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We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

Quadratic quasinormal modes encode fundamental properties of black hole spacetimes. They are also one of the key ingredients of nonlinearities of General Relativity in the ringdown stage of binary black hole coalescence. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Neev Khera , Sizheng Ma , Huan Yang

We provide a rigorous definition of quasi-normal modes for a rotating black hole. They are given by the poles of a certain meromorphic family of operators and agree with the heuristic definition in the physics literature. If the black hole…

Analysis of PDEs · Mathematics 2011-07-21 Semyon Dyatlov

We study SU($N$) spin systems that mimic the behavior of particles in $N$-dimensional de Sitter space for $N=2,3$. Their Hamiltonians describe a dynamical system with hyperbolic fixed points, leading to emergent quasinormal modes at the…

High Energy Physics - Theory · Physics 2025-09-03 Sergio E. Aguilar-Gutierrez , Yichao Fu , Kuntal Pal , Klaas Parmentier

Using series solutions and time-domain evolutions, we probe the eikonal limit of the gravitational and scalar-field quasinormal modes of large black holes and black branes in anti-de Sitter backgrounds. These results are particularly…

High Energy Physics - Theory · Physics 2009-09-02 Jaqueline Morgan , Vitor Cardoso , Alex S. Miranda , C. Molina , Vilson T. Zanchin

It has been suggested that the spectrum of quasinormal modes of rotating black holes is unstable against additional potential terms in the perturbation equation, as the operator associated with the equation is non-self-adjoint. We point out…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Huan Yang , Jun Zhang

The accurate computation of quasinormal modes from rotating black holes beyond general relativity is crucial for testing fundamental physics with gravitational waves. In this study, we assess the accuracy of the eikonal and post-Kerr…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Ciro De Simone , Sebastian H. Völkel , Kostas D. Kokkotas , Vittorio De Falco , Salvatore Capozziello

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

We investigate scalar field perturbations of the rotating Teo wormhole. We also compute the quasinormal mode (QNM) spectrum using first order WKB approximation. After separation of variables, we obtain a Schroedinger type radial equation…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Ramesh Radhakrishnan , Gerald Cleaver , Delaram Mirfendereski , Eric Davis , Claudio Cremaschini

Modifying a method by Horowitz and Hubeny for asymptotically anti-de Sitter black holes, we establish the classical stability of the quasinormal modes of the de Sitter spacetime. Furthermore using a straightforward method we calculate the…

General Relativity and Quantum Cosmology · Physics 2015-06-05 A. Lopez-Ortega

Stability criteria of nearly extreme black holes in the perturbations level is one of the interesting issues in gravitational systems. Considering the nearly extreme conformal-de Sitter black holes, in this paper, we obtain an exact…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Mehrab Momennia , Seyed Hossein Hendi

Motivated by the study of conditional stability of traveling waves, we give an elementary $H^2$ center stable manifold construction for quasilinear parabolic PDE, sidestepping apparently delicate regularity issues by the combination of a…

Analysis of PDEs · Mathematics 2009-01-13 Kevin Zumbrun

In this work we present an extension of the time domain phenomenological model IMRPhenomT for gravitational wave signals from binary black hole coalescences to include subdominant harmonics, specifically the $(l=2, m=\pm 1)$, $(l=3, m=\pm…

General Relativity and Quantum Cosmology · Physics 2020-12-23 Héctor Estellés , Sascha Husa , Marta Colleoni , David Keitel , Maite Mateu-Lucena , Cecilio García-Quirós , Antoni Ramos-Buades , Angela Borchers

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

We calculate the quasinormal modes of a nonsingular spherically symmetric black hole effective model with holonomy corrections. The model is based on quantum corrections inspired by loop quantum gravity. It is covariant and results in a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Douglas M. Gingrich

In this work we explore some aspects of the spectral instability of back hole quasi-normal modes, using a specific model as an example. The model is that of a small bump perturbation to the effective potential of linear axial gravitational…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Valentin Boyanov

We study massive scalar quasinormal spectra of charged Einstein--Maxwell--dilaton black holes by combining high-order WKB--Pad\'e calculations with time-domain evolution. The two approaches show close agreement in the regime where both…

General Relativity and Quantum Cosmology · Physics 2026-04-15 S. V. Bolokhov

We calculate high-order quasinormal modes with large imaginary frequencies for electromagnetic and gravitational perturbations in nearly extremal Schwarzschild-de Sitter spacetimes. Our results show that for low-order quasinormal modes, the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Shijun Yoshida , Toshifumi Futamase

The spectroscopic study of black hole quasinormal modes in gravitational-wave ringdown observations is hindered by our ignorance of which modes should dominate astrophysical signals for different binary configurations, limiting tests of…

We prove that quasinormal modes (or resonant states) for linear wave equations in the subextremal Kerr and Kerr-de Sitter spacetimes are real analytic. The main novelty of this paper is the observation that the bicharacteristic flow…

Analysis of PDEs · Mathematics 2023-12-20 Oliver Petersen , András Vasy