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Related papers: Comments on tails in Schwarzschild spacetimes

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We study the dominant late-time behaviors of massive scalar fields in static and spherically symmetric spacetimes. Considering the field evolution in the far zone where the gravitational field is weak, we show under which conditions the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Hiroko Koyama , Akira Tomimatsu

Nonlinear tails in black hole perturbations, arising from second-order effects, present a distinct departure from the well-known Price tail of linear theory. We present an analytical derivation of the power law indices and amplitudes for…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Siyang Ling , Sabeela Shah , Sam S. C. Wong

The late-time dynamics of massive spin-2 fields in flat and curved spacetimes are studied analytically. We find that the time evolutions of the massive fields are characterized by oscillatory power-law decaying tails at asymptotically late…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shahar Hod

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

Consider a spherically symmetric spacetime generated by a self-gravitating massless scalar field $\phi$ and let $\psi$ be a test (nonspherical) massless scalar field propagating on this dynamical background. Gundlach, Price, and Pullin…

General Relativity and Quantum Cosmology · Physics 2010-05-11 Piotr Bizoń , Andrzej Rostworowski

Gravitational waves in the linear approximation propagate in the Schwarzschild spacetime similarly as electromagnetic waves. A fraction of the radiation scatters off the curvature of the geometry. The energy of the backscattered part of an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Edward Malec , Gerhard Schaefer

We study the late-time relaxation of a perturbed Schwarzschild black hole, driven by a source term representing an infalling particle in generic orbits. We consider quasi-circular and eccentric binaries, dynamical captures and radial…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Marina De Amicis , Simone Albanesi , Gregorio Carullo

The quasinormal modes (QNMs) and the late-time behavior of arbitrary spin fields are studied in the background of a Schwarzschild black hole with a global monopole (SBHGM). It has been shown that the real part of the QNMs for a SBHGM…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Qiyuan Pan , Jiliang Jing

Gravitational wave astronomy plays a pivotal role in testing the dynamics of gravity in strong-field regimes and probing the nature of black holes. Motivated by recent studies on late-time tails in gravitational waves, we examine the…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Rong-Zhen Guo , Qing-Guo Huang

The tails of gravitational waves are caused by scattering of linear waves onto the space-time curvature generated by the total mass-energy of the source. Quite naturally, the tails of tails are caused by curvature scattering of the tails of…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Luc Blanchet

We consider the late-time tails of spherical waves propagating on even-dimensional Minkowski spacetime under the influence of a long range radial potential. We show that in six and higher even dimensions there exist exceptional potentials…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Piotr Bizoń , Tadeusz Chmaj , Andrzej Rostworowski

We analyze the late-time decay of scalar perturbations in extremal Reissner-Nordstrom spacetime. We consider individual spherical-harmonic modes $l$ of a test massless scalar field, restricting our attention to initial data of compact…

General Relativity and Quantum Cosmology · Physics 2018-01-16 Orr Sela

We study the evolution of massless scalar waves propagating on spherically symmetric spacetimes with a non-zero cosmological constant. Considering test fields on both Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter backgrounds, we…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Patrick R. Brady , Chris M. Chambers , William Krivan , Pablo Laguna

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 examine perturbations of a massive scalar field around spherically symmetric, brane-localized black holes. Although the ringdown and asymptotic tails of various brane-world black holes have been extensively studied, there has been no…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Alexey Dubinsky

Massive fields can exist in long-lived configurations around black holes. We examine how the gravitational wave signal of a perturbed black hole is affected by such `dirtiness' within linear theory. As a concrete example, we consider the…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Juan Carlos Degollado , Carlos A. R. Herdeiro

It is well known that waves propagating in a nontrivial medium develop ``tails''. However, the exact form of the late-time tail has so far been determined only for a narrow class of models. We present a systematic analysis of the tail…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod

We consider the scattering of gravitational waves off a Schwarzschild black hole in $f(R)$ gravity. We show that the reflection and transmission coefficients for tensor waves are the same as in General Relativity. While the scalar waves,…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Dan B. Sibandze , Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki , Peter K. S. Dunsby

We investigate the late-time tail behavior in gravitational waves from merging eccentric binary black holes (BBH) using black hole perturbation theory. For simplicity, we focus only on the dominant quadrupolar mode of the radiation. We…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Tousif Islam , Guglielmo Faggioli , Gaurav Khanna , Scott E. Field , Maarten van de Meent , Alessandra Buonanno

A time-symmetric Cauchy slice of the extended Schwarzschild spacetime can be evolved into a foliation of the $r>3m/2$-region of the spacetime by maximal surfaces with the requirement that time runs equally fast at both spatial ends of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 R. Beig , N. Ó Murchadha