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The non-linear gravitational-wave memory effect is a prediction of general relativity in which test masses are permanently displaced by gravitational radiation. We implement a method for calculating the expected memory waveform from an…

High Energy Astrophysical Phenomena · Physics 2018-09-26 Colm Talbot , Eric Thrane , Paul D. Lasky , Fuhui Lin

The large-distance approximation of a sandwich gravitational wave by a continuous but not necessarily smooth profile provides us with an approximate analytic description of particle motion in a gravitational wave as spelled out for the…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Q-L Zhao , P. -M. Zhang , M. Elbistan , P. A. Horvathy

The nonlinear memory effect is a slowly-growing, non-oscillatory contribution to the gravitational-wave amplitude. It originates from gravitational waves that are sourced by the previously emitted waves. In an ideal gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Marc Favata

The "gravitational memory effect" due to an exact plane wave provides us with an elementary description of the diffeomorphisms associated with soft gravitons. It is explained how the presence of the latter may be detected by observing the…

General Relativity and Quantum Cosmology · Physics 2017-10-02 P. -M. Zhang , C. Duval , G. W. Gibbons , P. A. Horvathy

We examine a simple example of gravitational wave memory due to the decay of a point particle into two point particles. In the case where one of the decay products is null, there are two types of memory: a null memory due to the null…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Alexander Tolish , Lydia Bieri , David Garfinkle , Robert M. Wald

In the first paper in this series, a class of observables that generalized the gravitational wave memory effect were introduced and given the name "persistent gravitational wave observables." These observables are all nonlocal in time,…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Alexander M. Grant , David A. Nichols

In this paper, we study the gravitational memory effect in pp-wave spacetimes due to the passage of a pulse having the form of a ramp profile through this spacetime. We have analyzed the effect of this pulse on the evolution of nearby…

General Relativity and Quantum Cosmology · Physics 2024-06-17 Sucheta Datta , Sarbari Guha

We explain the recent results on the displacement memory effect (DME) of plane gravitational waves using supersymmetric quantum mechanics. This novel approach stems from that both the geodesic and the Schr\"odinger equations are…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Erdal Catak , Mahmut Elbistan , Mustafa Mullahasanoglu

Gravitational-wave memory is a low-frequency, non-oscillatory signal that provides a promising probe of strong-field gravity. We present the first computation of memory from full inspiral--merger--ringdown waveforms in a theory beyond GR,…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Silvia Gasparotto

In this work, it is shown that based on the linear analysis, as long as a theory of gravity is diffeomorphism invariant and possesses the tensor degrees of freedom propagating at a constant, isotropic speed without dispersion, its…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Shaoqi Hou

We report an analytical example of the gravitational wave memory effect in exact plane wave spacetimes. A square pulse profile is chosen which gives rise to a curved wave region sandwiched between two flat Minkowski spacetimes. Working in…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Indranil Chakraborty , Sayan Kar

The conventional gravitational memory effect is a relative displacement in the position of two detectors induced by radiative energy flux. We find a new type of gravitational `spin memory' in which beams on clockwise and counterclockwise…

High Energy Physics - Theory · Physics 2017-02-01 Sabrina Pasterski , Andrew Strominger , Alexander Zhiboedov

The gravitational wave signal produced by the merger of two compact objects includes both an oscillatory transient and a non-oscillatory part, the so-called memory effect. This produces a permanent displacement of test masses and has not…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Jamie Bamber , Antonios Tsokaros , Milton Ruiz , Stuart L. Shapiro , Marc Favata , Matthew Karlson , Fabrizio Venturi Piñas

In the plane wave spacetime, when gravitational waves pass by, an angular deviation exists between two free-falling gyroscopes, which naturally corresponds to the velocity memory effect. In the shackwave spacetime background, the angular…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Yingxin Chen , Ke Wang , Chao-Jun Feng

Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form $H^2\times M(1,1)$ and $S^2\times M(1,1)$.…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Indranil Chakraborty , Sayan Kar

Gravitational memory, a residual change, arises after a finite gravitational wave pulse interacts with free masses. We calculate the memory effect in massive gravity as a function of the graviton mass $(m_g)$ and show that it is discretely…

General Relativity and Quantum Cosmology · Physics 2019-02-07 Ercan Kilicarslan , Bayram Tekin

The memory effect of test particles interacting with pp-wave Gaussian pulses is investigated for polarization modes beyond the standard quadrupolar $+$ and $\times$ states. Massive geodesic equations are solved numerically for several…

General Relativity and Quantum Cosmology · Physics 2026-03-31 F. L. Carneiro , H. P. de Carvalho , M. P. Lobo , L. A. Cabral

Particles moving along curved trajectories will diffuse if the curvature fluctuates sufficiently in either magnitude or orientation. We consider particles moving at a constant speed with either a fixed or with a Gaussian distributed…

Soft Condensed Matter · Physics 2009-11-10 Andrew D. Rutenberg , Andrew J. Richardson , Claire J. Montgomery

We consider the effect of a small cut-off epsilon on the velocity of a traveling wave in one dimension. Simulations done over more than ten orders of magnitude as well as a simple theoretical argument indicate that the effect of the cut-off…

Condensed Matter · Physics 2009-10-31 Eric Brunet , Bernard Derrida

The non-linearity of the theory of gravity induces a hysteresis effect in both the systems interacting with gravity and in the gravitational field. The effect is usually referred to as the memory effect. In this paper, we explore this…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Raihaneh Moti , Ali Shojai