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Related papers: Memory Effect of Plane Gravitational Wave Pulses

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We show that if the visible universe is a membrane embedded in a higher-dimensional space, particles in uniform motion radiate gravitational waves because of spacetime lumpiness. This phenomenon is analogous to the electromagnetic…

High Energy Physics - Theory · Physics 2008-11-26 Vitor Cardoso , Marco Cavaglia , Mario Pimenta

Memory of gravitational waves in asymptotically-flat spacetimes that are solutions of the Einstein vacuum equations is of purely electric parity, no magnetic parity memory can occur. We show this by investigating what happens for various…

General Relativity and Quantum Cosmology · Physics 2019-01-02 Lydia Bieri

The Gaia mission offers a new opportunity to search for the low frequency gravitational wave background using astrometric measurements. In this paper, the astrometric effect of gravitational waves is reviewed, with a particular focus on the…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Deyan P. Mihaylov , Christopher J. Moore , Jonathan R. Gair , Anthony Lasenby , Gerard Gilmore

The gravitational waves emitted (some time) after two black holes merge are well described by the theory of linear perturbations on a spacetime characterized by the mass and spin of the remnant. However, in the very early stages right after…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Jaime Redondo-Yuste , David Pereñiguez , Vitor Cardoso

In this paper, we investigate gravitational waves beyond the linear approximation, focusing on second-order contributions sourced by linearized waves in the transverse-traceless (TT) gauge. A general spacetime metric is constructed, and…

General Relativity and Quantum Cosmology · Physics 2025-05-06 M. A. Misyura

In the current work we investigate the propagation of electromagnetic waves in the field of gravitational waves. Starting with simple case of an electromagnetic wave travelling in the field of a plane monochromatic gravitational wave we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. G. Polnarev , D. Baskaran

It is well known that energy fluxes will produce gravitational wave memory. The gravitational wave memory produced by background including cosmic microwave background (CMB), cosmic neutrino background (C$\nu$B), and gravitational wave…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Zhoujian Cao , Xiaokai He , Zhi-Chao Zhao

Zel'dovich and Polnarev, in their seminal paper [1] suggested that a gravitational wave generated by flyby would merely displace the particles. We confirm their prediction numerically by fine-tuning the wave profile proposed by Gibbons and…

General Relativity and Quantum Cosmology · Physics 2025-05-20 P. -M. Zhang , Q. -L. Zhao , J. Balog , P. A. Horvathy

The nonlinear gravitational-wave memory causes a time-varying but nonoscillatory correction to the gravitational-wave polarizations. It arises from gravitational waves that are sourced by gravitational waves. Previous considerations of the…

General Relativity and Quantum Cosmology · Physics 2012-01-06 Marc Favata

The group velocity of gravitational waves in a flat Friedman-Robertson-Walker universe is investigated. For plane waves with wavelength well inside the horizon, and a universe filled with an ideal fluid with the pressure to density ratio…

General Relativity and Quantum Cosmology · Physics 2011-02-01 Vladimír Balek , Vratko Polák

Gravitational waves are predicted by the general theory of relativity. It has been shown that gravitational waves have a nonlinear memory, displacing test masses permanently. This is called the Christodoulou memory. We proved that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Lydia Bieri , PoNing Chen , Shing-Tung Yau

We present an electromagnetic analog of gravitational wave memory. That is, we consider what change has occurred to a detector of electromagnetic radiation after the wave has passed. Rather than a distortion in the detector, as occurs in…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Lydia Bieri , David Garfinkle

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

The gravitational-wave (GW) memory effect is a strong-field relativistic phenomenon that is associated with a persistent change in the GW strain after the passage of a GW. The nonlinear effect arises from interactions of GWs themselves in…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Arwa Elhashash , David A. Nichols

We study the displacement memory effect and its connection with the extended-BMS symmetries near the horizon of black holes. We show there is a permanent shift in the geodesic deviation vector relating two nearby timelike geodesics placed…

General Relativity and Quantum Cosmology · Physics 2021-03-16 Srijit Bhattacharjee , Shailesh Kumar , Arpan Bhattacharyya

Particles at rest before the arrival of a burst of gravitational wave move, after the wave has passed, with constant velocity along diverging geodesics. As recognized by Souriau 50 years ago and then forgotten, their motion is particularly…

General Relativity and Quantum Cosmology · Physics 2025-05-20 M. Elbistan , P. -M. Zhang , P. A. Horvathy

The memory effect in gravitational wave (GW) signals is the phenomenon, wherein the relative position of two inertial GW detectors undergoes a permanent displacement owing to the passage of GWs through them. Measurement of the memory signal…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Arpan Hait , Subhendra Mohanty , Suraj Prakash

It has been known that gravitational waves (GWs) transfer energy to viscous matter through which they propagate, but the effect is too weak to be astrophysically significant. Using linearized perturbations about a Minkowski background, we…

By making use of the weak gravitational field approximation, we obtain a linearized solution of the gravitational vacuum field equation in an anisotropic spacetime. The plane-wave solution and dispersion relation of gravitational wave is…

General Relativity and Quantum Cosmology · Physics 2012-04-03 Xin Li , Zhe Chang

We provide a uniform treatment of electromagnetic and gravitational memory effects, based on the gravito-electromagnetic formulation of GR and a generalization of the geodesic deviation equation. This allows us to find novel results: in…

High Energy Physics - Theory · Physics 2023-06-06 Ali Seraj , Turmoli Neogi