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The purpose of the current Letter is to give some relations between gravitational lensing in the strong-deflection limit and the frequencies of the quasinormal modes of spherically symmetric, asymptotically flat black holes. On the one…

General Relativity and Quantum Cosmology · Physics 2010-09-24 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Galin G. Gyulchev

Gravitational waves provide direct information about the nature of spacetime and the existence of black holes. The remnant of a binary black hole merger emits gravitational waves in the form of quasinormal modes, whose spectrum is known as…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Iara Ota

We analyze the null geodesics of regular black holes. A detailed analysis of geodesic structure both null geodesics and time-like geodesics have been investigated for the said black hole. As an application of null geodecics, we calculate…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Monimala Mondal , Anil Kumar Yadav , Parthapratim Pradhan , Sayeedul Islam , Farook Rahaman

The quasinormal modes (QNMs) of a regular black hole with charge are calculated in the eikonal approximation. In the eikonal limit the QNMs of black hole are determined by the parameters of the unstable circular null geodesics. The…

General Relativity and Quantum Cosmology · Physics 2020-08-20 L. A. Lopez , Valeria Hinojosa

Scalar, vector and tensor perturbations on the Kerr spacetime are governed by equations that can be solved by separation of variables, but the same is not true in generic stationary and axisymmetric geometries. This complicates the…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Rajes Ghosh , Nicola Franchini , Sebastian H. Völkel , Enrico Barausse

We present numerical results from three-dimensional evolutions of scalar perturbations of Kerr black holes. Our simulations make use of a high-order accurate multi-block code which naturally allows for fixed adaptivity and smooth inner…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ernst Nils Dorband , Emanuele Berti , Peter Diener , Erik Schnetter , Manuel Tiglio

Black-hole spectroscopy aims to infer the fundamental properties of black holes by analysing the spectrum of gravitational waves emitted as they settle into equilibrium. These resonances, known as quasinormal modes (QNMs), decay rapidly,…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Pietro Smaniotto , Leonardo Solidoro , Patrik Švančara , Sam Patrick , Maurício Richartz , Carlo F. Barenghi , Ruth Gregory , Silke Weinfurtner

We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 +1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions. Thus, the…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Sharmanthie Fernando , P. A. González , Yerko Vásquez

We compute the exact gravitational quasinormal frequencies for massless topological black holes in d-dimensional anti-de Sitter space. Using the gauge invariant formalism for gravitational perturbations derived by Kodama and Ishibashi, we…

High Energy Physics - Theory · Physics 2008-11-26 Danny Birmingham , Susan Mokhtari

The intricacies of black hole ringdown analysis are amplified by the absence of a complete set of orthogonal basis functions for quasinormal modes. Although damped sinusoids effectively fit the ringdown signals from binary black hole…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Hengrui Zhu , Justin L. Ripley , Alejandro Cárdenas-Avendaño , Frans Pretorius

We investigate the quasinormal modes of massless scalar and electromagnetic perturbations in charged Euler--Heisenberg black holes surrounded by perfect fluid dark matter. The quasinormal frequencies are calculated using the asymptotic…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Chengfu Feng , Sheng-Yuan Li , Xufen Zhang , Ming Zhang , De-Cheng Zou , Rui-Hong Yue

The recent reported gravitational wave detection motivates one to investigate the properties of different black hole models, especially their behavior under (axial) gravitational perturbation. Here, we study the quasinormal modes of black…

General Relativity and Quantum Cosmology · Physics 2022-08-09 Mehrab Momennia , Seyed Hossein Hendi

We consider a wide class of static spherically symmetric black holes of arbitrary dimension with a photon sphere (a hypersurface on which a massless particle can orbit the black hole on unstable circular null geodesics). This class includes…

General Relativity and Quantum Cosmology · Physics 2010-05-20 Yves Décanini , Antoine Folacci , Bernard Raffaelli

After black holes collide, the remnant settles to a stationary state by emitting gravitational waves. Once non-linearities subside, these ringdown waves are dominated by exponentially-damped sinusoids, or quasinormal modes. We develop a…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Adrian Ka-Wai Chung , Nicolas Yunes

Quasinormal modes of perturbed black holes have recently gained much interest because of their tight relations with the gravitational wave signals emitted during the post-merger phase of a binary black hole coalescence. One of the…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Che-Yu Chen , Mariam Bouhmadi-López , Pisin Chen

We compute numerically the quasinormal modes of Kerr-Newman black holes in the scalar case, for which the perturbation equations are separable. Then we study different approximations to decouple electromagnetic and gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emanuele Berti , Kostas D. Kokkotas

Linear perturbations of spherically symmetric spacetimes in general relativity are described by radial wave equations, with potentials that depend on the spin of the perturbing field. In previous work we studied the quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Ryan McManus , Emanuele Berti , Caio F. B. Macedo , Masashi Kimura , Andrea Maselli , Vitor Cardoso

We compute the quasinormal frequencies of $d$-dimensional spherically symmetric black holes with leading string $\alpha'$ corrections in the eikonal limit for tensorial gravitational perturbations and scalar test fields. We find that,…

High Energy Physics - Theory · Physics 2021-06-09 Filipe Moura , João Rodrigues

In this work, we study the black hole light echoes in terms of the two-photon autocorrelation and explore their connection with the quasinormal modes. It is shown that the above time-domain phenomenon can be analyzed by utilizing the…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Wei-Liang Qian , Kai Lin , Xiao-Mei Kuang , Bin Wang , Rui-Hong Yue

We study the perturbations to General Relativistic black holes (i.e. those without scalar hair) in Horndeski scalar-tensor gravity. First, we derive the equations of odd and even parity perturbations of both the metric and scalar field in…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Oliver J. Tattersall , Pedro G. Ferreira