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Pseudospectral analyses have broadened our understanding of ringdown waveforms from binary remnants, by providing insight into both the stability of their characteristic frequencies under environmental perturbations, as well as the…

General Relativity and Quantum Cosmology · Physics 2024-02-12 Kyriakos Destounis , Valentin Boyanov , Rodrigo Panosso Macedo

By considering a deformation of the Schwarzschild metric in the presence of a minimal measurable length which still respects the equivalence principle, we study corrections to the standard general relativistic predictions for some…

General Relativity and Quantum Cosmology · Physics 2017-06-22 Mohsen Khodadi , Kourosh Nozari , Anahita Hajizadeh

We propose a physically sensible formulation of initial value problem for black hole perturbations in higher-order scalar-tensor theories. As a first application, we study monopole perturbations around stealth Schwarzschild solutions in a…

General Relativity and Quantum Cosmology · Physics 2022-08-19 Keisuke Nakashi , Masashi Kimura , Hayato Motohashi , Kazufumi Takahashi

Extreme mass-ratio inspirals (EMRIs) are among the key targets for future space-based gravitational wave detectors. The gravitational waveforms emitted by EMRIs are highly sensitive to the orbital dynamics of the small compact object, which…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Soroush Zare , Tao Zhu , Luis M. Nieto , Shuo Lu , Hassan Hassanabadi

Using the Schwarzschild metric as a rudimentary toy model, we pedagogically revisit the curious prediction that the mass of a classical black hole in a constant temperature thermal bath diverges in a finite amount of time. We study in…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Aurélien Barrau , Killian Martineau , Cyril Renevey

The retarded Green function for linear field perturbations in Schwarzschild black hole space-time possesses a branch cut in the complex-frequency plane. This branch cut has remained largely unexplored: only asymptotic analyses either for…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Marc Casals , Adrian C. Ottewill

We study axial gravitational perturbations of the asymptotically flat Bardeen spacetime interpreted as a string-T-duality-inspired quantum-corrected Schwarzschild black hole. Starting from the anisotropic-fluid background, we derive the…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Jakhongir Kurbanov , Muhammad Matyoqubov

We carefully study the stable problem of the Rindler space time by the scalar wave perturbation. Using the two different coordinate systems, the scalar wave equation is investigated. The results are different in these two cases. They are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tian Gui-hua , Shi-kun Wang , Shuquan Zhong

In this paper we study the stability and quasi-normal modes of scalar perturbations of black holes. The static charged black hole considered here is a solution to Born-Infeld electrodynamics coupled to gravity. We conclude that the black…

High Energy Physics - Theory · Physics 2016-04-27 Sharmanthie Fernando , Chad Holbrook

We present results from a numerical study of the runaway instability of thick discs around black holes. This instability is an important issue for most models of cosmic gamma-ray bursts, where the central engine responsible for the initial…

Astrophysics · Physics 2008-11-26 Jose A. Font , Frederic Daigne

We present a detailed temporal analysis of a set of hydrodynamic and magnetohydrodynamic (MHD) simulations of geometrically-thin (h/r~0.05) black hole accretion disks. The black hole potential is approximated by the Paczynski-Wiita…

Astrophysics · Physics 2011-02-11 Christopher S. Reynolds , M. Coleman Miller

We present a formalism to study the metric perturbations of the Schwarzschild spacetime. The formalism is gauge invariant, and it is also covariant under two-dimensional coordinate transformations that leave the angular coordinates…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Karl Martel , Eric Poisson

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 investigate the stability analysis of Schwarzschild black hole in Einstein-scalar-Gauss-Bonnet (ESGB) theory because the instability of Schwarzschild black hole without scalar hair implies the Gauss-Bonnet black hole with scalar hair.…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Yun Soo Myung , De-Cheng Zou

We present a short review of the analytical aspects of recent progress in the study of black hole spectral instability and its potential observational consequences. This topic, inspired by earlier foundational works, has attracted…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Shui-Fa Shen , Guan-Ru Li , Ramin G. Daghigh , Jodin C. Morey , Michael D. Green , Wei-Liang Qian , Rui-Hong Yue

We advocate for an alternative description of gravitational radiation from black holes based on complex angular momentum techniques (analytic continuation of partial wave expansions, duality of the ${\cal S}$-matrix and effective…

General Relativity and Quantum Cosmology · Physics 2020-04-17 Antoine Folacci , Mohamed Ould El Hadj

This paper evaluates the potential for constraining the quantum scale parameter $\xi$ of regular black hole within the asymptotically safe gravity framework using gravitational waves from extreme mass ratio inspirals (EMRIs). Since $\xi$…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Lai Zhao , Meirong Tang , Zhaoyi Xu

The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Shigefumi Naka , Haruki Toyoda

We consider weakly non-linear gravitational perturbations of a near-extremal Kerr black hole governed by the second order vacuum Einstein equation. Using the GHZ formalism [Green et al., Class. Quant. Grav. 7(7):075001, 2020], these are…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Claudio Iuliano , Stefan Hollands , Stephen R. Green , Peter Zimmerman

We study the geometry of the event horizon of a spacetime in which a small compact object plunges into a large Schwarzschild black hole. We first use the Regge-Wheeler and Zerilli formalisms to calculate the metric perturbations induced by…

General Relativity and Quantum Cosmology · Physics 2011-12-09 Ryan Hamerly , Yanbei Chen