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We study the causal structure of Schwarzschild-de Sitter (SdS), including shock wave perturbations, in $D>3$ using reflected null ray trajectories, either through the interior black hole or the exterior de Sitter region. Specifically, we…

High Energy Physics - Theory · Physics 2025-09-01 Mir Mehedi Faruk , Facundo Rost , Jan Pieter van der Schaar

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Kai Lin , Wei-Liang Qian

This paper investigates the quasinormal mode (QNM) vibrations of a rotating cylindrical black hole (or black string) spacetime that is surrounded by a thin shell rotating synchronously with the black string's axis. The existence of the thin…

General Relativity and Quantum Cosmology · Physics 2023-06-05 Kai Lin

It is known that the nonstrictly thermal character of the Hawking radiation spectrum harmonizes Hawking radiation with black hole (BH) quasi-normal modes (QNM). This paramount issue has been recently analyzed in the framework of both…

General Physics · Physics 2014-02-10 Christian Corda , Seyed Hossein Hendi , Reza Katebi , Nathan O. Schmidt

Recently, an exact rotating black hole solution in a parity-violating theory of gravity was obtained via a conformal transformation of the Kerr solution in general relativity, with parity-violating effects encoded in the conformal factor.…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Hiroaki W. H. Tahara , Hayato Motohashi , Kazufumi Takahashi , Vicharit Yingcharoenrat

The scrutiny of black hole perturbations and its application to testing gravity theories have been a very crucial frontier in modern physics. In this paper we study the quasi-normal modes (QNM) of massless scalar perturbations for various…

General Relativity and Quantum Cosmology · Physics 2018-09-03 Che-Yu Chen , Pisin Chen

We compute the spectrum of quasinormal frequencies of five-dimensional black holes obtained in noncommutative geometry. In particular, we study scalar perturbations of a massive scalar field adopting the 6th order WKB approximation. We…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Grigoris Panotopoulos , Ángel Rincón

The future detection of quasi-normal modes (QNMs) from black hole ringdown will allow for consistency and independent tests of general relativity (GR) in the strong-field regime. In this paper, we perform a ringdown Fisher forecast when…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Macarena Lagos , Tomás Andrade , Jordi Rafecas-Ventosa , Lam Hui

Observations of gravitational waves (GWs) generated by binary black hole (BBH) mergers provide us with a powerful way to explore the strong and highly dynamical regime of gravity theories. The ringdown of BBH merger, consisting of a series…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Zexin Hu , Daniela D. Doneva , Stoytcho S. Yazadjiev , Lijing Shao

We present a new framework for characterizing quasinormal modes (QNMs) or resonant states for the wave equation on asymptotically flat spacetimes, applied to the setting of extremal Reissner-Nordstr\"om black holes. We show that QNMs can be…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Dejan Gajic , Claude Warnick

In this paper, we first investigate the thermal stability of black holes in conformal Weyl gravity with a comparison with the Schwarzschild black holes. Then, we consider a minimally coupled massive scalar perturbation and calculate the…

High Energy Physics - Theory · Physics 2022-08-09 Mehrab Momennia , Seyed Hossein Hendi , Fatemeh Soltani Bidgoli

This research explores the quasinormal modes (QNMs) characteristics of charged black holes in a perfect fluid dark matter (PFDM) environment. Based on the Event Horizon Telescope (EHT) observations of the M87* black hole shadow, we…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Qun Tan , Dong Liu , Jie Liang , Zheng-Wen Long

We evaluate the complex frequencies of the normal modes for the massive charged scalar field perturbations around a Reissner-N\"ordstrom black hole surrounded by a static and spherically symmetric quintessence using third order WKB…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Nijo Varghese , V. C. Kuriakose

We calculate gravitational perturbation quasinormal modes (QNMs) of non-singular Bardeen black holes (BHs) and singularity-free BHs in conformal gravity and examine their spectra in wave dynamics comparing with standard BHs in general…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Hang Liu , Chao Zhang , Yungui Gong , Bin Wang , Anzhong Wang

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

We discuss an approach to obtaining black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM), initially developed to solve second order ordinary differential equations. We introduce the standard version of this method…

General Relativity and Quantum Cosmology · Physics 2012-05-08 H. T. Cho , A. S. Cornell , Jason Doukas , T. R. Huang , Wade Naylor

We investigate the massless scalar field perturbations, including the quasinormal mode spectrum and the ringdown waveform, of a regular black hole spacetime that was derived via the Loop Quantum Gravity inspired polymer quantization of…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey , Gabor Kunstatter

We prove that the number of quasinormal modes (QNM) for Schwarzschild and Schwarzschild-de Sitter black holes in a disc of radius $ r $ is bounded from below by $ c r^3 $. This shows that the recent upper bound by J\'ez\'equel is sharp. The…

Mathematical Physics · Physics 2025-05-20 Michael Hitrik , Maciej Zworski

In this paper we investigate gravitational perturbations of a regular black hole, particularly Bardeen solution. Such system is solution of Einstein equations that do not have a singularity at the origin of the radial symmetry. However it…

General Relativity and Quantum Cosmology · Physics 2014-07-17 S. C. Ulhoa

A conjectured connection to quantum gravity has led to a renewed interest in highly damped black hole quasinormal modes (QNMs). In this paper we present simple derivations (based on the WKB approximation) of conditions that determine the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 N Andersson , C. J. Howls