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In this chapter, we review the eikonal technique to analytically derive approximate quasi-normal mode frequencies of black holes. We first review the procedure in General Relativity and extend it to theories beyond General Relativity. As an…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Kent Yagi

We investigated the superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole which is recently inspired by Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)]. We found that the positive Gauss-Bonnet coupling…

General Relativity and Quantum Cosmology · Physics 2020-04-10 Cheng-Yong Zhang , Shao-Jun Zhang , Peng-Cheng Li , Minyong Guo

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

We investigate quasitopological black holes in $(2+1)$ dimensions in the context of electromagnetic-generalized-quasitopological-gravities (EM-GQT). For three different families of geometries of quasitopological nature, we study the causal…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Jeferson de Oliveira , R. D. B. Fontana , A. B. Pavan

We study the propagation of massless scalar fields non-minimally coupled to gravity in the background of five-dimensional Einstein-power-Maxwell black holes, and using the WKB and the pseudospectral Chebyshev methods we obtain the…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Angel Rincon , P. A. Gonzalez , Grigoris Panotopoulos , Joel Saavedra , Yerko Vasquez

The quasinormal modes of massless scalar field in rotating Bardeen and Hayward regular black holes are studied. The fundamental quasinormal modes and $n=1$ first overtone quasinormal modes are calculated with two numerical methods, i.e. WKB…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Yating Peng , Jia-Hui Huang

We study gravitational perturbations of electrically charged black holes in (3+1)-dimensional Einstein-Born-Infeld gravity with a positive cosmological constant. For the axial perturbations, we obtain a set of decoupled Schrodinger-type…

High Energy Physics - Theory · Physics 2020-08-24 Chong Oh Lee , Jin Young Kim , Mu-In Park

We investigate the connection between black hole shadow and quasinormal mode (QNM) spectra in the context of scalar-tensor-vector gravity (STVG) coupled to perfect fluid dark matter (PFDM), characterized by the MOG parameter $\alpha$ and…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Ziqiang Cai , Zhi Li , Zhenglong Ban , Qi-Qi Liang , Zheng-Wen Long

In the previous paper (Li, X. Z., Xi, P., Zhai, X. H.: Phys. Lett. B{\bf666}, 125-130 (2008)), we show the solutions of Einstein equations with static spherically-symmetric quintessence-like matter surrounding a global monopole.…

General Relativity and Quantum Cosmology · Physics 2009-06-04 Ping Xi

The purpose of this study is to investigate the quasinormal modes (QNMs), greybody factors (GFs) and shadows in a plasma of a black hole (BH) surrounded by an exotic fluid of quintessence type in a scalar-vector-tensor modified gravity. The…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Ahmad Al-Badawi

We investigate quasinormal modes (QNMs) and Hawking radiation of a Reissner-Nordstr\"om black hole sur-rounded by quintessence. The Wentzel-Kramers-Brillouin (WKB) method is used to evaluate the QNMs and the rate of radiation. The results…

General Relativity and Quantum Cosmology · Physics 2016-04-11 Mahamat Saleh , Bouetou Bouetou Thomas , Kofane Timoleon Crepin

In this paper, we analytically present an exact confining charged black hole solution to the scalar-tensor description of regularized 4-dimensional Einstein-Gauss-Bonnet gravity (4DEGBG) coupled to non-linear gauge theory containing…

General Relativity and Quantum Cosmology · Physics 2022-04-28 A. Övgün

We study the quasinormal modes of the massless scalar field of charged black holes embedded in the Randal-Sundrum brane world using the third order WKB approximation. We consider the effects of the electromagnetic and tidal charges on…

High Energy Physics - Theory · Physics 2017-07-25 N. Abbasvandi , M. J. Soleimani , W. A. T. Wan Abdullah , Shahidan Radiman

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

In this paper we obtain an effective metric describing a regular and rotating magnetic black hole (BH) solution with a Yang-Mills electromagnetic source in Einstein-Yang-Mills (EYM) theory using the Newman--Janis algorithm via the…

General Relativity and Quantum Cosmology · Physics 2021-01-08 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Shao-Wen Wei , Qiang Wu , Anzhong Wang

In this work we study the Dirac quasinormal modes of higher dimensional charged black holes. Higher dimensional Reissner-N\"{o}rdstrom type black holes as well as charged black holes in Einstein Gauss-Bonnet theories are studied for…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Sayan K. Chakrabarti

We study the axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity. Considering the axial perturbation of the background spacetime, we obtain the Schr\"{o}dinger-like master equation. Then we calculate the…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Sen Yang , Wen-Di Guo , Qin Tan , Yu-Xiao Liu

We investigate Einstein-Gauss-Bonnet (EGB) 4D massive gravity coupled to nonlinear electrodynamics (NED) in an Anti-de-Sitter (AdS) background and find an exact magnetically charged black hole solution. The metric function was analyzed for…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Prosenjit Paul , S. I. Kruglov

This paper investigates the dynamic behavior of static, spherically symmetric black holes within the Einstein-Bumblebee gravity model with a cosmological constant, focusing on scalar field perturbations. Through separation of the angular…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Hao Hu , Guoxiong Zhu

Studies of quasinormal modes (QNMs) of black holes have a long and well established history. Predominantly, much research in this area has customarily focused on the equations given by Regge, Wheeler and Zerilli. In this work we study…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Bishop Mongwane , Sipho Nkele , Didam G. A. Duniya , Nigel T. Bishop
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