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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

Black hole solutions in general relativity are simple. The frequency spectrum of linear perturbations around these solutions (i.e., the quasinormal modes) is also simple, and therefore it is a prime target for fundamental tests of black…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Emanuele Berti , Caio F. B. Macedo , Ryan McManus

Quasinormal modes of a scalar field perturbation are investigated in the background spacetime of Einstein-Yang-Mills black holes. The logarithmic term in the metric function of the five-dimensional Einstein-Yang-Mills black hole eliminates…

High Energy Physics - Theory · Physics 2020-09-23 Yang Guo , Yan-Gang Miao

In this paper, we present a detailed analysis of first-order perturbations of the Kerr metric in the slow-rotation limit. We perform the calculation by perturbing the Schwarzschild metric plus up to second-order corrections in the spin in…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Nicola Franchini

Regular black holes, nonsingular solutions to gravitational collapse with quantum corrections, offer a compelling alternative to classical black holes with curvature singularities. In this work, we investigate how the presence of skewed…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Chen Lan , Ying-Lei Tian , Hao Yang , Zhen-Xiao Zhang , Yan-Gang Miao

Nonspherical stellar collapse to a black hole is one of the most promising gravitational wave sources for gravitational wave detectors. We numerically study gravitational waves from a slightly nonspherical stellar collapse to a black hole…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Tomohiro Harada , Hideo Iguchi , Masaru Shibata

This work investigates the echoes in axial gravitational perturbations in compact objects. To this end, we propose an alternative scheme of the finite difference method implemented in two coordinate systems, where the initial conditions are…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Kai Lin , Wei-Liang Qian

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

The post-merger signal in binary black hole merger is described by linear, black-hole perturbation theory. Historically, this has been modeled using the dominant positive-frequency (corotating) fundamental mode. Recently, there has been a…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Arnab Dhani

We consider the time evolution of massless gravitino perturbations in Schwarzschild black holes, and show that as in the case of fields of other values of spin, the evolution comes in three stages, after an initial outburst as a first…

General Relativity and Quantum Cosmology · Physics 2011-02-09 Owen Pavel Fernández Piedra

The ringdown phase of a binary black-hole merger encodes key information about the remnant properties and provides a direct probe of the strong-field regime of General Relativity. While quasi-normal mode frequencies and damping times are…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Francesco Nobili , Swetha Bhagwat , Costantino Pacilio , Davide Gerosa

The detection of quadratic quasi-normal modes would provide a direct probe into black hole nonlinear perturbations. We report the first observational evidence of a set of quadratic quasi-normal modes in the gravitational-wave ringdown of a…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Yi-Fan Wang , Sizheng Ma , Neev Khera , Huan Yang

We consider a series of distorted black hole initial data sets, and develop techniques to evolve them using the linearized equations of motion for the gravitational wave perturbations on a Schwarzschild background. We apply this to 2D and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gabrielle Allen , Karen Camarda , Edward Seidel

Modelling the end point of binary black hole mergers is a cornerstone of modern gravitational-wave astronomy. Extracting multiple quasinormal mode frequencies from the ringdown signal allows the remnant black hole to be studied in…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Eliot Finch , Christopher J. Moore

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

The stability of the Schwarzschild black hole is studied. Regge and Wheeler treated the problem first at 1957 and obtained the dynamical equations for the small perturbation. There are two kinds of perturbations: odd one and even one. Using…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Guihua Tian , Shikun Wang , Zhao Zheng

Is gravity quantum mechanical? If so, we argue that nonlinear effects in black hole ringdowns - notably second harmonic generation - generates gravitational waves in non-classical states. While quantum features of these states such as…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Thiago Guerreiro

We calculate quasinormal modes of scalar and neutrino perturbations around the charged black hole in Asymptotically Safe Gravity. We show that the charge and coupling constant change the quasinormal spectrum considerably. We show that…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Alexey Dubinsky

In order to derive the precise gravitational waveforms for extreme mass ratio inspirals (EMRI), we develop a formulation for the second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The…

General Relativity and Quantum Cosmology · Physics 2008-12-25 Carlos O. Lousto , Hiroyuki Nakano

We investigate axial gravitational perturbations and quasinormal modes of regular black holes supported by an Einasto distribution of matter. Halo matter not only removes the central singularity but also modifies the quasinormal spectrum.…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Mardon Abdullaev , Munisbek Akhmedov