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A model of three-body motion is developed which includes the effects of gravitational radiation reaction. The radiation reaction due to the emission of gravitational waves is the only post-Newtonian effect that is included here. For…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zachary E. Wardell

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

Gravitational waves generated by inspiralling compact binaries are investigated to the second--post-Newtonian (2PN) approximation of general relativity. Using a recently developed 2PN-accurate wave generation formalism, we compute the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Thibault Damour , Bala R. Iyer

A quantum measurement-like event can produce any of a number of macroscopically distinct results, with corresponding macroscopically distinct gravitational fields, from the same initial state. Hence the probabilistically evolving…

Quantum Physics · Physics 2013-05-07 Adrian Kent

The response of a massive body to gravitational waves is described on the microscopic level. The results shed a new light on the commonly used oscillator model. It is shown that apart from the non-resonant tidal motion the energy transfer…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ludger Hannibal , Jens Warkall

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

At the present moment, there is an unresolved problem in the physics of cosmic rays. The problem concerns the origin of the ultrahigh energy cosmic rays. One of the possible mechanisms of the particle's birth with such energy is bound to…

General Relativity and Quantum Cosmology · Physics 2020-11-05 M. A. Misyura

The gravitational waves emitted by binary systems with extreme-mass ratios carry unique astrophysical information that can only be detected by space-based detectors like eLISA. To that end, a very accurate modelling of the system is…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Priscilla Canizares , Carlos F. Sopuerta

Using adiabatic point-particle black hole perturbation theory, we simulate plausible gravitational wave~(GW) signatures in two exotic scenarios (i) where a small black hole is emitted by a larger one ('black hole emission') and (ii) where a…

General Relativity and Quantum Cosmology · Physics 2024-07-25 Tousif Islam , Gaurav Khanna , Steven L. Liebling

Every emission of radiation in gravity also includes a nonwavelike component that leaves a permanent change in proper distances of the spacetime it travels through. This phenomenon is known as gravitational displacement memory. Building up…

General Relativity and Quantum Cosmology · Physics 2025-07-21 Lavinia Heisenberg , Benedetta Rosatello , Guangzi Xu , Jann Zosso

In this manuscript, we examine the gravitational radiation emitted by binary systems using an Unruh-DeWitt detector coupled to gravitons. Recoil is incorporated into the system via a kinetic energy term in the energy gap of the detector. We…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Morgan H. Lynch

The post-Newtonian approximation is a method for solving Einstein's field equations for physical systems in which motions are slow compared to the speed of light and where gravitational fields are weak. Yet it has proven to be remarkably…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Clifford M. Will

An exact non-perturbative model of a gravitational wave with pure radiation is constructed. It is shown that the presence of dust matter in this model contradicts Einstein's field equations. Exact solution of Einstein equations for…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Konstantin E. Osetrin , Vladimir Y. Epp , Altair E. Filippov

Long-wavelength gravitational waves can induce significant temperature anisotropy in the cosmic microwave background. Distinguishing this from anisotropy induced by energy density fluctuations is critical for testing inflationary cosmology…

Astrophysics · Physics 2009-09-25 R. Crittenden , J. R. Bond , R. L. Davis , G. Efstathiou , P. J. Steinhardt

For slowly spinning matter the rate of energy loss via radiation of gravitational waves is estimated in General Relativity (GR) within a generally covariant superenergy approach. This estimation differs from Einstein's Quadrupole Formula…

General Relativity and Quantum Cosmology · Physics 2008-12-23 Yury E. Pokrovsky

Gravitational wave solutions to Einstein's equations and their generation are examined in D-dimensional flat spacetimes. First the plane wave solutions are analyzed; then the wave generation is studied with the solution for the metric…

High Energy Physics - Theory · Physics 2009-11-07 Vitor Cardoso , Oscar J. C. Dias , Jose' P. S. Lemos

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Luc Blanchet

Cosmic-rays are charged particles moving in magnetic fields. They not only emit well-known synchrotron photons but also gravitational radiation. We clarify the characteristics of the gravitational wave signal in this specific situation and…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Aurélien Barrau , Juan García-Bellido , Killian Martineau , Daryna Yushchenko

We describe the properties of evanescent gravitational waves (EGWs)---wave solutions of Einstein equations which decay exponentially in some direction while propagating in another. Evanescent waves are well-known in acoustics and optics and…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-30 Sebastian Golat , Eugene A. Lim , Francisco J. Rodríguez-Fortuño

The magnetic field due to an axially symmetric, hot and highly conducting plasma, taken as an ideal magnetohydrodynamic fluid, surrounding a slow rotating compact gravitational object is studied within the context of Einstein-Maxwell field…

General Relativity and Quantum Cosmology · Physics 2017-10-02 Babur M. Mirza
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