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We study the interaction between gravitational waves and a quantum two-level system consisting of a spin 1/2 particle using the formalism of the proper detector frame. This approach highlights the effects of gravitational waves on both the…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Matteo Luca Ruggiero

Based on the relationship between proper distance and coordinate distance, the geometrical phenomenon caused by the passing gravitational waves can not be observed locally. The electromagnetic wave equations in the background gravitational…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Wenyu Wang , Yang Xu

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

In a consistent description of the quantum measurement process, whether the wave or particle-like aspect of a system is revealed depends on the details of the measurement chain, and cannot be interpreted as an objective fact about the…

Quantum Physics · Physics 2025-12-15 Hudson A. Loughlin , Germain Tobar , Evan D. Hall , Vivishek Sudhir

It has been argued that the energy content in time varying spacetimes can be obtained by using the approximate Lie symmetries of the geodesics equations in that spacetime. When applied to cylindrical gravitational waves, it gives a…

Astrophysics of Galaxies · Physics 2009-03-11 Asghar Qadir

We present quantities which characterize the sensitivity of gravitational-wave observatories to sources at cosmological distances. In particular, we introduce and generalize the horizon, range, response, and reach distances. These…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-19 Hsin-Yu Chen , Daniel E. Holz , John Miller , Matthew Evans , Salvatore Vitale , Jolien Creighton

We discuss the quantum mechanical description of a gravitational wave interacting with a cavity electromagnetic field. Quantum fluctuations of the gravitational vacuum induce squeezing in the optical field. Moreover, this squeezing…

Quantum Physics · Physics 2020-06-19 Thiago Guerreiro

The models currently used in the detection of gravitational waves (GWs) either do not consider a relative motion between the center-of-mass of the source and the observer, or usually only consider its effect on the frequencies of GWs.…

High Energy Astrophysical Phenomena · Physics 2020-04-28 Alejandro Torres-Orjuela , Xian Chen , Zhoujian Cao , Pau Amaro-Seoane , Peng Peng

Within the closed universe, we obtain the amplitude and frequency of gravitational waves in the terms of discrete wave numbers, wave propagation time, and cosmological constant using the deviation equation in the first-order perturbed…

General Relativity and Quantum Cosmology · Physics 2021-05-27 Jafar Khodagholizadeh , Amir H. Abbassi , Ali Vahedi , Komeil Babaei

A gravitational wave traversing the line of sight to a distant source produces a frequency shift which contributes to redshift space distortion. As a consequence, gravitational waves are imprinted as density fluctuations in redshift space.…

Cosmology and Nongalactic Astrophysics · Physics 2009-06-30 Somnath Bharadwaj , Tapomoy Guha Sarkar

The question whether gravitational waves are quantised or not can in principle be answered by the help of correlation measurements. If the gravitational waves are quantised and they are generated by the change of the background metrics then…

General Relativity and Quantum Cosmology · Physics 2016-08-31 I. Lovas

Astrometric observations can, in principle, be used to detect gravitational waves. In this paper we give a practical overview of the gravitational wave effects which can be expected specifically in small-field astrometric data. Particular…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Robin Geyer , Sven Zschocke , Michael Soffel , Sergei Klioner , Lennart Lindegren , Uwe Lammers

We investigate the influence of a gravitational wave background on particles in circular motion. We are especially interested in waves leading to stationary orbits. This consideration is limited to circular orbits perpendicular to the…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Manfried Faber , Martin Suda

We derive a simple relationship between the energy emitted in gravitational waves for a narrowband source and the distance to which that emission can be detected by a single detector. We consider linearly polarized, elliptically polarized,…

General Relativity and Quantum Cosmology · Physics 2013-04-02 Patrick J. Sutton

We derive the effects of a non-zero cosmological constant $\Lambda$ on gravitational wave propagation in the linearized approximation of general relativity. In this approximation we consider the situation where the metric can be written as…

High Energy Physics - Theory · Physics 2012-09-17 José Bernabeu , Domènec Espriu , Daniel Puigdomènech

The effect of gravitational wave of cosmological wavelength on the gravitational lensing is investigated. When the source, deflector, and observer are aligned in a highly symmetric configuration, an Einstein ring will be observed by the…

General Relativity and Quantum Cosmology · Physics 2021-11-04 Wenshuai Liu

We study the effect of a cosmological constant $\Lambda$ on the propagation and detection of gravitational waves. To this purpose we investigate the linearised Einstein's equations with terms up to linear order in $\Lambda$ in a de Sitter…

Astrophysics · Physics 2009-02-26 J. Näf , P. Jetzer , M. Sereno

This article demonstrates that additionally to the well-known velocity memory effect, a vacuum gravitational plane wave can also induce a displacement memory on a couple of test particles. A complete classification of the conditions under…

General Relativity and Quantum Cosmology · Physics 2024-07-25 Jibril Ben Achour , Jean-Philippe Uzan

Gravitational waves, although generally associated with extremely microscopic effects, can displace by hundreds of kilometers the pulsar interstellar scintillation patterns that bathe the Earth. The combination of the pulsar and the…

Astrophysics · Physics 2008-02-03 Redouane Fakir

Gravitational waves affect the observed direction of light from distant sources. At telescopes, this change in direction appears as periodic variations in the apparent positions of these sources on the sky; that is, as proper motion. A wave…

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