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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

We perturb the non-rotating BTZ black hole with a non-minimally coupled massless scalar field, and we compute the quasinormal spectrum exactly. We solve the radial equation in terms of hypergeometric functions, and we obtain an analytical…

High Energy Physics - Theory · Physics 2018-05-15 Grigoris Panotopoulos

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

We obtain an analytical expression for the electromagnetic quasinormal spectrum of the higher-dimensional nearly-extremal Schwarzschild-de Sitter black hole. The WKB method is used to verify the results, and a comparison with known results…

General Relativity and Quantum Cosmology · Physics 2018-08-27 Grigoris Panotopoulos

Born-Infeld electrodynamics has attracted considerable interest due to its relation to strings and D-branes. In this paper the gravitational perturbations of electrically charged black holes in Einstein-Born-Infeld gravity are studied.…

High Energy Physics - Theory · Physics 2016-05-02 Sharmanthie Fernando

We study for the first time the stability against scalar perturbations, and we compute the spectrum of quasinormal modes of three-dimensional charged black holes in Einstein-power-Maxwell non-linear electrodynamics assuming running…

High Energy Physics - Theory · Physics 2018-02-14 Angel Rincon , Grigoris Panotopoulos

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

This comment critically examines the recent proposal by S.~H.~V\"olkel [Phys. Rev. Lett., arXiv:2505.17186], which asserts that the quasinormal mode (QNM) spectrum of Schwarzschild black holes can be reconstructed from bound states of an…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Davood Momeni

We derive novel black hole solutions in a modified gravity theory, namely the Hu-Sawicki model of $f(R)$ gravity. After obtaining the black hole solution, we study the horizon radius of the black hole from the metric and then analyse the…

General Relativity and Quantum Cosmology · Physics 2024-10-04 Ronit Karmakar , Umananda Dev Goswami

We present the quasinormal frequencies of the massive scalar field in the background of a Schwarzchild black hole surrounded by quintessence with the third-order WKB method. The mass of the scalar field $u$ plays an important role in…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Chunrui Ma , Yuanxing Gui , Wei Wang , Fujun Wang

Linearized perturbations of a Schwarzschild black hole are described, for each angular momentum $\ell$, by the well-studied discrete quasinormal modes (QNMs), and in addition a continuum. The latter is characterized by a cut strength…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. T. Leung , Alec Maassen_van_den_Brink , K. W. Mak , K. Young

We investigate whether quasinormal modes (QNMs) can be used in the search for signatures of extra dimensions. To address a gap in the Beyond the Standard Model (BSM) literature, we focus here on higher dimensions characterised by negative…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Anna Chrysostomou , Alan Cornell , Aldo Deandrea , Étienne Ligout , Dimitrios Tsimpis

The quasinormal mode spectrum of black holes is unstable against small modifications of the radial potential describing massless perturbations. We study how these small modifications affect the convergence of the quasinormal mode expansion…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Naritaka Oshita , Emanuele Berti , Vitor Cardoso

We investigate perturbative quasinormal-mode (QNM) shifts of black holes arising from fractional, nonlocal modifications to the wave operator. Starting from a scalar master equation corrected by a small fractional Laplacian term…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Anisur Rahaman

The ringdown phase of gravitational waves emitted by a perturbed black hole is described by a superposition of exponentially decaying sinusoidal modes, called quasinormal modes (QNMs), whose frequencies depend only on the property of the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Che-Yu Chen , Petr Kotlařík

We study scalar, electromagnetic and gravitational test fields in the Hayward, Bardeen and Ay\'on-Beato-Garc\'ia regular black hole spacetimes and demonstrate that the test fields are stable in all these spacetimes. Using the sixth order…

General Relativity and Quantum Cosmology · Physics 2015-04-28 Bobir Toshmatov , Ahmadjon Abdujabbarov , Zdeněk Stuchlík , Bobomurat Ahmedov

This is an unconventional review article on spectral problems in black hole perturbation theory. Our purpose is to explain how to apply various known techniques in quantum mechanics to such spectral problems. The article includes…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Yasuyuki Hatsuda , Masashi Kimura

We consider the propagation of a charged massive scalar field in the background of a four-dimensional Ernst black hole and study its stability analyzing the quasinormal modes (QNMs), which are calculated using the semi-analytical…

General Relativity and Quantum Cosmology · Physics 2022-11-08 Ramón Bécar , P. A. González , Yerko Vásquez

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

Noncommutative (NC) geometry provides a novel approach to probe quantum gravity effects in black hole spacetimes. This work explores Dirac quasinormal modes (QNMs) of a deformed Reissner-Nordstr\"om black hole, where noncommutativity…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Nikola Herceg , Nikola Konjik , A. Naveena Kumara , Andjelo Samsarov