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Related papers: Mode coupling mechanism for late-time Kerr tails

200 papers

The time-evolution of matter fields in black hole exterior spacetimes is a well-studied subject, spanning several decades of research. However, the behavior of fields in the black hole interior spacetime, has only relatively recently begun…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Izak Thuestad , Gaurav Khanna , Richard Price

The remnant of a black hole binary merger settles into a stationary configuration by "ringing down" through the emission of gravitational waves that consist of a superposition of damped exponentials with discrete complex frequencies - the…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Matteo Della Rocca , Laura Pezzella , Emanuele Berti , Leonardo Gualtieri , Andrea Maselli

We study analytically, via the Newman-Penrose formalism, the late-time decay of linear electromagnetic and gravitational perturbations along the event horizon (EH) of black holes. We first analyze in detail the case of a Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack , Amos Ori

We investigate the behavior of a dynamical scalar field on a fixed Kerr background in Kerr-Schild coordinates using a 3+1 dimensional spectral evolution code, and we measure the power-law tail decay that occurs at late times. We compare…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mark A. Scheel , Adrienne L. Erickcek , Lior M. Burko , Lawrence E. Kidder , Harald P. Pfeiffer , Saul A. Teukolsky

We calculate the spectrum of quasinormal modes of slowly rotating Kerr-Newman black holes. Using a perturbative double expansion method, second order in rotation and first order in non-radial perturbations, we obtain the system of equations…

General Relativity and Quantum Cosmology · Physics 2023-04-20 Jose Luis Blázquez-Salcedo , Fech Scen Khoo

The weak nonlinear Kerr interaction between single photons and intense laser fields has been recently proposed as a basis for distributed optics-based solutions to few-qubit applications in quantum communication and computation. Here, we…

Quantum Physics · Physics 2009-11-13 Jeffrey H. Shapiro , Mohsen Razavi

Black hole binaries with small mass ratios will be important sources for the forthcoming Laser Interferometer Space Antenna (LISA) mission. Models of such binaries also serve as useful tools for understanding the dynamics of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Devin R. Becker , Scott A. Hughes , Gaurav Khanna

The evolution of scalar, electromagnetic and gravitational fields around spherically symmetric black hole surrounded by quintessence are studied with special interest on the late-time behavior. In the ring down stage of evolution, we find…

General Relativity and Quantum Cosmology · Physics 2012-10-02 Nijo Varghese , V. C. Kuriakose

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 investigate linear, spin-field perturbations of Kerr black holes in the extremal limit throughout the complex-frequency domain. We calculate quasi-normal modes of extremal Kerr, as well as of near-extremal Kerr, via a novel approach:…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Marc Casals , Luís F. Longo Micchi

So far analysis of the quasinormal spectrum of a massive charged scalar field in the black hole background has been limited by the regime of small \mu M and qQ, where \mu, q (M, Q) are mass and charge of the field (black hole). Here we…

General Relativity and Quantum Cosmology · Physics 2013-08-06 R. A. Konoplya , A. Zhidenko

This note discusses the late-time decay of perturbations outside extremal Reissner-Nordstrom black hole. We consider individual spherical-harmonic modes $l$ of massless scalar field. The initial data are assumed to be of compact support,…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Amos Ori

We study numerically the late-time tails of linearized fields with any spin $s$ in the background of a spinning black hole. Our code is based on the ingoing Kerr coordinates, which allow us to penetrate through the event horizon. The late…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko , Gaurav Khanna

The decay timescales of the quasinormal modes of a massive scalar field have an intriguing behavior: they either grow or decay with increasing angular harmonic numbers $\ell$, depending on whether the mass of the scalar field is small or…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Macarena Lagos , Pedro G. Ferreira , Oliver J. Tattersall

In this brief note, we revisit the study of the leading order late time decay tails of massless scalar perturbations outside an extreme Reissner-Nordstr\"om black hole. Previous authors have analysed this problem in the time domain; we…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Srijit Bhattacharjee , Bidisha Chakrabarty , David D. K. Chow , Partha Paul , Amitabh Virmani

Optimal extraction of information from gravitational-wave observations of binary black-hole coalescences requires detailed knowledge of the waveforms. Current approaches for representing waveform information are based on spin-weighted…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Bernard J. Kelly , John G. Baker

The time evolution of linear fields of spin $s = \pm 1$ and $s = \pm 2$ on Kerr black hole spacetimes are investigated by solving the homogeneous Teukolsky equation numerically. The applied numerical setup is based on a combination of…

General Relativity and Quantum Cosmology · Physics 2020-02-03 Károly Csukás , István Rácz , Gábor Zsolt Tóth

We provide a rigorous definition of quasinormal modes for the Kerr black hole. They are obtained as the discrete set of poles of the meromorphically continued cutoff resolvent. The construction combines the method of complex scaling near…

Analysis of PDEs · Mathematics 2025-07-23 Thomas Stucker

Within linearized perturbation theory, black holes decay to their final stationary state through the well-known spectrum of quasinormal modes. Here we numerically study whether nonlinearities change this picture. For that purpose we study…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Enrique Pazos , David Brizuela , Jose M. Martin-Garcia , Manuel Tiglio

We investigate the late-time tails of self-interacting (massive) scalar fields in the spacetime of dilaton black hole. Following the no hair theorem we examine the mechanism by which self-interacting scalar hair decay. We revealed that the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 R. Moderski , M. Rogatko