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When gravitational waves propagate near massive objects, their paths curve resulting in gravitational lensing, which is expected to be a promising new instrument in astrophysics. If the time delay between different paths is comparable with…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Oleg Bulashenko , Helena Ubach

It is standard practice to study the lensing of gravitational waves (GW) using the geometric optics regime. However, in many astrophysical configurations this regime breaks down as the wavelength becomes comparable to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Giulia Cusin , Macarena Lagos

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

Gravitational waves propagate along null geodesics like light rays in the geometrical optics approximation, and they may have a chance to suffer from gravitational lensing by intervening objects, as is the case for electromagnetic waves.…

General Relativity and Quantum Cosmology · Physics 2010-10-12 Yousuke Itoh , Toshifumi Futamase , Makoto Hattori

Typical applications of gravitational lensing use the properties of electromagnetic or gravitational waves to infer the geometry through which those waves propagate. Nevertheless, the optical fields themselves - as opposed to their…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Abraham I. Harte

The emission of light pulses is expected to generate gravitational waves, opening the possibility of controlling gravity in an Earthed laboratory. However, measuring the optically-driven spacetime deformations is challenging due to the…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Riccardo Falcone , Claudio Conti

Plane-symmetric gravitational waves are considered as gravitational lenses. Numbers of images, frequency shifts, mutual angles, and image distortion parameters are computed exactly in essentially all non-singular plane wave spacetimes. For…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Abraham I. Harte

We study the deflection of light (and the redshift, or integrated time delay) caused by the time-dependent gravitational field generated by a localized material source lying close to the line of sight. Our calculation explicitly takes into…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thibault Damour , Gilles Esposito-Farese

We investigate the effect of the redshift drift in strong gravitational lensing. The redshift drift produces a time variation of $i)$ the apparent position of a lensed source and $ii)$ the time delay among incoming signals from different…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-17 Oliver F. Piattella , Leonardo Giani

We explore the impact of corrections to the propagation on the waveforms of gravitationally lensed gravitational waves under the geometrical optics approximation, focusing on both uniform cosmological modifications and local modifications…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Hiroki Takeda , Takahiro Tanaka

Gravitational waves act like lenses for the light propagating through them. This phenomenon is described using the vector formalism employed for ordinary gravitational lenses, which was proved to be applicable also to a non-stationary…

Astrophysics · Physics 2014-10-13 Valerio Faraoni

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…

Geometric optics effectively describes the propagation of electromagnetic waves when the wavelength is much smaller than the characteristic length scale of the medium, making wave phenomena like diffraction negligible. As a result, light…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Sebastian Murk , Daniel R. Terno , Rama Vadapalli

Observed angular positions and redshifts of large-scale structure tracers such as galaxies are affected by gravitational waves through volume distortion and magnification effects. Thus, a gravitational wave background can in principle be…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Donghui Jeong , Fabian Schmidt

The geometric properties of spacetimes representing expanding impulsive gravitational waves, propagating on a flat background and generated by snapped cosmic strings, are studied. The construction of the line element is reviewed, and…

General Relativity and Quantum Cosmology · Physics 2023-02-24 David Kofron , Michal Karamazov , Robert Svarc

Linear and rotational dragging effects of gravitational waves on local inertial frames are studied in purely vacuum spacetimes. First the linear dragging caused by a simple cylindrical pulse is investigated. Surprisingly strong transversal…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Jiri Bicak , Joseph Katz , Donald Lynden-Bell

We compute the effects of a stochastic background of gravitational waves on multiply imaged systems or on weak lensing. There are two possible observable effects, a static relative deflection of images or shear, and an induced time…

Astrophysics · Physics 2009-12-30 Rennan Bar-Kana

Considering plane gravitational waves propagating through flat spacetime, it is shown that curvatures experienced both in the starting point and during their arrival at the earth can cause a considerable shift in the frequencies as measured…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Claudio M. G. de Sousa

Wave effects in lensing form a rich phenomenon at the intersection of classical caustic singularities and quantum interference, yet are notoriously difficult to model. A large number of recently observed pulsars and fast radio bursts in…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-01 Job Feldbrugge

Astrometric observations can, in principle, be used to detect gravitational waves. In this paper we give a practical overview of the gravitational wave effects which can be expected specifically in small-field astrometric data. Particular…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Robin Geyer , Sven Zschocke , Michael Soffel , Sergei Klioner , Lennart Lindegren , Uwe Lammers