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Gravitational-wave memory refers to the permanent displacement of the test masses in an idealized (freely-falling) gravitational-wave interferometer. Inspiraling binaries produce a particularly interesting form of memory--the Christodoulou…

Astrophysics · Physics 2014-11-18 Marc Favata

Some astrophysical sources of gravitational waves can produce a "memory effect," which causes a permanent displacement of the test masses in a freely falling gravitational-wave detector. The Christodoulou memory is a particularly…

Solar and Stellar Astrophysics · Physics 2009-04-25 Marc Favata

Black holes encountered in general relativity are characterized by spacetime singularities hidden within an event horizon. These singularities provide a key motivation to go beyond general relativity and look for regular black holes where…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Alfio Bonanno , Frank Saueressig

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Jörg Frauendiener , Chris Stevens

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

The geodesic deviation of a pair of test particles is an natural observable for the gravitational memory effect. Nevertheless in curved spacetime, this observable is plagued with various issues that need to be clarified before one can…

High Energy Physics - Theory · Physics 2019-11-27 Chong-Sun Chu , Yoji Koyama

Gravitational wave echoes from the black holes have been suggested as a crucial observable to probe the spacetime in the vicinity of the horizon. In particular, it was speculated that the echoes are closely connected with specific…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Hang Liu , Wei-Liang Qian , Yunqi Liu , Jian-Pin Wu , Bin Wang , Rui-Hong Yue

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

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

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

Particles initially at rest hit by a passing sandwich gravitational wave exhibit, in general, thevelocity memory effect (VM): they fly apart with constant velocity. For specific values of the wave parameters their motion can however become…

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

Motivated by neutrino astronomy, we consider a plane wave of coupled and massive flavours, scattered by a static black hole, and describe analytically and numerically the corresponding oscillation probability in the surrounding space. Both…

High Energy Physics - Phenomenology · Physics 2018-08-15 Jean Alexandre , Katy Clough

Numerical relativists can now produce gravitational waveforms with memory effects routinely and accurately. The gravitational-wave memory effect contains very low-frequency components, including a persistent offset. The presence of these…

A simple estimate is given of gravitational wave memory for the inspiral and merger of a binary black hole system. Here the memory is proportional to the total energy radiated and has a simple angular dependence. This estimate might be…

General Relativity and Quantum Cosmology · Physics 2016-08-17 David Garfinkle

In this methodological paper we consider geodesic motion of particles in a spherically symmetric black hole space-times. We develop an approach based on splitting the velocity of a freely falling particle to the flow velocity, which depends…

General Relativity and Quantum Cosmology · Physics 2021-06-03 A. Toporensky , O. Zaslavskii

Gravitational wave memory is an important prediction of general relativity. The detection of the gravitational wave memory can be used to test general relativity and to deduce the property of the gravitational wave source. Quantitative…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Xiaolin Liu , Xiaokai He , Zhoujian Cao

Gravitational wave radiation from periodic orbits in some standard regular black hole spacetimes is studied, primarily using known methods (numerical and analytic). We demonstrate specific differences with the singular Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Rishav Agrawal , Anjan Kar , Soumya Jana , Sayan Kar

We investigate particle motion in regular and asymptotically flat black hole spacetimes supported by Dehnen-type dark-matter halos. Two analytic models are analyzed, allowing a systematic study of circular geodesics, photon-sphere…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Bekir Can Lütfüoğlu

Black hole perturbation theory, or more generally, perturbation theory on a Schwarzschild bockground, has been applied in several contexts, but usually under the simplifying assumption that the ADM momentum vanishes, namely, that the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Reinaldo J. Gleiser , Alfredo E. Dominguez

Gravitational-wave memory, a strong-field effect of general relativity, manifests itself as a permanent displacement in spacetime. We develop a Bayesian framework to detect gravitational-wave memory with the Advanced LIGO/Virgo detector…

High Energy Astrophysical Phenomena · Physics 2020-01-29 Moritz Hübner , Colm Talbot , Paul D. Lasky , Eric Thrane