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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

We study geodesic motion in expanding spherical impulsive gravitational waves propagating in a Minkowski background. Employing the continuous form of the metric we find and examine a large family of geometrically preferred geodesics. For…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jiri Podolsky , Roland Steinbauer

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

Wave-mechanical effects in gravitational lensing have long been predicted, and with the discovery of populations of compact transients such as gravitational wave events and fast radio bursts, may soon be observed. We present an observer's…

High Energy Astrophysical Phenomena · Physics 2023-04-04 Calvin Leung , Dylan Jow , Prasenjit Saha , Liang Dai , Masamune Oguri , Léon V. E. Koopmans

We present a perturbative treatment of gravitational wave memory. The coordinate invariance of Einstein's equations leads to a type of gauge invariance in perturbation theory. As with any gauge invariant theory, results are more clear when…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Lydia Bieri , David Garfinkle

We examine gravitational wave memory in the case where sources and detector are in a $\Lambda$CDM cosmology. We consider the case where the universe can be highly inhomogeneous, but the gravitatational radiation is treated in the short…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Lydia Bieri , David Garfinkle , Nicolas Yunes

Continuous gravitational waves are analogous to monochromatic light and therefore could be used to detect wave effects like interference or diffraction. This would be possible with strongly lensed gravitational waves. This article reviews…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Marek Biesiada , Sreekanth Harikumar

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

At second-order, scalar perturbations can source traceless and transverse perturbations to the metric, called induced gravitational waves (IGW). The apparent gauge-dependence of the IGW obscures the interpretation of the stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-09 James Gurian , Donghui Jeong , Jai-chan Hwang , Hyerim Noh

This work introduces a geometrical method for analyzing transient gravitational waves recorded at interferometric observatories. This approach is intended to aid in assessing the performance and sensitivity of next-generation detector…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Osvaldo M. Moreschi

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

Gravitational waves from the coalescence of compact objects carry information about their dynamics and the spacetime in regions where they are evolving. In particular, late-time tails and memory effects after the merger are two…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Qassim Alnasheet , Vitor Cardoso , Francisco Duque , Rodrigo Panosso Macedo

A valuable target for advanced gravitational-wave detectors is the stochastic gravitational-wave background. The stochastic background imparts a weak correlated signal into networks of gravitational-wave detectors, and so standard searches…

High Energy Astrophysical Phenomena · Physics 2018-12-26 Thomas Callister , Michael Coughlin , Jonah Kanner

Understanding the interplay between quantum mechanical systems and gravity is a crucial step towards unifying these two fundamental ideas. Recent theoretical developments have explored how global properties of spacetime would cause a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Flynn Linton , Shubhanshu Tiwari

In the first paper in this series, we introduced "persistent gravitational wave observables" as a framework for generalizing the gravitational wave memory effect. These observables are nonlocal in time and nonzero in the presence of…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Éanna É. Flanagan , Alexander M. Grant , Abraham I. Harte , David A. Nichols

We have recently derived a manifestly covariant evolution law, under the geometrical optics approximation of the vacuum Maxwell's equations, for the electric field along null geodesics in a general spacetime, relative to an arbitrary set of…

General Relativity and Quantum Cosmology · Physics 2021-08-27 João C. Lobato , Isabela S. Matos , Lucas T. Santana , Ribamar R. R. Reis , Maurício O. Calvão

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

This chapter is concerned with the question: how do gravitational waves (GWs) interact with their detectors? It is intended to be a theory review of the fundamental concepts involved in interferometric and acoustic (Weber bar) GW antennas.…

General Relativity and Quantum Cosmology · Physics 2022-09-21 J. Alberto Lobo

There is currently no rigorous definition of gravitational wave strain at second order in cosmological perturbation theory. The usual association of gravitational waves with transverse and traceless fluctuations of the metric on spatial…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Guillem Domènech , Shi Pi , Ao Wang

In this paper, we establish a model-independent framework based on the Isaacson picture to analyze the gravitational-wave effects in the most general vector-tensor theory that yields second-order field equations. Within this framework, we…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Yu-Qi Dong , Xiao-Bin Lai , Yu-Qiang Liu , Yu-Xiao Liu