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We investigate the effects of the Gauss-Bonnet (GB) gravitational trace anomaly on the circular motion of test particles around black holes (BHs) and its implications for quasi-periodic oscillations (QPOs) in various theoretical models.…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Rupam Jyoti Borah , Umananda Dev Goswami

In this paper, we investigate the quasinormal modes of two covariant effective black holes characterized by the quantum parameter $\zeta$, charge $Q$, and cosmological constant $\Lambda$, under the scalar perturbation. By employing the…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Zhongzhinan Dong , Jinsong Yang

The resonant mode spectrum of the Kerr-Newman spacetime is presently unknown. These modes, called the quasinormal modes, play a central role in determining the stability of Kerr-Newman black holes and their response to perturbations. We…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Zachary Mark , Huan Yang , Aaron Zimmerman , Yanbei Chen

We present a novel theoretical framework for analysing the stability of rotating black hole spacetimes through the conformal properties of the Weyl tensor. By introducing a new conformal invariant constructed from the electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Nader Haddad

We study the perturbative behaviour of topological black holes. We calculate both analytically and numerically the quasi-normal modes of scalar perturbations. In the case of small black holes we find discontinuities of the quasi-normal…

High Energy Physics - Theory · Physics 2009-04-17 George Koutsoumbas , Eleftherios Papantonopoulos , George Siopsis

The parametrized black hole quasinormal ringdown formalism is useful to compute quasinormal mode (QNM) frequencies if a master equation for the gravitational perturbation around a black hole has a small deviation from the Regge-Wheeler or…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Masashi Kimura

Black hole quasinormal frequencies are complex numbers that encode information on how a black hole relaxes after it has been perturbed and depend on the features of the geometry and on the type of perturbations. On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Antonino Flachi , José P. S. Lemos

We investigate the gravitational quasi-normal modes (QNMs) for a type of regular black hole (BH) known as phantom BH, which is a static self-gravitating solution of a minimally coupled phantom scalar field with a potential. The studies are…

General Relativity and Quantum Cosmology · Physics 2017-02-20 Jin Li , Kai Lin , Hao Wen , Wei-Liang Qian

Black holes immersed in magnetic fields are believed to be important systems in astrophysics. One interesting topic on these systems is their superradiant stability property. In the present paper, we analytically obtain the superradiantly…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Yi-Feng Zou , Jun-Huai Xu , Zhan-Feng Mai , Jia-Hui Huang

Radiation-pressure instability was identified soon after the seminal classical accretion disk models of Shakura-Sunyaev and Novikov-Thorne, yet its full implications remain an active area of investigation. These models form the backbone of…

High Energy Astrophysical Phenomena · Physics 2025-12-10 Agnieszka Janiuk , Bozena Czerny , Pulkit Ojha , Yuri Cavecchi , Federico Vincentelli

Spinning Kerr black holes are known to be superradiantly unstable to massive scalar perturbations. We here prove that the instability regime of the composed Kerr-black-hole-massive-scalar-field system is bounded from above by the…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Shahar Hod

We study odd-parity perturbations about static and spherically symmetric black hole solutions with a linearly time-dependent scalar field in higher-order scalar-tensor theories. In particular, we consider stealth Schwarzschild and stealth…

General Relativity and Quantum Cosmology · Physics 2024-03-01 Keisuke Nakashi , Masashi Kimura , Hayato Motohashi , Kazufumi Takahashi

While $(2+1)$-dimensional black holes in the Einstein theory allow for only the anti-de Sitter asymptotic, when the higher curvature correction is tuned on, the asymptotically flat, de Sitter and anti-de Sitter cases are included. Here we…

General Relativity and Quantum Cosmology · Physics 2024-04-25 Milena Skvortsova

Using two-dimensional hydrodynamic simulations, we investigate the stability of shocked accretion flows around black holes under non-axisymmetric perturbations. By systematically exploring the parameter space of specific energy and angular…

High Energy Astrophysical Phenomena · Physics 2025-05-07 Junxing Zhou , Junxiang Huang , Xin Chang , Toru Okuda , Chandra B. Singh

The addition of a Ricci coupling to Einstein-scalar-Gauss-Bonnet theories makes general relativity a cosmological attractor. Previous work considered a quadratic coupling function with two independent coupling constants in such theories and…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Burkhard Kleihaus , Jutta Kunz , Tim Utermöhlen , Emanuele Berti

The purpose of this chapter is to provide an overview of the exciting field of black hole quasi-normal modes and its capabilities to test general relativity in the 21st century. After motivating this line of research, we provide a…

General Relativity and Quantum Cosmology · Physics 2023-05-04 Nicola Franchini , Sebastian H. Völkel

We initiate the study of stability and pseudospectra of complex momentum modes of asymptotically anti-de Sitter black holes. Similar to quasinormal modes, these can be defined as the poles of the holographic Green's function, albeit for…

High Energy Physics - Theory · Physics 2024-07-09 David Garcia-Fariña , Karl Landsteiner , Pau G. Romeu , Pablo Saura-Bastida

Following Smale, we study simple symmetric mechanical systems of $n$ point particles in the plane. In particular, we address the question of the linear and spectral stability properties of relative equilibria, which are special solutions of…

Dynamical Systems · Mathematics 2014-04-18 Vivina Barutello , Riccardo D. Jadanza , Alessandro Portaluri

We examine the stability of a spherically symmetric regular black hole when subjected to perturbations from a charged scalar field. This particular black hole is constructed by deforming the Minkowski spacetime. It has been observed that…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Yizhi Zhan , Hengyu Xu , Shao-Jun Zhang

In this paper, we adopt continued fraction method (CFM) associated with VBK approach, which is recently developed by Vieira, Bezerra and Kokkotas, to investigate the spectrum of quasibound states (QBS) and superradiant instability of…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Hang Liu , Hong Guo