systems, we review the WKB formalism in the context of the analytical calculation of quasinormal frequencies. We apply these results to the calculation of quasinormal…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Filipe Moura , João Rodrigues

We study characteristic (quasinormal) modes of a $D$-dimensional Schwarzshild black hole. It proves out that the real parts of the complex quasinormal modes, representing the real oscillation frequencies, are proportional to the product of…

General Relativity and Quantum Cosmology · Physics 2018-04-04 R. A. Konoplya