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Quasinormal modes in the high frequency (eikonal) regime can be obtained analytically as the Mashhoon-Will-Schiutz WKB formula is exact in this case. This regime is interesting because of the correspondence between eikonal quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2019-09-04 M. S. Churilova

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

The quasinormal modes of black holes (BHs) in the large-angular-momentum limit can be computed within the eikonal approximation. This approximation is often extrapolated to low angular momentum to obtain a rough estimate of the dominant…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Paolo Pani , Andrea P. Sanna

Recently massless test scalar field perturbations of the holonomy corrected black holes [Z. Moreira et. al. Phys. Rev. D 107 (2023) 10, 104016] were studied in order to estimate quantum corrections to the quasinormal spectrum of a black…

General Relativity and Quantum Cosmology · Physics 2024-10-15 S. V. Bolokhov

We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 +1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions. Thus, the…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Sharmanthie Fernando , P. A. González , Yerko Vásquez

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 chapter, we review the eikonal technique to analytically derive approximate quasi-normal mode frequencies of black holes. We first review the procedure in General Relativity and extend it to theories beyond General Relativity. As an…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Kent Yagi

We study massive scalar quasinormal spectra of charged Einstein--Maxwell--dilaton black holes by combining high-order WKB--Pad\'e calculations with time-domain evolution. The two approaches show close agreement in the regime where both…

General Relativity and Quantum Cosmology · Physics 2026-04-15 S. V. Bolokhov

Recently, two models of quantum-corrected Schwarzschild-like black holes were developed within Effective Quantum Gravity, and the spectra of bosonic perturbations have been analyzed in several recent studies. In this work, we investigate…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Zainab Malik

We present a concise review of known analytic results for quasinormal modes of black holes and related spacetimes. Our emphasis is on those regimes where the perturbation equations admit exact or perturbative solutions, providing insights…

General Relativity and Quantum Cosmology · Physics 2025-04-08 S. V. Bolokhov , Milena Skvortsova

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

In this paper we investigate how a regular scale-dependent black hole, characterized by a single extra parameter $\epsilon$, behaves under perturbations by a test field (quasi-normal modes) and under light imaging (shadows) in a…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Benjamin Koch , Gonzalo J. Olmo , Ali Riahinia , Ángel Rincón , Diego Rubiera-Garcia

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 investigate black hole quasinormal modes using the exact WKB method. We perform an analytic continuation from the horizon to infinity along the positive real axis of the radial coordinate and impose appropriate boundary conditions at…

High Energy Physics - Theory · Physics 2025-07-10 Taiga Miyachi , Ryo Namba , Hidetoshi Omiya , Naritaka Oshita

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

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

We develop an analytic eikonal description of perturbations for four-dimensional regular black holes in quasi-topological gravity. Using first-order Schutz--Will WKB together with a small-coupling expansion and a large-$\ell$ expansion, we…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Alexey Dubinsky

Both scalar and Dirac quasinormal modes in Garfinkle-Horowitz-Strominger black hole spacetime are studied by using the WKB approximation and the P\"{o}schl-Teller approximation. For scalar field, we find that the QNMs with higher dilatons…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Fu-Wen Shu , You-Gen Shen

We study the quasinormal mode spectrum and grey-body factors of black holes in an effectively quantum-corrected spacetime, focusing on the influence of near-horizon modifications on observable quantities. Employing scalar, electromagnetic,…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Bekir Can Lütfüoğlu , Erdinç Ulaş Saka , Abubakir Shermatov , Javlon Rayimbaev , Inomjon Ibragimov , Sokhibjan Muminov

In this paper we study the fermion quasi-normal modes of a 4-dimensional rotating black-hole using the WKB(J) (to third and sixth order) and the AIM semi-analytic methods in the massless Dirac fermion sector. These semi-analytic…

General Relativity and Quantum Cosmology · Physics 2012-01-30 W. A. Carlson , A. S. Cornell , B. Jordan
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