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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

The "memory effect" is the permanent change in the relative separation of test particles resulting from the passage of gravitational radiation. We investigate the memory effect for a general, spatially flat FLRW cosmology by considering the…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Alexander Tolish , Robert M. Wald

A passing gravitational wave causes a deflection in the apparent astrometric positions of distant stars. The effect of the speed of the gravitational wave on this astrometric shift is discussed. A stochastic background of gravitational…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Deyan P. Mihaylov , Christopher J. Moore , Jonathan Gair , Anthony Lasenby , Gerard Gilmore

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

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

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

Gravitational waves (GWs) passing through the Earth cause a correlated pattern of time-dependent deflections of the apparent position of astronomical sources. We build upon standard lensing reconstruction techniques to develop a new…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-05 Alvin Leluc , Joel Meyers , Alexander van Engelen

This paper discusses the effects of gravitational waves on high-accuracy astrometric observations such as those delivered by Gaia. Depending on the frequency of gravitational waves, two regimes for the influence of gravitational waves on…

High Energy Astrophysical Phenomena · Physics 2018-02-14 Sergei A. Klioner

Cosmological inhomogeneities gravitationally deflect radiation propagating from distant sources, transforming the spatial and angular correlation functions of intrinsic source properties. For a gaussian distribution of deflections (e.g.…

Astrophysics · Physics 2007-05-23 Eric V. Linder

The {\Lambda}CDM model has long served as a robust and predictive framework for cosmology, successfully explaining a wide range of observations, including the accelerated expansion of the Universe. However, discrepancies in cosmological…

General Relativity and Quantum Cosmology · Physics 2025-04-11 Indranil Chakraborty , Susmita Jana , S. Shankaranarayanan

A stochastic gravitational wave background causes the apparent positions of distant sources to fluctuate, with angular deflections of order the characteristic strain amplitude of the gravitational waves. These fluctuations may be detectable…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-28 Laura G. Book , Éanna É. Flanagan

We examine gravitational wave memory in the case where sources and detector are in an expanding cosmology. For simplicity, we treat the case where the cosmology is de Sitter spacetime, and discuss the possibility of generalizing our results…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Lydia Bieri , David Garfinkle , Shing-Tung Yau

Gravitational waves affect the observed direction of light from distant sources. At telescopes, this change in direction appears as periodic variations in the apparent positions of these sources on the sky; that is, as proper motion. A wave…

The presence of a gravitational wave background (GWB) can be established not only via exquisitely precise pulsar timing array (PTA) measurements, but also via astrometric observations. Indeed, the very same background responsible for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-17 Gabriele Perna , Nicola Bellomo , Vincenzo Roatti , Daniele Bertacca

We study the motion of a gyroscope located far away from an isolated gravitational source in an asymptotically flat spacetime. As seen from a local frame tied to distant stars, the gyroscope precesses when gravitational waves cross its…

High Energy Physics - Theory · Physics 2023-11-10 Ali Seraj , Blagoje Oblak

Weak gravitational lensing is responsible for the shearing and magnification of the images of high-redshift sources due to the presence of intervening matter. The distortions are due to fluctuations in the gravitational potential, and are…

Astrophysics · Physics 2009-09-29 D. Munshi , P. Valageas , L. Van Waerbeke , A. Heavens

The cosmological memory effect is a permanent change in the relative separation of test particles located in a FLRW spacetime due to the passage of gravitational waves. In the case of a spatially flat FLRW spacetime filled with a perfect…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Mohammad Ali Gorji , Taisuke Matsuda , Shinji Mukohyama

The subtle influence of gravitational waves on the apparent positioning of celestial bodies offers novel observational windows. We calculate the expected astrometric signal induced by an isotropic Stochastic Gravitational Wave Background…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Giorgio Mentasti , Carlo R. Contaldi

Gravitational memory is a zero-frequency effect associated with a permanent change in the asymptotic spacetime metric induced by radiation. Although its universal manifestation is a net change in the proper distances between freely falling…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Jann Zosso , Lorena Magaña Zertuche , Silvia Gasparotto , Adrien Cogez , Henri Inchauspé , Milo Jacobs

The cosmic microwave background (CMB) represents a unique source for the study of gravitational lensing. It is extended across the entire sky, partially polarized, located at the extreme distance of z=1100, and is thought to have the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Duncan Hanson , Anthony Challinor , Antony Lewis
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