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The aim of this paper is to present a general way to calculate quasi-normal modes (QNM) of the Teukolsky equation for higher dimensional (d > 4) Kerr spacetime with compactified extra dimensions. In order to do so, we develop a formalism…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Mattia Villani

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

We show that the linear perturbations of any spin field in the near-zone limit of the Kerr black hole are identical to those of an AdS$_2$ black hole which enjoys the same basic properties of the Kerr black hole. Thanks to this…

High Energy Physics - Theory · Physics 2023-02-01 Alex Kehagias , Davide Perrone , Antonio Riotto

We study analytically the fundamental resonances of near-extremal, slowly rotating Kerr-Newman black holes. We find a simple analytic expression for these black-hole quasinormal frequencies in terms of the black-hole physical parameters:…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Shahar Hod

We develop an analytical ringdown waveform model, including both the fundamental and the overtone quasinormal modes, for charged black holes and show that it is precise enough to analyze current gravitational wave data. Applying this…

General Relativity and Quantum Cosmology · Physics 2021-12-03 Hai-Tian Wang , Shao-Peng Tang , Peng-Cheng Li , Yi-Zhong Fan

There is a well-known, intuitive geometric correspondence between high-frequency QNMs of Schwarzschild black holes and null geodesics that reside on the light-ring : the real part of the mode's frequency relates to the geodesic's orbital…

General Relativity and Quantum Cosmology · Physics 2012-12-19 Huan Yang , David A. Nichols , Fan Zhang , Aaron Zimmerman , Zhongyang Zhang , Yanbei Chen

The quasinormal modes (QNMs) of a regular black hole with charge are calculated in the eikonal approximation. In the eikonal limit the QNMs of black hole are determined by the parameters of the unstable circular null geodesics. The…

General Relativity and Quantum Cosmology · Physics 2020-08-20 L. A. Lopez , Valeria Hinojosa

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

Stability criteria of nearly extreme black holes in the perturbations level is one of the interesting issues in gravitational systems. Considering the nearly extreme conformal-de Sitter black holes, in this paper, we obtain an exact…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Mehrab Momennia , Seyed Hossein Hendi

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

The idea that quantum gravity effects might leak outside the horizon of a black hole has recently been intensively considered. In this study, we calculate the quasinormal modes as a function of the location and amplitude of a generic metric…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Aurélien Barrau , Killian Martineau , Jeremy Martinon , Flora Moulin

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

The final stage of a binary black hole merger is ringdown, in which the system is described by a Kerr black hole with quasinormal mode perturbations. It is far from straightforward to identify the time at which the ringdown begins. Yet…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Swetha Bhagwat , Maria Okounkova , Stefan W. Ballmer , Duncan A. Brown , Matthew Giesler , Mark A. Scheel , Saul A. Teukolsky

We analyze the quasinormal mode spectrum for Kerr black holes surrounded by an asymptotically uniform magnetic field, modeled with the Ernst-Wild geometry. A perturbative expansion in both the rotation parameter $a$ and the magnetic field…

General Relativity and Quantum Cosmology · Physics 2025-11-24 Kate J. Taylor , Adam Ritz

The uniqueness and rigidity theorems assert that the asymptotically flat, vacuum, stationary rotating black hole solution in general relativity must be the Kerr solution, exhibiting novel symmetries such as axisymmetry and circularity. In…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Rajes Ghosh , Akash K Mishra , Sudipta Sarkar

We provide an exhaustive and illustrated classification of timelike and null geodesics in the near-horizon region of near-extremal Kerr black holes. The classification of polar motion extends to Kerr black holes of arbitrary spin. The…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Geoffrey Compère , Adrien Druart

The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Aaron Zimmerman , Huan Yang , Zachary Mark , Yanbei Chen , Luis Lehner

We numerically investigate the imprints of gravitational radiation-reaction driven changes to a black hole's mass and spin on the corresponding ringdown waveform. We do so by comparing the dynamics of a perturbed black hole evolved with the…

The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yanqiang Liu , Benrong Mu , Jun Tao , Yuling Weng

We study the gravitational waveforms generated by critical, equatorial plunging geodesics of the Kerr metric that start from an unstable-circular-orbit, which describe the test-mass limit of spin-aligned eccentric black-hole mergers. The…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Guglielmo Faggioli , Maarten van de Meent , Alessandra Buonanno , Gaurav Khanna
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