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Alternative theories of gravity predict up to six distinct polarization modes for gravitational waves. Strong gravitational lensing of gravitational waves allows us to probe the polarization content of these signals by effectively…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Ignacio Magaña Hernandez

We discuss the possibility that, besides the usual gravitational lensing, there may exist a sort of gravitational waveguiding in cosmology which could explain some anomalous phenomena which cannot be understood by the current gravitational…

It is presented a brief review on gravitational waves (GWs). It is shown how the wave equation is obtained from Einstein's equations and how many and how are the polarization modes of these waves. It is discussed the reasons why GWs sources…

High Energy Astrophysical Phenomena · Physics 2013-05-14 J. C. N. de Araujo

The article is a translation of authors paper printed earlier in the inaccessible edition and summarizing the results of research of gravitational waves damping problem in the cosmologic plasma due to the different interactions of…

General Relativity and Quantum Cosmology · Physics 2010-12-30 Yu. G. Ignatyev , V. Yu. Shulikovsky

In terms of gravitational solitons, we study gravitational non-linear effects of gravitational solitary waves such as Faraday rotation. Applying the Pomeransky's procedure for inverse scattering method, which has been recently used for…

General Relativity and Quantum Cosmology · Physics 2014-08-20 Shinya Tomizawa , Takashi Mishima

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Mátyás Vasúth , János Majár

By a bifurcation argument we prove that the capillary-gravity Whitham equation features asymmetrical periodic travelling wave solution of arbitrarily small amplitude. Such waves exist only in the weak surface tension regime…

Analysis of PDEs · Mathematics 2024-01-23 Ola Mæhlen , Douglas Svensson Seth

We present a numerical study of three-dimensional gravity-capillary standing waves by using cubic and quintic truncated Hamiltonian formulations and the Craig-Sulem expansion of the Dirichlet-Neumann operator (DNO). The resulting models are…

Fluid Dynamics · Physics 2025-12-30 Xin Guan

The purpose of this paper is to study the relations between different concepts of dispersive solution for the Vlasov-Poisson system in the gravitational case. Moreover we give necessary conditions for the existence of partially and totally…

Mathematical Physics · Physics 2012-05-31 Simone Calogero , Juan Calvo , Óscar Sánchez , Juan Soler

We examine the Newtonian potential in gravitational cohomology. This is given by a symmetric, two-index tensor field, which satisfies the wave equation in empty space. Furthermore, the associated gravitational field strength, obtained by…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Richard Atkins

A simple counterexample against the Vlasov equation is put forward, in which a magnetized plasma is perturbed by an electromagnetic standing wave.

General Physics · Physics 2009-04-21 C. Y. Chen

In the weak field approximation the gravitational wave is approximated as a linear wave, which ignores the nonlinear effect. In this paper, we present an exact general solution of the cylindrical gravitational wave. The exact solution of…

General Physics · Physics 2020-06-12 Yu-Zhu Chen , Yu-Jie Chen , Shi-Lin Li , Wu-Sheng Dai

We estimate the degree of circular polarization for the gravitational waves generated during the electroweak and QCD phase transitions from the kinetic and magnetic helicity generated by bubble collisions during those cosmological phase…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-19 Leonard Kisslinger , Tina Kahniashvili

The relationship between pulsar-like compact stars and gravitational waves is briefly reviewed. Due to regular spins, pulsars could be useful tools for us to detect ~nano-Hz low-frequency gravitational waves by pulsar-timing array…

High Energy Astrophysical Phenomena · Physics 2011-09-14 K. J. Lee , R. X. Xu , G. J. Qiao

Gravitational fields invariant for a 2-dimensional Lie algebra of Killing fields [ X,Y] =Y, with Y of light type, are analyzed. The conditions for them to represent gravitational waves are verified and the definition of energy and…

General Relativity and Quantum Cosmology · Physics 2014-11-17 F. Canfora , G. Vilasi , P. Vitale

In the framework of the debate on high-frequency gravitational waves (GWs), after a review of GWs in standard General Relativity, which is due for completness, the possibility of merging such a traditional analysis with the Hyperspace…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 Christian Corda , Giorgio Fontana , Gloria Garcia Cuadrado

We generalize our previous linear result [1] in obtaining gravitational waves from our piecewise flat model for gravity in 3+1 dimensions to exact piecewise flat configurations describing exact planar gravitational waves. We show explicitly…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Maarten van de Meent

There are conflicting statements in the literature about the gravitational Faraday rotation of the plane of polarization of polarized electromagnetic radiation travelling through a gravitational wave. This issue is reconsidered using a…

Astrophysics · Physics 2008-11-26 Valerio Faraoni

The new generalized kinetic equation is offered. This equation represents a hybrid Shakhov's equation and ellipsoidal statistical Holway's equation. Equation constants are expressed through such physically significant quantities, as…

Fluid Dynamics · Physics 2014-01-21 A. V. Latyshev , A. A. Yushkanov

The present study describes, first, an efficient algorithm for computing capillary-gravity solitary waves solutions of the irrotational Euler equations with a free surface and, second, provides numerical evidences of the existence of an…

Fluid Dynamics · Physics 2020-02-20 Didier Clamond , Denys Dutykh , Angel Duran