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Exact plane gravitational radiation fields are presented within the framework of general relativity and their properties are described. The physics of nonlinear elliptically polarized plane gravitational waves is developed in close analogy…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Masoud Molaei , Shant Baghram , Bahram Mashhoon

Searches for continuous gravitational waves from \textit{unknown} Galactic neutron stars provide limits on the shapes of neutron stars. A rotating neutron star will produce gravitational waves if asymmetric deformations exist in its…

High Energy Astrophysical Phenomena · Physics 2021-11-09 Brendan T. Reed , Alex Deibel , C. J. Horowitz

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

Spacetime geometry is supposed to be measured by identifying the trajectories of free test particles with geodesics. In practice, this cannot be done because, being described by Quantum Mechanics, particles do not follow trajectories. As a…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Yuri Bonder

The Siklos class of solutions of Einstein's field equations is investigated by analytical methods. By studying the behaviour of free particles we reach the conclusion that the space-times represent exact gravitational waves propagating in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky

Oscillatons are spherically symmetric solutions to the Einstein Klein Gordon (EKG) equations for soliton stars made of real time dependent scalar fields. These equations are non singular and satisfy flatness conditions asymptotically with…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Ali. Mahmoodzadeh , B. Malakolkalami

Plane electromagnetic and gravitational waves interact with particles in such a way as to cause them to oscillate not only in the transverse direction but also along the direction of propagation. The electromagnetic case is usually shown by…

General Physics · Physics 2015-05-27 Gerald E. Marsh

The advanced state of cosmological observations constantly tests the alternative theories of gravity that originate from Einstein's theory. However, this is not restricted to modifications to general relativity. In this sense, we work in…

General Relativity and Quantum Cosmology · Physics 2020-11-10 Mohsen Fathi , Mona Kariminezhad , Marco Olivares , J. R. Villanueva

Gravitational wave (GW) oscillations occur whenever there are additional tensor modes interacting with the perturbations of the metric coupled to matter. These extra modes can arise from new spin-2 fields (as in e.g. bigravity theories) or…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 Jose Beltrán Jiménez , Jose María Ezquiaga , Lavinia Heisenberg

We develop the spacetime approach to gravitational lensing by spherically symmetric perturbations of flat, cosmological constant-dominated Friedman-Robertson-Walker metrics. The geodesics of the spacetime are expressed as integral…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Thomas P. Kling , Sophia MacQueen Pooler

We investigate insterstellar gas spheres by determining the metric functions, the material distribution, and the features of particle orbits in terms of stability and geodesics. An exact solution of the Einstein's equations for interstellar…

General Relativity and Quantum Cosmology · Physics 2017-08-21 Dániel Barta

In this work numerical methods for solving Einstein's equations are developed and applied to the study of inhomogeneous cosmological models. A two-dimensional computer code is described which implements two advanced numerical methods:…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Simon D. Hern

Although cosmological solutions to Einstein's equations are known to be generically singular, little is known about the nature of singularities in typical spacetimes. It is shown here how the operator splitting used in a particular…

General Relativity and Quantum Cosmology · Physics 2009-10-22 B. K. Berger , V. Moncrief

The behaviour of a "test" electromagnetic field in the background of an exact gravitational plane wave is investigated in the framework of Einstein's general relativity. We have expressed the general solution to the de Rham equations as a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Enrico Montanari , Mirco Calura

The spacetime evolution of massless spinning particles in a Robertson-Walker background is derived using the deterministic system of equations of motion due to Papapetrou, Souriau and Saturnini. A numerical integration of this system of…

General Relativity and Quantum Cosmology · Physics 2017-08-30 C. Duval , T. Schucker

Using the Sparling form and a geometric construction adapted to spacetimes with a 2-dimensional isometry group, we analyse a quasi-local measure of gravitational energy. We then study the gravitational radiation through spacetime junctions…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Alfonso García-Parrado , Filipe C. Mena

Geodesics are studied in one of the Weyl metrics, referred to as the M--Q solution. First, arguments are provided, supporting our belief that this space--time is the more suitable (among the known solutions of the Weyl family) for…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. Herrera

In this study, the geodesic motion of a test particle along with its confinement is investigated within Cylindrically Symmetric Wormhole spacetime admitting to Closed Timelike Curves. The confinement of particles with or without angular…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Dhritimalya Roy , Ayanendu Dutta , Subenoy Chakraborty

We study the problem of test-particle motion in the Nonsymmetric Gravitational Theory (NGT) assuming the four-velocity of the particle is parallel-transported along the trajectory. The predicted motion is studied on a static, spherically…

General Relativity and Quantum Cosmology · Physics 2011-02-21 J. Legare , J. W. Moffat

Twisted gravitational waves (TGWs) are nonplanar waves with twisted rays that move along a fixed direction in space. We study further the physical characteristics of a recent class of Ricci-flat solutions of general relativity representing…

General Relativity and Quantum Cosmology · Physics 2021-01-19 Donato Bini , Carmen Chicone , Bahram Mashhoon , Kjell Rosquist