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Related papers: Anomalously small wave tails in higher dimensions

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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

In the present work we analize the behavior of 5-dimensional gravitational waves propagating on a Kaluza-Klein background and we face separately the two cases in which respectively the waves are generated before and after the process of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Emanuele Alesci , Giovanni Montani

The phenomenon of wave tails has attracted much attention over the years from both physicists and mathematicians. However, our understanding of this fascinating phenomenon is not complete yet. In particular, most former studies of the tail…

High Energy Physics - Theory · Physics 2015-06-17 Shahar Hod

In this thesis, we study emission amplitudes for the class of nonlinear processes of tails, which are processes of order $G_N^2$, and represent the effect of scattering gravitational radiation off the static background curvature, including…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Gabriel Luz Almeida

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

We study the quasinormal modes and the late-time tail behavior of scalar perturbation in the background of a black hole localized on a tensional three-brane in a world with two large extra dimensions. We find that finite brane tension…

High Energy Physics - Theory · Physics 2008-11-26 Songbai Chen , Bin Wang , Ru-Keng Su

We give a precise microlocal description of the singular profile that forms in the long-time propagation of internal waves in an effectively two-dimensional aquarium. We allow domains with corners, such as polygons appearing in the…

Analysis of PDEs · Mathematics 2025-06-18 Zhenhao Li

We investigate the asymptotic tail behavior of massive scalar fields in Schwarzschild background. It is shown that the oscillatory tail of the scalar field has the decay rate of $t^{-5/6}$ at asymptotically late times, and the oscillation…

General Relativity and Quantum Cosmology · Physics 2007-10-02 Hiroko Koyama , Akira Tomimatsu

Perturbative partial-wave amplitudes diverge in cases with a massless exchanged particle in the $t$-channel. We argue that the divergence is an artifact of perturbation theory and give a prescription for the all-orders correction factor…

High Energy Physics - Phenomenology · Physics 2025-10-13 Marta Fuentes Zamoro , Benjamín Grinstein , Pablo Quílez

In one-dimensional anharmonic lattices, we construct nonlinear standing waves (SWs) reducing to harmonic SWs at small amplitude. For SWs with spatial periodicity incommensurate with the lattice period, a transition by breaking of…

Pattern Formation and Solitons · Physics 2009-10-31 Anna Maria Morgante , Magnus Johansson , Georgios Kopidakis , Serge Aubry

The possible detection of echoes in late gravitational-wave signals is the most promising way to test horizonless alternatives to general relativistic black holes, and probe the physics of these hypothetical ultra-compact objects. While…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Vania Vellucci , Edgardo Franzin , Stefano Liberati

An inhomogeneous Kaluza-Klein compactification of a higher dimensional spacetime may give rise to an effective 4d spacetime with distinct domains having different sizes of the extra dimensions. The domains are separated by domain walls…

High Energy Physics - Theory · Physics 2008-11-26 Nelson De Leon , John Morris

In this article, spatially-structured gravitational waves are investigated. Drawing upon analogies between electrodynamics and general relativity, a new gauge is found. We investigate the polarization and degrees of freedom of the resulting…

Optics · Physics 2016-11-23 James Strohaber

Most treatments of large scale anomalies in the microwave sky are a posteriori, with unquantified look-elsewhere effects. We contrast these with physical models of specific inhomogeneities in the early universe which then generate apparent…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-07 Grigor Aslanyan , Richard Easther

Using the technique of spectral decomposition, we investigated the late-time tails of massless and massive coupled scalar fields in the background of a black hole with a global monopole. We found that due to existence of the coupling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Songbai Chen , Jiliang Jing

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

Unlike the perturbations of massless fields, the asymptotic tails of massive fields exhibit oscillations and decay slowly, following a power-law envelope. In this work, considering various scenarios admitting (either fundamental or…

General Relativity and Quantum Cosmology · Physics 2025-10-09 R. A. Konoplya , Z. Stuchlík , A. Zhidenko

The dwarf galaxies orbiting a main galaxy suffer strong tidal forces produced by its dark halo. As a consequence, substructures and tidal tails could appear in the satellites. These structures could give us information about the dark matter…

Astrophysics · Physics 2007-05-23 M. A. Gómez-Flechoso

We numerically evolve spherically symmetric solutions to the linear wave equation on some expanding Friedmann-Lema\^itre-Robertson-Walker (FLRW) spacetimes and study the respective asymptotics for large times. We find a quantitative…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Flavio Rossetti , Alex Vañó-Viñuales

In a generic spacetime a massless field propagates not just on the surface of the forward lightcone of a source, but in its interior. This inside-the-lightcone "tail radiation" is often described as having "scattered" off the spacetime…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Craig J. Copi , Klaountia Pasmatsiou , Glenn D. Starkman