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The eikonal limit of black hole quasinormal modes (the large multipole limit $\ell \gg 1$) can be realized geometrically as a next-to-leading order solution to the geometric optics approximation, and also as linear fluctuations about the…

广义相对论与量子宇宙学 · 物理学 2025-06-11 Bruno Bucciotti , Vitor Cardoso , Adrien Kuntz , David Pereñiguez , Jaime Redondo-Yuste

We compute the fundamental and overtone quasinormal modes of a regular, asymptotically flat black hole supported by a Dehnen-type matter halo. Gravitational perturbations in this background split into two distinct axial sectors, and our…

广义相对论与量子宇宙学 · 物理学 2025-12-10 Erdinç Ulaş Saka

We study the quasinormal modes (QNM) for scalar, and electromagnetic perturbations in the Schwarzschild black hole with a deficit solid angle and quintessence-like matter. Using the sixth--order WKB approximation and the improved asymptotic…

广义相对论与量子宇宙学 · 物理学 2024-06-17 L. A. López , Omar Pedraza , Roberto Arceo , V. Ceron

We revisit the computation of quasinormal modes (QNMs) of the Kerr black hole using a numerical approach exploiting a representation of the Teukolsky equation as a $2D$ elliptic partial differential equation. By combining the hyperboloidal…

广义相对论与量子宇宙学 · 物理学 2025-06-06 Jamil Assaad , Rodrigo Panosso Macedo

We study how quasinormal-mode frequencies may encode information about the effective matter source responsible for black-hole hair. Using the established eikonal correspondence between quasinormal modes and unstable null geodesics, we…

广义相对论与量子宇宙学 · 物理学 2026-05-20 Ariadna Uxue Palomino Ylla , Kosuke Makino , Akane Tanaka , Akihiro Ishibashi , Chul-Moon Yoo

Black hole spectroscopy with gravitational waves is an important tool to measure the mass and spin of astrophysical black holes and to test their Kerr nature. Next-generation ground- and space-based detectors will observe binary black hole…

广义相对论与量子宇宙学 · 物理学 2022-10-26 Emanuele Berti , Vitor Cardoso , Mark Ho-Yeuk Cheung , Francesco Di Filippo , Francisco Duque , Paul Martens , Shinji Mukohyama

Since the Bekenstein's proposal that a black hole has equally spaced area spectrum, the quasinormal modes as the characteristic modes of a black hole have been used in obtaining the horizon area spectrum of the black hole. However, the area…

高能物理 - 理论 · 物理学 2010-06-25 Yongjoon Kwon , Soonkeon Nam

We extend the restricted phase space formalism for spherically symmetric black hole solutions of Einstein-Maxwell theory to the quasi-local regime, with the static observers located at a finite radial distance. The first law and Euler…

广义相对论与量子宇宙学 · 物理学 2026-05-11 Bai-Hao Huang , Liu Zhao

Recent work has shown that the quasinormal mode spectrum of black holes is unstable under small perturbations (of order $\epsilon$) of the radial potential, while the early time-domain ringdown waveform is only marginally affected. In this…

广义相对论与量子宇宙学 · 物理学 2024-10-10 Yiqiu Yang , Zhan-Feng Mai , Run-Qiu Yang , Lijing Shao , Emanuele Berti

In this paper we investigate how a regular scale-dependent black hole, characterized by a single extra parameter $\epsilon$, behaves under perturbations by a test field (quasi-normal modes) and under light imaging (shadows) in a…

广义相对论与量子宇宙学 · 物理学 2026-01-15 Benjamin Koch , Gonzalo J. Olmo , Ali Riahinia , Ángel Rincón , Diego Rubiera-Garcia

Recent studies have shown that rotating black holes can undergo spontaneous scalarization, leading to deviations from general relativity in the strong-field regime. We present the first nonperturbative calculation of the quasinormal modes…

广义相对论与量子宇宙学 · 物理学 2025-11-05 Wei Xiong , Peng-Cheng Li

The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode…

广义相对论与量子宇宙学 · 物理学 2014-01-23 Zhongyang Zhang , Emanuele Berti , Vitor Cardoso

While black hole perturbation theory predicts a rich quasi-normal mode structure, technical challenges have limited the numerical study of excitations to the fundamental, lowest order modes caused by the coalescence of black holes. Here, we…

广义相对论与量子宇宙学 · 物理学 2017-02-22 Lionel London , James Healy , Deirdre Shoemaker

We use Penrose limits to approximate quasinormal modes with large real frequencies. The Penrose limit associates a plane wave to a region of spacetime near a null geodesic. This plane wave can be argued to geometrically realize the…

广义相对论与量子宇宙学 · 物理学 2023-01-18 Kwinten Fransen

The traditional approach to perturbations of nonrotating black holes in General Relativity uses the reformulation of the equations of motion into a radial second-order Schr\"odinger-like equation, whose asymptotic solutions are elementary.…

广义相对论与量子宇宙学 · 物理学 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

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…

广义相对论与量子宇宙学 · 物理学 2023-05-04 Nicola Franchini , Sebastian H. Völkel

Black hole `spectroscopy', i.e. the identification of quasinormal mode frequencies via gravitational wave observations, is a powerful technique for testing the general relativistic nature of black holes. In theories of gravity beyond…

广义相对论与量子宇宙学 · 物理学 2020-03-04 Hector O. Silva , Kostas Glampedakis

Using the Frobenius method, we find high overtones of the Dirac quasinormal spectrum for the Schwarzschild black hole. At high overtones, the spacing for imaginary part of $\omega_{n}$ is equidistant and equals to…

高能物理 - 理论 · 物理学 2009-11-10 K. H. C. Castello-Branco , R. A. Konoplya , A. Zhidenko

The neutrino quasinormal modes of the Reissner-Nordstr\"om (RN) black hole are investigated using continued fraction approach. We find, for large angular quantum number, that the quasinormal frequencies become evenly spaced and the spacing…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Jiliang Jing

Grey-body factors and quasinormal modes are two distinct characteristics of radiation near black holes, each associated with different boundary conditions. Nevertheless, a correspondence exists between them, which we use to calculate the…

广义相对论与量子宇宙学 · 物理学 2024-11-12 Milena Skvortsova