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This work discusses the Improved Matrix Method and Weighted Residual Method for studying the quasinormal modes (QNMs) of black holes. In the first method, by utilizing Jordan decomposition, the improved matrix method avoids the calculation…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Kai Lin

We study the quasi-normal modes (QNMs) of static, spherically symmetric black holes in $f(R)$ theories. We show how these modes in theories with non-trivial $f(R)$ are fundamentally different from those in General Relativity. In the special…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Sayak Datta , Sukanta Bose

We study quasinormal modes (QNMs) of uncharged Grumiller black hole (GBH). This massive BH has a Rindler acceleration $a$, and hence it is also called Rindler modified Schwarzschild BH. After reducing the radial equation of the massless…

General Relativity and Quantum Cosmology · Physics 2014-05-22 I. Sakalli , S. F. Mirekhtiary

The recent birth of gravitational wave astronomy invites a new generation of precision tests of general relativity. Signatures of black hole (BH) mergers must be systematically explored in a wide spectrum of modified gravity theories. Here,…

General Relativity and Quantum Cosmology · Physics 2017-09-01 Puttarak Jai-akson , Auttakit Chatrabhuti , Oleg Evnin , Luis Lehner

The recent convergence of gravitational-wave (GW) observations and black hole imaging provides complementary probes of strong-gravity dynamics. While the black hole shadow is typically modeled as a static feature, a dynamically perturbed…

High Energy Physics - Theory · Physics 2026-03-03 Reggie C. Pantig

We formulate a Bayesian framework to analyze ringdown gravitational waves from colliding binary black holes and test the no-hair theorem. The idea hinges on mode cleaning -- revealing subdominant oscillation modes by removing dominant ones…

General Relativity and Quantum Cosmology · Physics 2023-04-06 Sizheng Ma , Ling Sun , Yanbei Chen

We analyze the quasinormal modes (QNMs) of a recently obtained solution of a Schwarzschild black hole (BH) with corrections motivated by Loop Quantum Gravity (LQG). This spacetime is regular everywhere and presents the global structure of a…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Zeus S. Moreira , Haroldo C. D. Lima Junior , Luís C. B. Crispino , Carlos A. R. Herdeiro

Quadratic quasinormal modes (QQNMs) and Christodoulou memory effect are key nonlinear phenomena in gravitational wave physics. QQNMs characterize the near zone nonlinear response of a perturbed black hole, whereas the memory effect is a…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Jun-Xi Shi , Zhen-Tao He , Jiageng Jiao , Jing-Qi Lai , Caiying Shao , Yu Tian , Hongbao Zhang

The possibility of testing gravity theories with the help of gravitational wave detections has become an interesting arena of recent research. In this paper, we follow this direction by investigating the quasinormal modes (QNMs) of the…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Che-Yu Chen , Mariam Bouhmadi-López , Pisin Chen

Oscillations of black hole spacetimes exhibit divergent behavior toward the bifurcation sphere and spatial infinity. This divergence can be understood as a consequence of the geometry in these spacetime regions. In contrast, black-hole…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Rodrigo Panosso Macedo , Anil Zenginoglu

The ringdown part of gravitational waves in the final stage of merger of compact objects tells us the nature of strong gravity which can be used for testing the theories of gravity. The ringdown waveform, however, fades out in a very short…

Quasi-Normal Modes (QNM) or ringdown phase of gravitational waves provide critical information about the structure of compact objects like Black Holes. Thus, QNMs can be a tool to test General Relativity (GR) and possible deviations from…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Soham Bhattacharyya , S. Shankaranarayanan

Theoretical understanding of the characteristic oscillations of a perturbed black hole, also referred to as quasinormal modes (QNMs), is crucial to interpreting the late stage of binary black hole mergers that we now routinely observe in…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Rico K. L. Lo , Leart Sabani , Vitor Cardoso

Two quantum-corrected black hole models have recently been proposed within the Hamiltonian constraints approach to quantum gravity, maintaining general covariance \cite{Zhang:2024khj}. We have studied the quasinormal spectra of these black…

General Relativity and Quantum Cosmology · Physics 2025-05-28 R. A. Konoplya , O. S. Stashko

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

It is shown that the spectral amplitude of gravitational-wave (GW) ringdown of a Kerr black hole sourced by an extreme mass ratio merger can be modeled by the $\textit{greybody factor}$, which quantifies the scattering nature of the black…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Naritaka Oshita

We study an improved method for detecting gravitational wave (GW) signals from perturbed black holes by earth-based detectors in the quest for searching for intermediate-mass black holes (IMBHs). Such signals, called ringdowns, are damped…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Dipongkar Talukder , Sukanta Bose , Sarah Caudill , Paul T. Baker

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

Black hole ringdowns in extensions of General Relativity (GR) generically exhibit two distinct signatures: (1) theory-dependent shifts in the standard black-hole quasinormal modes, and (2) additional modes arising from extra fundamental…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Francesco Crescimbeni , Xisco Jimenez-Forteza , Paolo Pani

We investigate the quasinormal mode (QNM) spectrum of a Kerr-like black-bounce spacetime under massive scalar-field perturbations. Starting from the Kerr-like deformation of the Simpson--Visser black-bounce geometry, we derive the…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Yi Yang , Dong Liu , Ali Övgün , Zheng-Wen Long , Zhaoyi Xu
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