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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 give the connection formulae for ordinary differential equations with 5 and 6 (and in principle can be generalized to more) regular singularities from the data of instanton partition functions of quiver gauge theories. We check the…

High Energy Physics - Theory · Physics 2025-06-09 Pujun Liu , Rui-Dong Zhu

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

Since the Bekenstein's proposal that a black hole has equally spaced area spectrum, the quasinormal modes as the characteristic modes of a black hole have been used in obtaining the horizon area spectrum of the black hole. However, the area…

High Energy Physics - Theory · Physics 2010-06-25 Yongjoon Kwon , Soonkeon Nam

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

We explore the relationship between classical quasinormal mode frequencies and black hole quantum mechanics in 2+1 dimensions. Following a suggestion of Hod, we identify the real part of the quasinormal frequencies with the fundamental…

High Energy Physics - Theory · Physics 2009-11-10 Danny Birmingham , Steven Carlip , Yujun Chen

We present a new framework for characterizing quasinormal modes (QNMs) or resonant states for the wave equation on asymptotically flat spacetimes, applied to the setting of extremal Reissner-Nordstr\"om black holes. We show that QNMs can be…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Dejan Gajic , Claude Warnick

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

We propose a simple and efficient way to compute quasinormal frequencies of spherically symmetric black holes. We revisit an old idea that relates them to bound state energies of anharmonic oscillators by an analytic continuation. This…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Yasuyuki Hatsuda

We present a detailed investigation of quasinormal modes (QNMs) for noncommutative geometry-inspired wormholes, focusing on scalar, electromagnetic, and vector-type gravitational perturbations. By employing the spectral method, the…

General Relativity and Quantum Cosmology · Physics 2025-04-04 Davide Batic , Denys Dutykh , Joudy Jamal Beek

Black hole quasinormal frequencies are complex numbers that encode information on how a black hole relaxes after it has been perturbed and depend on the features of the geometry and on the type of perturbations. On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Antonino Flachi , José P. S. Lemos

We investigate quasinormal modes (QNMs) of scalar, electromagnetic, and axial gravitational perturbations in slowly rotating Kalb-Ramond (KR) black holes, where an antisymmetric tensor field induces spontaneous Lorentz symmetry breaking.…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Weike Deng , Wentao Liu , Kui Xiao , Jiliang Jing

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

Using the quasi-normal modes frequency of extremal Reissner-Nordstr\"om black holes, we obtain area spectrum for these type of black holes. We show that the area and entropy black hole horizon are equally spaced. Our results for the spacing…

High Energy Physics - Theory · Physics 2009-11-10 M. R. Setare

The low-laying frequencies of characteristic quasi-normal modes (QNM) of Schwarzschild-de Sitter (SdS) black holes have been calculated for fields of different spin using the 6th-order WKB approximation and the approximation by the…

General Relativity and Quantum Cosmology · Physics 2020-03-09 A. Zhidenko

From a five-dimensional Einstein-Maxwell theory, Bah et al. constructed a singularity free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)]. After the Klein-Kluza reduction, i.e., integrating the extra space dimension, it can…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Wen-Di Guo , Qin Tan

The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild black hole is investigated by using continued fraction and Hill-determinant approaches. It is shown that the fundamental quasinormal…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jiliang Jing

Quasinormal modes (QNMs) uniquely describe the dominant piece of the gravitational-wave ringdown of postmerger black holes. While the linear QNM regime has been extensively studied, recent work has highlighted the importance of…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Béatrice Bonga , Adam Pound

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