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Gravitational waves emitted by kinks on infinite strings are investigated using detailed estimations of the kink distribution on infinite strings. We find that gravitational waves from kinks can be detected by future pulsar timing…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Masahiro Kawasaki , Koichi Miyamoto , Kazunori Nakayama

We study geodesic motion in expanding spherical impulsive gravitational waves propagating in a Minkowski background. Employing the continuous form of the metric we find and examine a large family of geometrically preferred geodesics. For…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jiri Podolsky , Roland Steinbauer

We describe the properties of evanescent gravitational waves (EGWs)---wave solutions of Einstein equations which decay exponentially in some direction while propagating in another. Evanescent waves are well-known in acoustics and optics and…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-30 Sebastian Golat , Eugene A. Lim , Francisco J. Rodríguez-Fortuño

We establish a generic, fully-relativistic formalism to study gravitational-wave emission by extreme-mass-ratio systems in spherically-symmetric, non-vacuum black-hole spacetimes. The potential applications to astrophysical setups range…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Vitor Cardoso , Kyriakos Destounis , Francisco Duque , Rodrigo Panosso Macedo , Andrea Maselli

Applying a simple harmonic map method to the cylindrically symmetric Einstein-Maxwell system, we obtain exact solutions representing strong nonlinear interaction between gravitational waves and electromagnetic waves in the case without any…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Takashi Mishima , Shinya Tomizawa

We present a new class of exact self-similar solutions possessing cylindrical or spherical symmetry in Born-Infeld theory. A cylindrically symmetric solution describes the propagation of a cylindrical electromagnetic disturbance in a…

Classical Physics · Physics 2015-06-15 E. Yu. Petrov , A. V. Kudrin

We study the propagation of gravitational waves carrying arbitrary information through isotropic cosmologies. The waves are modelled as small perturbations of the background Robertson-Walker geometry. The perfect fluid matter distribution…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. A. Hogan , E. M. O'Shea

Adaptive techniques are crucial for successful numerical modeling of gravitational waves from astrophysical sources such as coalescing compact binaries, since the radiation typically has wavelengths much larger than the scale of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kimberly C. B. New , Dae-Il Choi , Joan M. Centrella , Peter MacNeice , Mijan F. Huq , Kevin Olson

In general relativity (GR), linearized gravitational waves propagating in empty Minkowski spacetime along a fixed spatial direction have the property that the wave front is the Euclidean plane. Beyond the linear regime, exact plane waves in…

General Relativity and Quantum Cosmology · Physics 2018-03-23 Donato Bini , Carmen Chicone , Bahram Mashhoon

A sort of gravitational waveguide effect in cosmology could explain some anomalous phenomena which cannot be understood by the current gravitational lensing models as the existence of "twins" objects with similar spectra and redshifts posed…

Astrophysics · Physics 2007-05-23 S Capozziello , G Iovane

We consider several models of nonlinear wave equations subject to very strong damping and quasi-periodic external forcing. This is a singular perturbation, since the damping is not the highest order term. We study the existence of response…

Analysis of PDEs · Mathematics 2015-01-27 Renato C. Calleja , Alessandra Celletti , Livia Corsi , Rafael de la Llave

Wave propagation of field disturbances is ubiquitous. The electromagnetic and gravitational are cousin theories in which the corresponding waves play a relevant role to understand several related physical. It has been established that small…

General Relativity and Quantum Cosmology · Physics 2017-11-22 W. Barreto , H. P. de Oliveira , E. L. Rodrigues

Gravitational waves, as predicted by Einstein's general relativity theory, appear as ripples in the fabric of spacetime traveling at the speed of light. We prove that the propagation of small amplitude gravitational waves in a curved…

Gravitational waves are messengers carrying valuable information about their sources. For sources at cosmological distances, the waves will contain also the imprint left by the intervening matter. The situation is in close analogy with…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Pablo Laguna , Shane L. Larson , David Spergel , Nicolas Yunes

Stellar pulsations in rotating relativistic stars are reviewed. Slow rotation approximation is applied to solving the Einstein equations. The rotational effects on the non-axisymmetric oscillations are explicitly shown in the polar and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasufumi Kojima

We present an exact three-dimensional wave solution to the shearing sheet equations of motion. The existence of this solution argues against transient amplification as a route to turbulence in unmagnetized disks. Moreover, because the…

Astrophysics · Physics 2008-11-26 Steven A. Balbus , John F. Hawley

The coordinate asymptotics of the wave function for the problem of scattering of three particles with Coulomb interaction is constructed. Representation of hyperspherical functions is used to reduce the Schr\"odinger equation to a system of…

Mathematical Physics · Physics 2023-08-23 S. L. Yakovlev

We examine gravitational waves in an isolated axi--symmetric reflexion symmetric NGT system. The structure of the vacuum field equations is analyzed and the exact solutions for the field variables in the metric tensor are found in the form…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat , D. C. Tatarski

A certain class of exact solutions of Einstein Maxwell spacetime in general relativity is discussed which demonstrates at the level of theory that, when certain parametric resonance condition is met, the interaction of electromagnetic field…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Ruodi Yan , Yun Kau Lau

Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. The aim of this paper is to compare the gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alessandro Nagar , Jose A. Font , Olindo Zanotti , Roberto De Pietri