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Gravitational waves from astrophysical sources can interact with background electromagnetic fields, giving rise to distinctive and potentially detectable electromagnetic signatures. In this paper, we study such interactions for far-field…

General Relativity and Quantum Cosmology · Physics 2014-12-09 Alvin J. K. Chua , Priscilla Cañizares , Jonathan R. Gair

A critical review of gravitational wave theory is made. It is pointed out that the usual linear approach to the gravitational wave theory is neither conceptually consistent nor mathematically justified. Relying upon that analysis it is then…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Aldrovandi , J. G. Pereira , K. H. Vu

A rich galaxy cluster showing strong resemblance with the observed ones is simulated. Cold dark matter spectrum, Gaussian statistics, flat universe, and two components -- baryonic gas plus dark matter particles -- are considered. We have…

Astrophysics · Physics 2009-10-30 Vicent Quilis , Jose Ma. Ibanez , Diego Saez

We derive consistent equations for gravitational wave oscillations in bigravity. In this framework a second dynamical tensor field is introduced in addition to General Relativity and coupled such that one massless and one massive linear…

General Relativity and Quantum Cosmology · Physics 2017-09-25 Kevin Max , Moritz Platscher , Juri Smirnov

The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling…

General Relativity and Quantum Cosmology · Physics 2009-03-24 Napoleon Hernandez , Richard H. Price

We report on a systematic study of the dynamics of gravitational waves in full 3D numerical relativity. We find that there exists an interesting regime in the parameter space of the wave configurations: a near-linear regime in which the…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Peter Anninos , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

A method is given which renders indirect detection of strong gravitational waves possible. This is based on the reflection (collision) of a linearly polarized electromagnetic shock wave from (with) a cross polarized impulsive and shock…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mustafa Halilsoy , Ozay Gurtug

Gravitational waves deliver information in exquisite detail about astrophysical phenomena, among them the collision of two black holes, a system completely invisible to the eyes of electromagnetic telescopes. Models that predict…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Deirdre Shoemaker , Karan Jani , Lionel London , Larne Pekowsky

We calculate the ``seeing'' effect on distant sources due to a gravitational wave background. We derive the limit in strain and energy density of the gravitational wave based on the limit of detectability of this effect with the present day…

Astrophysics · Physics 2007-05-23 Francine Marleau , Glenn Starkman

We develop a unified description, via the Boltzmann equation, of damping of gravitational waves by matter, incorporating collisions. We identify two physically distinct damping mechanisms -- collisional and Landau damping. We first consider…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Gordon Baym , Subodh P. Patil , C. J. Pethick

In this manuscript we review the theoretical foundations of gravitational waves in the framework of Albert Einstein's theory of general relativity. Following Einstein's early efforts we first derive the linearised Einstein field equations…

General Relativity and Quantum Cosmology · Physics 2018-05-22 Alain Dirkes

General cylindrical waves are the simplest axisymmetrical gravitational waves that contain both $+$ and $\times$ modes of polarization. In this paper, we have studied the evolution of general cylindrical gravitational waves in the realm of…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Juliana Celestino , H. P. de Oliveira , E. L. Rodrigues

Spiral wave solutions are found in linear and weakly nonlinear irrotational water wave equations. These unsteady spiral waves evolve from suitable initial conditions; they are not induced by external forcing. In the linear case, a long-time…

Fluid Dynamics · Physics 2025-10-27 Mark J. Ablowitz , Justin T. Cole , Sean D. Nixon

The power spectrum of a homogeneous and isotropic stochastic variable, characterized by a finite correlation length, does in general not vanish on scales larger than the correlation scale. If the variable is a divergence free vector field,…

Astrophysics · Physics 2008-11-26 Chiara Caprini , Ruth Durrer

Weak field gravitational wave solutions are investigated in Brans-Dicke (BD) theory in the presence of a cosmological constant. In this setting the background geometry is not flat but asymptotically de-Sitter. We investigate the linearised…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Hatice Özer , Özgür Delice

We derive the effects of a non-zero cosmological constant $\Lambda$ on gravitational wave propagation in the linearized approximation of general relativity. In this approximation we consider the situation where the metric can be written as…

High Energy Physics - Theory · Physics 2012-09-17 José Bernabeu , Domènec Espriu , Daniel Puigdomènech

Gravitational wave predicted by General Relativity is the transverse wave of spatial strain. Several gravitational waveform signals from binary black holes and from a binary neutron star system accompanied by electromagnetic counterparts…

General Relativity and Quantum Cosmology · Physics 2019-05-02 Kai Liao , Marek Biesiada , Xi-Long Fan

In this paper, the gravitational wave generation by a slowly rotating thin-shell wormhole is considered. Since the rotating thin-shell wormhole is assumed to be an axisymmetric rigid body, the rotation axis coincides with the largest…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Sung-Won Kim

Gravitational waves are considered as metric perturbations about a curved background metric, rather than the flat Minkowski metric since several situations of physical interest can be discussed by this generalization. In this case, when the…

General Relativity and Quantum Cosmology · Physics 2008-12-21 Donato Bini , Salvatore Capozziello , Giampiero Esposito

We study gravitational waves to first and second order in amplitude in vacuum asymptotically flat spacetimes. The Einstein equations are solved to first order and these solutions are superposed to form a time-symmetric ingoing and then…

General Relativity and Quantum Cosmology · Physics 2012-07-13 J. Bicak , J. Katz , T. Ledvinka , D. Lynden-Bell