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It is well established that the response of a black hole to a generic perturbation is characterized by a spectrum of damped resonances, called quasinormal modes; and that, in the limit of large angular momentum ($l \gg 1$), the quasinormal…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Sam R. Dolan

In this paper we investigate gravitational perturbations of a regular black hole, particularly Bardeen solution. Such system is solution of Einstein equations that do not have a singularity at the origin of the radial symmetry. However it…

General Relativity and Quantum Cosmology · Physics 2014-07-17 S. C. Ulhoa

Quasinormal modes for bosonic (scalar, electromagnetic, and axial gravitational) and fermionic field perturbations, radiated from black holes that carry quantum gravitational corrections at third order in the curvature to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-01-09 R. Casadio , C. Noberto Souza , R. da Rocha

String theory is a promising candidate for a fundamental quantum theory of all interactions including Einstein gravity. Some solutions in string theory can be interpreted as black holes. Using the semi-analytic method and WKB method,the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Xin-zhou Li , Jian-gang Hao , Dao-jun Liu

The rotating loop quantum gravity black hole is a newly proposed non-singular black hole, which eliminates spacetime singularities when a regularization parameter is introduced through loop quantum corrections. This parameter is expected to…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Zhong-Wu Xia , Hao Yang , Yan-Gang Miao

We employ a recently developed spectral method to obtain the spectrum of quasinormal modes of rapidly rotating black holes in alternative theories of gravity and apply it to the black holes of shift-symmetric Einstein-scalar-Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Fech Scen Khoo , Jose Luis Blázquez-Salcedo , Burkhard Kleihaus , Jutta Kunz

In this paper, we investigate quasinormal modes (QNMs) and greybody factors within the framework of Symmergent gravity, an emergent gravity model with an $R + R^2$ curvature sector. Building on our previous work on static…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Dhruba Jyoti Gogoi , Beyhan Puliçe , Ali Övgün

Black hole (BH) spectroscopy has emerged as a powerful approach to extract spacetime information from gravitational wave (GW) observed signals. Yet, quasinormal mode (QNM) spectral instability under high wave-number perturbations has been…

General Relativity and Quantum Cosmology · Physics 2022-06-08 José Luis Jaramillo , Rodrigo Panosso Macedo , Lamis Al Sheikh

The resonant mode spectrum of the Kerr-Newman spacetime is presently unknown. These modes, called the quasinormal modes, play a central role in determining the stability of Kerr-Newman black holes and their response to perturbations. We…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Zachary Mark , Huan Yang , Aaron Zimmerman , Yanbei Chen

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

We study the gravito-electromagnetic perturbations of the Kerr-Newman (KN) black hole metric and identify the two $-$ photon sphere and near-horizon $-$ families of quasinormal modes (QNMs) of the KN black hole, computing the frequency…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Oscar J. C. Dias , Mahdi Godazgar , Jorge E. Santos , Gregorio Carullo , Walter Del Pozzo , Danny Laghi

We compute the exact gravitational quasinormal frequencies for massless topological black holes in d-dimensional anti-de Sitter space. Using the gauge invariant formalism for gravitational perturbations derived by Kodama and Ishibashi, we…

High Energy Physics - Theory · Physics 2008-11-26 Danny Birmingham , Susan Mokhtari

We study the stability of quasinormal modes (QNM) in asymptotically flat black hole spacetimes by means of a pseudospectrum analysis. The construction of the Schwarzschild QNM pseudospectrum reveals the following: (i) the stability of the…

General Relativity and Quantum Cosmology · Physics 2021-09-15 José Luis Jaramillo , Rodrigo Panosso Macedo , Lamis Al Sheikh

We consider a wave equation with a potential on the half-line as a model problem for wave propagation close to an extremal horizon, or the asymptotically flat end of a black hole spacetime. We propose a definition of quasinormal frequencies…

Analysis of PDEs · Mathematics 2021-10-15 Dejan Gajic , Claude Warnick

The perturbations of the Kerr metric and the miracle of their exact solutions play a critical role in the comparison of predictions of general relativity with astrophysical observations of compact massive objects. The differential equations…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Denitsa Staicova , Plamen Fiziev

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 in detail the quasinormal modes of linear gravitational perturbations of plane-symmetric anti-de Sitter black holes. The wave equations are obtained by means of the Newman-Penrose formalism and the Chandrasekhar transformation…

General Relativity and Quantum Cosmology · Physics 2016-03-25 Alex S. Miranda , Vilson T. Zanchin

We study gravitational and test-field perturbations for the two possible families of spherically symmetric black-hole mimickers that smoothly interpolate between regular black holes and horizonless compact objects accordingly to the value…

General Relativity and Quantum Cosmology · Physics 2024-03-08 Edgardo Franzin , Stefano Liberati , Vania Vellucci

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

We discuss a systematic method of analytically calculating the asymptotic form of quasi-normal frequencies of a four-dimensional Schwarzschild black hole by expanding around the zeroth-order approximation to the wave equation proposed by…

High Energy Physics - Theory · Physics 2009-11-10 Suphot Musiri , George Siopsis
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