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Related papers: Example of cross-polarized standing gravitational …

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Bialynicki-Birula and Charzynski argued that a gravitational wave emitted during the merger of a black hole binary may be approximated by a circularly polarized wave which may in turn trap particles [1]. In this paper we consider particle…

General Relativity and Quantum Cosmology · Physics 2025-05-19 P-M. Zhang , M. Elbistan , P. A. Horvathy

We construct two-dimensional steady periodic hydroelastic waves with vorticity that propagate on water of finite depth under a deformable floating elastic plate which is modeled by using the special Cosserat theory of hyperelastic shells…

Analysis of PDEs · Mathematics 2024-02-07 Bogdan-Vasile Matioc , Emilian Parau

The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave…

Astrophysics · Physics 2010-04-21 Salvatore Capozziello , Mariafelicia De Laurentis

We expand on a previous study, offering a generalized wave function associated with the parabolic cylinder function and a connection with a two-particle position-space wave function. We also provide an explicit formula for a wave function…

Classical Analysis and ODEs · Mathematics 2018-05-29 Alexander E Patkowski

Spinorial formalism is used to map every electromagnetic wave into the gravitational wave (within the linearized gravity). In this way we can obtain the gravitational counterparts of Bessel, Laguerre-Gauss, and other light beams carrying…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

We analyze equations describing gravitational waves in the Myers-Perry and Gibbons-Lu-Page-Pope geometries with arbitrary rotation parameters. Assuming that at least one rotation parameter vanishes, we demonstrate full separability of…

High Energy Physics - Theory · Physics 2025-11-21 Oleg Lunin

It was recently shown that the time variation of the polarization of electromagnetic waves from pulsars can be used, in cross-correlation with pulsar timing, to probe the chirality of an isotropic gravitational wave background. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-30 Keisuke Inomata , Marc Kamionkowski

We study periodic, two-dimensional, gravity-capillary traveling wave solutions to a viscous shallow water system posed on an inclined plane. While thinking of the Reynolds and Bond numbers as fixed and finite, we vary the speed of the…

Analysis of PDEs · Mathematics 2024-11-22 Noah Stevenson

We investigate the propagation of the gravitational waves in a cosmological background. Based on the framework of spatially covariant gravity, we derive the general quadratic action for the gravitational waves. The spatial derivatives of…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Xian Gao , Xun-Yang Hong

We investigate the gravitational waves phenomena in the geometric scalar theory of gravity (GSG) that belongs to a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the…

General Relativity and Quantum Cosmology · Physics 2019-05-16 J. D. Toniato , M. Novello

The nonlinear interaction between electromagnetic, electrostatic and gravitational waves in a Vlasov plasma is reconsidered. By using a orthonormal tetrad description the three-wave coupling coefficients are computed. Comparing with…

General Relativity and Quantum Cosmology · Physics 2015-05-14 G. Brodin , M. Forsberg , M. Marklund , D. Eriksson

Using an effective one body approach we describe in detail gravitational waves from classical three body problem on a non-rotating straight line and derive their basic physical characteristics. Special attention is paid to the irregular…

High Energy Astrophysical Phenomena · Physics 2016-09-16 Plamen P Fiziev

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is…

General Relativity and Quantum Cosmology · Physics 2019-08-16 Júnior Diniz Toniato

The canonical quantization of the essentially nonlinear midisuperspace model describing cylindrically symmetric gravitational waves with two polarizations is presented. A Fock space type representation is constructed. It is based on a…

General Relativity and Quantum Cosmology · Physics 2009-10-30 D. Korotkin , H. Samtleben

A class of solutions of the gravitational field equations describing vacuum spacetimes outside rotating cylindrical sources is presented. A subclass of these solutions corresponds to the exterior gravitational fields of rotating cylindrical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bahram Mashhoon , James C. McClune , Enrique Chavez , Hernando Quevedo

We have previously discussed the characteristics of the gravitational waves (GW) and have, theoretically, shown that, like the corresponding electromagnetic (EM) waves, they also demonstrate, under certain conditions, holographic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Bar

We give a higher even dimensional extension of vacuum colliding gravitational plane waves with the combinations of collinear and non-collinear polarized four-dimensional metric. The singularity structure of space-time depends on the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Metin Gurses , Emre O. Kahya , Atalay Karasu

Hamilton-Jacobi theory provides a natural starting point for a covariant description of the gravitational field. Using a spatial gradient expansion, one may solve for the phase of the wavefunction by using a line-integral in superspace.…

Astrophysics · Physics 2007-05-23 D. S. Salopek

The geometric optics approximation traditionally used to study the propagation of gravitational waves on a curved background, breaks down in the vicinity of compact and extended astrophysical objects, where wave-like effects like diffusion…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 Giulia Cusin , Ruth Durrer , Pedro G. Ferreira

The description of gravitational waves as explosion and implosion waves as predicted by Weber and Wheeler [{\it Rev. Mod. Phys. {\bf 29} 509 (1957)}] in Einstein and Rosen spacetime, has recently been confirmed following observations by the…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Jean Jules Defo , Victor Kamgang Kuetche