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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

Circularly polarized gravitational sandwich waves exhibit, as do their linearly polarized counterparts, the Velocity Memory Effect: freely falling test particles in the flat after-zone fly apart along straight lines with constant velocity.…

General Relativity and Quantum Cosmology · Physics 2018-05-23 P. -M. Zhang , C. Duval , G. W. Gibbons , P. A. Horvathy

Impulsive gravitational plane waves, which have a delta-function singularity on a hypersurface, can be obtained by squeezing smooth plane gravitational waves with Gaussian profile. They exhibit (as do their smooth counterparts) the Velocity…

General Relativity and Quantum Cosmology · Physics 2018-03-14 P. -M. Zhang , C. Duval , P. A. Horvathy

Ehlers and Kundt [1] argued in favor of the velocity effect: particles initally at rest hit by a burst of gravitational waves should fly apart with constant velocity after the wave has passed. Zel'dovich and Polnarev [2] suggested instead…

General Relativity and Quantum Cosmology · Physics 2025-05-14 P. -M. Zhang , Q. -L. Zhao , M. Elbistan , P. A. Horvathy

A gravitational wave pulse, while passing through spacetime, brings about a change in the relative separation between free particles. This `memory effect' serves as one of the signatures of gravitational waves. In this paper, we consider…

General Relativity and Quantum Cosmology · Physics 2023-07-13 Sucheta Datta , Sarbari Guha , Deeshani Mitra

In this article, we compare in detail the linear and nonlinear approach to the Gravitational Waves Displacement and Velocity Memory (GWDM and GWVM) effects. We consider astrophysical situations that give rise to gravitational waves with…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Lydia Bieri , Alexander Polnarev

It has long been known that gravitational waves from compact binary coalescing sources are responsible for a first-order displacement memory effect experienced by a pair of freely falling test masses. This constant displacement is sourced…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Atul K. Divakarla , Bernard F. Whiting

The gravitational wave memory effect is characterized by the permanent relative displacement of a pair of initially comoving test particles that is caused by the passage of a burst of gravitational waves. Recent research on this effect has…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Éanna É. Flanagan , Alexander M. Grant , Abraham I. Harte , David A. Nichols

The usual gravitational wave memory effect can be understood as a change in the separation of two initially comoving observers due to a burst of gravitational waves. Over the past few decades, a wide variety of other, "persistent"…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Alexander M. Grant

Nonlinear gravitational wave memory is a surprise of theoretical physics. Whereas it is understood that a gravitational wave induces oscillatory squeezing and stretching motion in a collection of freely-falling test masses, it is unexpected…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Robert R. Caldwell

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

We give an account of the gravitational memory effect in the presence of the exact plane wave solution of Einstein's vacuum equations. This allows an elementary but exact description of the soft gravitons and how their presence may be…

General Relativity and Quantum Cosmology · Physics 2017-09-13 P. M. Zhang , C. Duval , G. W. Gibbons , P. A. Horvathy

Gravitational wave memory is said to arise when a gravitational wave burst produces changes in a physical system that persist even after that wave has passed. This paper analyzes gravitational wave bursts in plane wave spacetimes, deriving…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Abraham I. Harte , Thomas B. Mieling , Marius A. Oancea , Elisabeth Steininger

This article aims at comparing gravitational wave memory effect in a Schwarzschild spacetime with that of other compact objects with static and spherically symmetric spacetime, with the purpose of proposing a procedure for differentiating…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Soumya Bhattacharya , Shramana Ghosh

We study the behavior of geodesics in the plane-fronted wave background of the three-dimensional (3D) gravity with propagating torsion, which possesses only massive degrees of freedom. We discover the velocity memory effect, in contrast to…

General Relativity and Quantum Cosmology · Physics 2020-03-19 Branislav Cvetković , Dejan Simić

Primordial gravitational waves, after they enter the horizon and decay away, leave a residual displacement in test particles: a memory, in analogy with gravitational waves generated by astrophysical sources. The late-time distance between…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Paolo Creminelli , Filippo Vernizzi

We analyze the motion of test particles in the spacetime of the plane-fronted (pp) waves with torsion in four-dimensions. We conclude that there is a velocity memory effect in the direction of advanced time and along radial direction, while…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Branislav Cvetković , Dejan Simić

In the plane wave spacetime, we find that there will be a precession angle deviation between two free-falling gyroscopes when gravitational waves passed through. This kind of angle deviation is closely related to the well-known standard…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Ke Wang , Chao-Jun Feng

Recently the 'memory effect' has been studied in plane gravitational waves and, in particular, in impulsive plane waves. Based on an analysis of the particle motion (mainly in Baldwin-Jeffery-Rosen coordinates) a 'velocity memory effect' is…

General Relativity and Quantum Cosmology · Physics 2019-05-02 Roland Steinbauer

Gravitational waves (GWs) produce small distortions in the observable distribution of stars in the sky. We describe the characteristic pattern of astrometric deflections created by a specific gravitational waveform called a burst with…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Dustin R. Madison
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