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We propose a new parametric framework to describe in generic metric theories of gravity the spacetime of spherically symmetric and slowly rotating black holes. In contrast to similar approaches proposed so far, we do not use a Taylor…

General Relativity and Quantum Cosmology · Physics 2014-10-09 Luciano Rezzolla , Alexander Zhidenko

Black holes are found to exist in gravitational theories with the presence of quadratic curvature terms and behave differently from the Schwarzschild solution. We present an exhaustive analysis for determining the quasinormal modes of a…

High Energy Physics - Theory · Physics 2016-01-20 Yi-Fu Cai , Hezi Zhang , Junyu Liu , Gong Cheng , Min Wang

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

After a brief introduction to quasinormal modes in dissipative systems, we review the WKB formalism in the context of the analytical calculation of quasinormal frequencies. We apply these results to the calculation of quasinormal…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Filipe Moura , João Rodrigues

In this article, we study the stability of black hole solutions found in the context of dilatonic Horava-Lifshitz gravity in $1+1$ dimensions by means of the quasinormal modes approach. In order to find the corresponding quasinormal modes,…

General Relativity and Quantum Cosmology · Physics 2016-02-22 Miguel Cruz , Manuel Gonzalez-Espinoza , Joel Saavedra , Diego Vargas-Arancibia

In this letter, a matrix method is employed to study the scalar quasinormal modes of Kerr as well as Kerr-Sen black holes. Discretization is applied to transfer the scalar perturbation equation into a matrix form eigenvalue problem, where…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Kai Lin , Wei-Liang Qian , Alan B. Pavan , Elcio Abdalla

We investigate the quasinormal modes (QNMs) of the scalar field coupled to the Einstein's tensor in the non-commutative geometry inspired black hole spacetime. It is found that the lapse function of the non-commutative black hole metric can…

Nuclear Theory · Physics 2021-11-17 Zening Yan , Chen Wu , Wenjun Guo

Obtaining black hole solutions in alternative theories of gravity can be a difficult task due to cumbersome field equations that arise in many of such theories. In order to study the strong field regime in a model-free approach, one can…

General Relativity and Quantum Cosmology · Physics 2021-12-03 Renan B. Magalhães , Luiz C. S. Leite , Luís C. B. Crispino

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 in detail the quasinormal modes of linear gravitational perturbations of plane-symmetric anti-de Sitter black holes. The wave equations are obtained by means of the Newman-Penrose formalism and the Chandrasekhar transformation…

General Relativity and Quantum Cosmology · Physics 2016-03-25 Alex S. Miranda , Vilson T. Zanchin

In this paper we present a spectral decomposition of solutions to relativistic wave equations described on horizon penetrating hyperboloidal slices within a given Schwarzschild-black-hole background. The wave equa- tion in question is…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Marcus Ansorg , Rodrigo Panosso Macedo

Recently massless test scalar field perturbations of the holonomy corrected black holes [Z. Moreira et. al. Phys. Rev. D 107 (2023) 10, 104016] were studied in order to estimate quantum corrections to the quasinormal spectrum of a black…

General Relativity and Quantum Cosmology · Physics 2024-10-15 S. V. Bolokhov

We study the quasi-normal modes of the charged scalar perturbations in the background of the Einstein-Maxwell-aether black hole through three methods (WKB method, continued fraction method, generalized eigenvalue method). Then we propose…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Wei Xiong , Peng Liu , Cheng-Yong Zhang , Chao Niu

The characteristic oscillations of black holes, as described by their quasinormal mode (QNM) spectrum, play a fundamental role in testing general relativity with gravitational waves. The so-called parametrized QNM framework was introduced…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Spyros Thomopoulos , Sebastian H. Völkel , Harald P. Pfeiffer

We investigate black hole quasinormal modes using the exact WKB method. We perform an analytic continuation from the horizon to infinity along the positive real axis of the radial coordinate and impose appropriate boundary conditions at…

High Energy Physics - Theory · Physics 2025-07-10 Taiga Miyachi , Ryo Namba , Hidetoshi Omiya , Naritaka Oshita

A number of near-extremal conditions are utilized to simplify the equation of motion of the neutral scalar perturbations in generalized spherically symmetric black hole background into a differential equation with the P\"{o}schl-Teller…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Piyabut Burikham , Supakchai Ponglertsakul , Taum Withucharn

A recent investigation has led to the possibility of the existence of an interesting region of the asymptotic quasinormal mode spectrum of Schwarzschild-anti de Sitter black holes. In this asymptotic region, the real part of quasinormal…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Ramin G. Daghigh

We investigate the influence of vacuum polarization of quantum massive fields on the scalar sector of quasinormal modes in spherically symmetric black holes. We consider the evolution of a massless scalar field on the spacetime…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Owen Pavel Fernandez Piedra , Jeferson de Oliveira

We study the spectrum of quasinormal mode frequencies for a Proca field on a rotating black hole spacetime. First, we review how the introduction of field mass modifies the spectrum in the scalar-field case, leading to evanescent modes and…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Jake Percival , Sam R Dolan

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