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We study the asymptotic quasi-normal modes for the scalar perturbation of the non-commutative geometry inspired Schwarzschild black hole in (3+1) dimensions. We have considered $M\geq M_0$, which effectively correspond to a single horizon…

High Energy Physics - Theory · Physics 2008-11-26 Pulak Ranjan Giri

We investigate the excitation of quasi-normal modes (QNMs) in gravitational lensing by a Schwarzschild black hole using a scalar field model. By employing a time-domain mode-sum method, we analyze the complex interplay between an incident…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Chengjiang Yin , Zihao Lin , Jian-hua He

From black hole perturbation theory, quasi-normal modes (QNMs) in spherically symmetric AdS black hole spacetimes are usually studied with the Horowitz and Hubeny methods [1] by imposing the Dirichlet or vanishing energy flux boundary…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Chun-Hung Chen , Hing-Tong Cho , Alan S. Cornell

We elaborate on a criterion for the emergence of instability in the fundamental mode recently observed by Cheung {\it et al.}, as a universal phenomenon in the context of black hole perturbations. Such instability is characterized by an…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Wei-Liang Qian , Guan-Ru Li , Ramin G. Daghigh , Stefan Randow , Rui-Hong Yue

We investigate the perturbation of the scalar field as well as the electromagnetic field over a sort of regular black holes which are characterized by the sub-Planckian curvature and the Minkowskian core. Specifically, we compute the…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Chen Tang , Yi Ling , Qing-Quan Jiang , Guo-Ping Li

In this work, we investigate the relation between bound states and quasinormal modes within black hole perturbation theory in the context of spectral instability. Our analysis indicates that the reliability of such spectral mapping…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Guan-Ru Li , Wei-Liang Qian , Xiao-Mei Kuang , Ramin G. Daghigh , Jodin C. Morey , Michael D. Green , Peng Xu , Rui-Hong Yue

We study the scalar perturbation in the background of the charged Kaluza-Klein black holes with squashed horizons. We find that the position of infinite discontinuities of the heat capacities can be reflected in quasinormal spectrum. This…

High Energy Physics - Theory · Physics 2008-11-26 Xi He , Songbai-Chen , Bin Wang , Rong-Gen Cai , Chi-Yong Lin

Quasinormal modes have played a prominent role in the discussion of perturbations of black holes, and the question arises whether they are as significant as normal modes are for self adjoint systems, such as harmonic oscillators. They can…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Hans-Peter Nollert

We show that quasinormal modes cannot exist in the extremal BTZ black hole. For this purpose, we consider propagations of a minimally coupled scalar and a single massive graviton obtained from the cosmological topologically massive gravity…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

Recent studies have shown that far-field perturbations to the curvature potential of a black hole spacetime may destabilize its quasinormal mode (QNM) spectrum while only mildly affecting time-domain ringdown signals. In this work, we study…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Andrew Laeuger , Colin Weller , Dongjun Li , Yanbei Chen

We study the quasinormal modes of massless charged fermions in a Reissner-Nordstrom-anti-de Sitter black hole spacetime. In the probe limit, we find that the imaginary part of quasinormal frequency will become positive when the temperature…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Rong-Gen Cai , Zhang-Yu Nie , Bin Wang , Hai-Qing Zhang

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

It is shown that the quasi-normal modes arise, in a natural way, when considering the oscillations in unbounded regions by imposing the radiation condition at spatial infinity with a complex wave vector $k$. Hence quasi-normal modes are not…

High Energy Physics - Theory · Physics 2007-05-23 V. V. Nesterenko , A. Feoli , G. Lambiase , G. Scarpetta

The final ringdown phase in a coalescence process is a valuable laboratory to test General Relativity and potentially constrain additional degrees of freedom in the gravitational sector. We introduce here an effective description for…

High Energy Physics - Theory · Physics 2019-03-27 Gabriele Franciolini , Lam Hui , Riccardo Penco , Luca Santoni , Enrico Trincherini

We apply the complex scaling method to black-hole perturbations in four-dimensional Schwarzschild--de~Sitter (dS) spacetimes. The method converts the outgoing-wave boundary-value problem into a non-Hermitian spectral problem and enables…

High Energy Physics - Theory · Physics 2026-05-15 Shoya Ogawa , Okuto Morikawa , Takuya Hirose

Black hole quasinormal mode frequencies can be very close to each other ("avoided crossings") or even completely degenerate ("exceptional points") when the system is characterized by more than one parameter. We investigate this resonant…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Yiqiu Yang , Emanuele Berti , Nicola Franchini

We show that nearly extremal Kerr black holes have two distinct sets of quasinormal modes, which we call zero-damping modes (ZDMs) and damped modes (DMs). The ZDMs exist for all harmonic indices $l$ and $m \ge 0$, and their frequencies…

General Relativity and Quantum Cosmology · Physics 2013-03-05 Huan Yang , Fan Zhang , Aaron Zimmerman , David A. Nichols , Emanuele Berti , Yanbei Chen

Disturbing of a spacetime geometry may result in the appearance of an oscillating and damped radiation - the so-called quasinormal modes. Their periods of oscillations and damping coefficients carry unique information about the mass and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski , Edward Malec , Zdobyslaw Swierczynski

We investigate the connection between thermodynamic phase transitions and quasi-normal modes (QNMs) in charged black holes with a positive curvature constant, within the framework of $F(R)$-Euler-Heisenberg gravity. Nonlinear…

High Energy Physics - Theory · Physics 2026-01-13 Zi-Yu Hou , Yu-Qi Lei , Xian-Hui Ge

Quasinormal modes describe the return to equilibrium of a perturbed system, in particular the ringdown phase of a black hole merger. But as globally-defined quantities, the quasinormal spectrum can be highly sensitive to global structure,…

General Relativity and Quantum Cosmology · Physics 2019-12-18 Lam Hui , Daniel Kabat , Sam S. C. Wong
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