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When gravitational waves pass near a gravitating object, they are deflected, or lensed. If the object is massive, such that the wavelength of the waves is small compared to its gravitational size, lensed gravitational wave events can be…

General Relativity and Quantum Cosmology · Physics 2024-03-22 Mark Ho-Yeuk Cheung , Ken K. Y. Ng , Miguel Zumalacárregui , Emanuele Berti

We consider the prospects for detecting weak gravitational lensing by underdensities (voids) in the large-scale matter distribution. We derive the basic expressions for magnification and distortion by spherical voids. Clustering of the…

Astrophysics · Physics 2009-09-25 Luca Amendola , Joshua A. Frieman , Ioav Waga

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

We present the first detailed computations of wave optics effects in the gravitational lensing of binary systems. The field is conceptually rich, combining the caustic singularities produced in classical gravitational lensing with quantum…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Job Feldbrugge , Neil Turok

When it comes to long-wavelength gravitational waves (GWs), diffraction effect becomes significant when these waves are lensed by celestial bodies. Typically, the traditional diffraction integral formula neglects large-angle diffraction,…

High Energy Astrophysical Phenomena · Physics 2024-04-16 Xiao Guo , Zhoujian Cao

We calculate the ``seeing'' effect on distant sources due to a gravitational wave background. We derive the limit in strain and energy density of the gravitational wave based on the limit of detectability of this effect with the present day…

Astrophysics · Physics 2007-05-23 Francine Marleau , Glenn Starkman

Strong gravitational lensing gives access to the total mass distribution of galaxies. It can unveil a great deal of information about the lenses dark matter content when combined with the study of the lenses light profile. However,…

Astrophysics of Galaxies · Physics 2017-08-02 Judith Biernaux , Pierre Magain , Clementine Hauret

Strong gravitational lenses come in many forms, but are typically divided into two populations: galaxies, and groups and clusters of galaxies. The largest objects in the Universe (i.e. galaxy clusters) are highly irregular and composed of…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-17 Luka Vujeva , Jose María Ezquiaga , Rico K. L. Lo , Juno C. L. Chan

The mass-sheet degeneracy is a well-known problem in gravitational lensing which limits our capability to infer astrophysical lens properties or cosmological parameters from observations. As the number of gravitational wave observations…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-07 Paolo Cremonese , Jose María Ezquiaga , Vincenzo Salzano

In a gravitational lensing system, the relative transverse velocities of the lens, source, and observer induce a frequency shift in the observed radiation. While this shift is typically negligible in most astrophysical contexts, strategies…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Mikołaj Korzyński , Mateusz Kulejewski

In this work, we study the interaction of the electromagnetic wave (EW) from a distant quasar with the gravitational wave (GW) sourced by the binary stars. While in the regime of geometric optics, the light bending due to this interaction…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-13 Sohrab Rahvar

We review the kinematic effects on a gravitational wave due to either a peculiar motion of the astrophysical source emitting it or a local motion of the observer. Working in the context of general relativity, we show at fully non-linear…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Giulia Cusin , Cyril Pitrou , Camille Bonvin , Aurélien Barrau , Killian Martineau

Like light, gravitational waves can be gravitationally lensed by massive astrophysical objects. Strong gravitational lensing by galaxies and galaxy clusters is anticipated to become observable in the coming years. This phenomenon will…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Leo C. Y. Ng , Justin Janquart , Hemantakumar Phurailatpam , Harsh Narola , Jason S. C. Poon , Chris Van Den Broeck , Otto A. Hannuksela

The direct detection of gravitational wave by Laser Interferometer Gravitational-Wave Observatory indicates the coming of the era of gravitational-wave astronomy and gravitational-wave cosmology. It is expected that more and more…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Rong-Gen Cai , Zhoujian Cao , Zong-Kuan Guo , Shao-Jiang Wang , Tao Yang

This paper provides a complete theoretical treatment of the point-mass lens perturbed by constant external shear, often called the Chang-Refsdal lens. We show that simple invariants exist for the products of the (complex) positions of the…

Astrophysics · Physics 2008-11-26 J. An , N. W. Evans

Wave-optics effects in strongly lensed gravitational waves (GWs) provide a new interferometric probe of dark matter substructure. We compute the full diffraction integral for GWs propagating through statistically generated cold dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-05 Shin'ichiro Ando

With the increase in the number of observed gravitational wave (GW) signals, detecting strongly lensed GWs by galaxies has become a real possibility. Lens galaxies also contain microlenses (e.g., stars and black holes), introducing further…

Astrophysics of Galaxies · Physics 2022-10-05 Ashish Kumar Meena , Anuj Mishra , Anupreeta More , Sukanta Bose , Jasjeet Singh Bagla

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

When gravitational waves pass near massive astrophysical objects, they can be gravitationally lensed. The lensing can split them into multiple wave-fronts, magnify them, or imprint beating patterns on the waves. Here we focus on the…

High Energy Astrophysical Phenomena · Physics 2021-11-17 A. Renske A. C. Wierda , Ewoud Wempe , Otto A. Hannuksela , Léon V. E. Koopmans , Chris Van Den Broeck

We show that chirping gravitational waves in the LIGO frequency band $f=1 - 5000$ Hz can be gravitationally diffracted by the Sun, due to the coincidence of its Fresnel length $r_F \propto \sqrt{1\, {\rm AU}/f}$ and the solar radius…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-26 Sunghoon Jung , Sungjung Kim
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