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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 compare different gravitational-wave extraction methods used in three-dimensional nonlinear simulations against linear simulations of perturbations of spherical spacetimes with matter. We present results from fully general-relativistic…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Sebastiano Bernuzzi , Luca Baiotti , Giovanni Corvino , Roberto De Pietri , Alessandro Nagar

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

Linear and rotational dragging effects of gravitational waves on local inertial frames are studied in purely vacuum spacetimes. First the linear dragging caused by a simple cylindrical pulse is investigated. Surprisingly strong transversal…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Jiri Bicak , Joseph Katz , Donald Lynden-Bell

The present work investigates some exact solutions of the gravitational wave equation in some widely used cosmological spacetimes. The examples are taken from spatially flat and closed isotropic models as well as Kasner metric which is…

General Relativity and Quantum Cosmology · Physics 2021-07-06 Sushovan Mondal , Saif Ali , Shanima S , Narayan Banerjee , Golam Mortuza Hossain

A binary system, composed of a compact object orbiting around a massive central body, will emit gravitational waves which will depend on the central body's spacetime geometry. We expect that the gravitational wave observables will somehow…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Thomas P. Sotiriou , Theocharis A. Apostolatos

Wave turbulence is by nature a multiple time scale problem for which there is a natural asymptotic closure. The main result of this analytical theory is the kinetic equation that describes the long-time statistical behaviour of such…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Benoît Gay , Sébastien Galtier

The "reaction" of an extended body to the passage of an exact plane gravitational wave is discussed following Dixon's model. The analysis performed shows several general features, e.g. even if initially absent, the body acquires a spin…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Donato Bini , Pierluigi Fortini , Andrea Geralico , Antonello Ortolan

The physical properties of electromagnetic waves in the presence of a gravitational plane wave are analyzed. Formulas for the Stokes parameters describing the polarization of light are obtained in closed form. The particular case of a…

General Relativity and Quantum Cosmology · Physics 2013-05-21 Shahen Hacyan

In this paper we investigate the gravitational waves emission by stellar dynamical structures as complex systems in the quadrupole approximation considering bounded and unbounded orbits. Precisely, after deriving analytical expressions for…

General Relativity and Quantum Cosmology · Physics 2009-06-29 Ivana Bochicchio , Mariafelicia De Laurentis , Ettore Laserra

The known exact solutions of Einstein's vacuum field equations modeling the gravitational fields of pure gravitational radiation involve wave fronts which are either planar or roughly spherical. We describe a scheme designed to check…

General Relativity and Quantum Cosmology · Physics 2021-07-02 Peter A. Hogan , Dirk Puetzfeld

An approach is developed to find approximate solutions to the restricted circular three body problem. The solution is useful in approximately describing the position vectors of three spherically symmetric masses, one of which has a much…

Mathematical Physics · Physics 2007-05-23 Abu Bakr Mehmood , S. Umer Abbas , Ghulam Shabbir

We study gravitational absorption effects using effective on-shell scattering amplitudes. We develop an in-in probability-based framework involving plane- and partial-wave coherent states for the incoming wave to describe the interaction of…

High Energy Physics - Theory · Physics 2023-12-14 Rafael Aoude , Alexander Ochirov

Two new observational windows have been opened to strong gravitational physics: gravitational waves, and very long baseline interferometry. This suggests observational searches for new phenomena in this regime, and in particular for those…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Steven B. Giddings , Seth Koren , Gabriel Treviño

In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be…

Fluid Dynamics · Physics 2014-04-14 Ivan C. Christov

The emission of gravitational waves from a system of massive objects interacting on hyperbolic orbits is studied in the quadrupole approximation. Analytic expressions are derived for the gravitational radiation luminosity, the total energy…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , M. De Laurentis , F. De Paolis , G. Ingrosso , A. Nucita

We introduce a novel approach for detecting gravitational waves through their influence on the shape of resolved astronomical objects. This method, complementary to pulsar timing arrays and astrometric techniques, explores the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-22 Giorgio Mentasti , Carlo R. Contaldi

This work is devoted to a systematic exposition of the dynamics of a rigid body, considered as a system with kinematic constraints. Having accepted the variational problem in accordance with this, we no longer need any additional postulates…

Classical Physics · Physics 2023-09-06 Alexei A. Deriglazov

Non radial oscillations of neutron stars are associated with the emission of gravitational waves. The characteristic frequencies of these oscillations can be computed using the theory of stellar perturbations, and they are shown to carry…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Valeria Ferrari

The polarization of electromagnetic waves in the presence of a gravitational wave is analyzed. The rotation of the polarization angle and the Stokes parameters are deduced. A possible application to the detection of stochastic background of…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Shahen Hacyan