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We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti-de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey

It has long been known that no static, spherically symmetric, asymptotically flat Klein-Gordon scalar field configuration surrounding a nonrotating black hole can exist in general relativity. In a series of previous papers we proved that,…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Dario Nunez , Olivier Sarbach

Disturbing of a spacetime geometry may result in the appearance of an oscillating and damped radiation - the so-called quasinormal modes. Their periods of oscillations and damping coefficients carry unique information about the mass and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski , Edward Malec , Zdobyslaw Swierczynski

We generalize the Chern-Simons modified gravity to the metric-affine case and impose projective invariance by supplementing the Pontryagin density with homothetic curvature terms which do not spoil topologicity. The latter is then broken by…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Simon Boudet , Flavio Bombacigno , Gonzalo J. Olmo , Paulo J. Porfirio

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

Quasinormal modes for scalar field perturbations of a Schwarzschild-de Sitter (SdS) black hole are investigated. An analytical approximation is proposed for the problem. The quasinormal modes are evaluated for this approximate model in the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 V. Suneeta

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 present an exhaustive analysis of scalar, electromagnetic and gravitational perturbations in the background of a Schwarzchild-de Sitter spacetime. The field propagation is considered by means of a semi-analytical (WKB) approach and two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Molina , E. Abdalla , A. Saa

Motivated by results of recent analytic studies, we present a numerical investigation of the late-time dynamics of scalar test fields on Kerr backgrounds. We pay particular attention to the issue of mixing of different multipoles and their…

General Relativity and Quantum Cosmology · Physics 2009-12-30 William Krivan

Using Leaver's continue fraction and time domain method, we study the wave dynamics of phantom scalar perturbation in a Schwarzschild black string spacetime. We find that the quasinormal modes contain the imprint from the wavenumber $k$ of…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Songbai Chen , Jiliang Jing

We present a concise review of known analytic results for quasinormal modes of black holes and related spacetimes. Our emphasis is on those regimes where the perturbation equations admit exact or perturbative solutions, providing insights…

General Relativity and Quantum Cosmology · Physics 2025-04-08 S. V. Bolokhov , Milena Skvortsova

The retarded Green function for linear field perturbations of black hole spacetimes is notoriously difficult to calculate. One of the difficulties is due to a Dirac-$\delta$ divergence that the Green function possesses when the two…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Marc Casals , Brien C. Nolan , Adrian C. Ottewill , Barry Wardell

We extend the frequency-domain analysis of quasinormal modes in a dynamical, spherically symmetric black hole spacetime undergoing constant-rate mass evolution. In particular, we report a novel feature of the spectrum: the presence of…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Lodovico Capuano , Thomas Lovo , Gorka Prieto-Varela , Subhodeep Sarkar , Adrien Kuntz , Enrico Barausse , Dawood Kothawala

We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard GR form (e.g. Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Sergi Sirera , Johannes Noller

We consider the time evolution of massless gravitino perturbations in Schwarzschild black holes, and show that as in the case of fields of other values of spin, the evolution comes in three stages, after an initial outburst as a first…

General Relativity and Quantum Cosmology · Physics 2011-02-09 Owen Pavel Fernández Piedra

We show that retarded Green's functions of black hole spacetimes can be expressed as a convergent mode sum everywhere in spacetime. At late times a quasinormal mode sum converges, while at early times a Matsubara (or, Euclidean) mode sum…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Paolo Arnaudo , Javier Carballo , Benjamin Withers

The late-time behavior of a scalar field on fixed Kerr background is examined in a numerical framework incorporating the techniques of conformal compactification and hyperbolic initial value formulation. The applied code is 1+(1+2) as it is…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Istvan Racz , Gabor Zsolt Toth

We study two singular spectral components of the Green's function of a Schwarzschild black hole and their interpretation in the frequency domain: (i) the low-frequency branch cut, which yields corrections to Price's law tails in the form of…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Romeo Felice Rosato , Marina De Amicis , Paolo Pani

Schwarzschild black-hole interiors, bounded by event horizons and terminated by spacelike singularities, are regions where all physical observers are inevitably destroyed. In the geometric optics approximation, waves follow null geodesics…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Jeff Steinhauer , Kyriakos Destounis , Richard Brito

Understanding the physical significance and spectral stability of black hole quasinormal modes is fundamental to high-precision spectroscopy with future gravitational wave detectors. Inspired by Mashhoon's idea of relating quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Sebastian H. Völkel