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We investigate perturbative quasinormal-mode (QNM) shifts of black holes arising from fractional, nonlocal modifications to the wave operator. Starting from a scalar master equation corrected by a small fractional Laplacian term…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Anisur Rahaman

We investigate metric perturbations of a spherically symmetric black hole in higher curvature gravity. We show that higher curvature corrections deform the near-horizon region of the effective potential, and that the deviations of the…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Keisuke Nakashi , Masashi Kimura , Hayato Motohashi , Kazufumi Takahashi

This paper aims to explore the quasinormal modes (QNMs) and effective potential profiles of massless and rotating BTZ black holes within the frameworks of $f(\mathcal{R})$ and Ricci-Inverse ($\mathcal{RI}$) modified gravity theories, which,…

General Relativity and Quantum Cosmology · Physics 2025-04-11 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı , Abdelmalek Bouzenadad

The Newman-Penrose formalism is used to deal with the massless scalar, neutrino, electromagnetic, gravitino and gravitational quasinormal modes (QNMs) in Schwarzschild black holes in a united form. The quasinormal mode frequencies evaluated…

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

The Newman-Penrose formalism is used to deal with the quasinormal modes(QNM's) of Rarita-Schwinger perturbations outside a Reissner-Nordstr\"{o}m black hole. We obtain four kinds of possible expressions of effective potentials, which are…

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

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

The ring-down phase of black-hole perturbations is governed by the Quasi-Normal modes (QNM) and offer valuable insight into the nature of the objects emitting them. In General relativity, we identify a dimensionless parameter that can…

General Relativity and Quantum Cosmology · Physics 2018-09-18 Soham Bhattacharyya , S. Shankaranarayanan

Black hole perturbation theory is a useful approach to study interactions between black holes and fundamental fields. A particular class of black hole solutions arising out of modification of Einstein's general theory of relativity are…

High Energy Physics - Theory · Physics 2021-10-25 Davood Mahdavian Yekta , Majid Karimabadi , S. A. Alavi

We discuss new recurrence-based methods for calculating the complex frequencies of the quasinormal modes of black holes. These methods are based on the Frobenius series solutions of the differential equation describing the linearized radial…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Kristian Benda , Jerzy Matyjasek

According to a recent proposal, the so-called Barbero-Immirzi parameter of Loop Quantum Gravity can be fixed, using Bohr's correspondence principle, from a knowledge of highly-damped black hole oscillation frequencies. Such frequencies are…

High Energy Physics - Theory · Physics 2009-11-10 Emanuele Berti , Kostas D. Kokkotas

We study the quasinormal modes (QNM) for scalar, and electromagnetic perturbations in the Schwarzschild black hole with a deficit solid angle and quintessence-like matter. Using the sixth--order WKB approximation and the improved asymptotic…

General Relativity and Quantum Cosmology · Physics 2024-06-17 L. A. López , Omar Pedraza , Roberto Arceo , V. Ceron

In this paper, we present a detailed study of axial gravitational perturbations of the regular black hole solution in asymptotically safe gravity, as proposed in \cite{Bonanno:2023rzk}. We analyze the quasinormal mode (QNM) spectrum of this…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Qi-Long Shi , Rui Wang , Wei Xiong , Peng-Cheng Li

In this paper, we study the quasi-normal modes (QNMs) of a scalar field in the background of a large class of quantum black holes that can be formed from gravitational collapse of a dust fluid in the framework of effective loop quantum…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Chao Zhang , Anzhong Wang

Motivated by recent suggestions that highly damped black hole quasinormal modes (QNM's) may provide a link between classical general relativity and quantum gravity, we present an extensive computation of highly damped QNM's of Kerr black…

High Energy Physics - Theory · Physics 2009-11-10 Emanuele Berti , Vitor Cardoso , Kostas D. Kokkotas , Hisashi Onozawa

We compute the quasinormal frequencies of rotating black holes using the continued fraction method first proposed by Leaver. The main difference with former works, is that our results are obtained by a new numerical technique which avoids…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Giammatteo

In this work, we use a parametrized theory-agnostic approach that connects the observation of black hole quasi-normal modes with the underlying perturbation equations, with the goal of reconstructing the potential and the coupling functions…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Sebastian H. Völkel , Nicola Franchini , Enrico Barausse

We study black-hole quasinormal modes by applying the complex scaling method (CSM) to the perturbation equations of Schwarzschild and Reissner--Nordstr\"om black holes. The method converts the outgoing-wave boundary condition into a…

High Energy Physics - Theory · Physics 2026-04-28 Shoya Ogawa , Takuya Hirose , Okuto Morikawa

The rapid advancement of gravitational wave astronomy in recent years has paved the way for the burgeoning development of black hole spectroscopy, which enhances the possibility of testing black holes by their quasinormal modes (QNMs). In…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Che-Yu Chen , Yu-Hsien Kung , Pisin Chen

We study the quasinormal modes (QNMs) of charged scalar in the static spherically symmetric black hole background near the event and cosmological horizon. Starting with numerical analysis of the QNMs of black hole in the dRGT massive…

High Energy Physics - Theory · Physics 2019-04-10 Takol Tangphati , Supakchai Ponglertsakul , Piyabut Burikham

We present a new method for determining the frequencies and wavefunctions of black hole quasinormal modes (QNMs) and Regge poles. The key idea is a novel ansatz for the wavefunction, which relates the high-$l$ wavefunctions to null…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Sam R. Dolan , Adrian C. Ottewill