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We consider the scattering of the gravitational waves by the weak gravitational fields of lens objects. We obtain the scattered gravitational waveform by treating the gravitational potential of the lens to first order, i.e. using the Born…

Astrophysics · Physics 2009-11-10 Ryuichi Takahashi , Teruaki Suyama , Shugo Michikoshi

The gravitational waves emitted by massive black hole binaries in the LISA band can be lensed. Wave-optics effects in the lensed signal are crucial when the Schwarzschild radius of the lens is smaller than the wavelength of the radiation.…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-31 Mesut Çalışkan , Lingyuan Ji , Roberto Cotesta , Emanuele Berti , Marc Kamionkowski , Sylvain Marsat

We propose a new method to test the cosmic distance duality relation using the strongly lensed gravitational waves. The simultaneous observations of image positions, the relative time delay between different images, the redshift…

General Relativity and Quantum Cosmology · Physics 2020-04-23 Hai-Nan Lin , Xin Li

Similar to the light, gravitational waves traveling in multiple paths may arrive at the same location if there is a gravitational lens on their way. Apart from the magnification of the amplitudes and the time delay between the gravitational…

General Relativity and Quantum Cosmology · Physics 2019-09-19 Shaoqi Hou , Xi-Long Fan , Zong-Hong Zhu

Gravitational waves from binary black holes that are gravitationally lensed can be distorted by small microlenses along the line of sight. Microlenses with masses of a few tens of solar masses, and that are close to a critical curve in the…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 Jose M. Diego

Gravitational lensing is the phenomenon arising when light rays are deflected by the mass between the source and the observer. Largely magnified and highly distorted images of background galaxies are formed by these angular deflections if…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-02 Atınç Çağan Şengül

The detection of gravitational waves opened up a new window to look into the Universe by probing phenomena invisible through electromagnetic observations. As gravitational waves interact very weakly with matter, their detection is…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Soumen Roy , Bruno Bertrand , Justin Janquart

Gravitational lensing magnification is maximal around caustics. At these source locations, an incoming wave from a point source would formally experience an infinite amplification in the high-frequency or geometric optics limit. This…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Jose María Ezquiaga , Rico K. L. Lo , Luka Vujeva

Strong lensing of gravitational wave (GW) sources allows the observer to see the GW source from different lines-of-sight (LOS) through the corresponding images, which provides a way for constraining the relative proper motion of the GW…

High Energy Astrophysical Phenomena · Physics 2025-01-23 Johan Samsing , Lorenz Zwick , Pankaj Saini , Kai Hendriks , Rico K. L. Lo , Luka Vujeva , Georgi D. Radev , Yan Yu

The matched filtering paradigm is the mainstay of gravitational wave (GW) searches from astrophysical coalescing compact binaries. The compact binary coalescence (CBC) search pipelines perform the matched filter between the GW detector's…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Chetan Verma , Amit Reza , Dilip Krishnaswamy , Sarah Caudill , Gurudatt Gaur

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

Gravitational waves (GWs) from the galactic double white dwarf (DWD) systems are one of the primary targets for upcoming space-based detectors. Due to their vast abundance and widespread distribution throughout the Galactic disk and bulge,…

Astrophysics of Galaxies · Physics 2026-04-16 Yan Sun , Yong Yuan , Minghui Du , Wen-Fan Feng , Xilong Fan , Peng Xu

Strong gravitational lensing of time variable sources such as quasars and supernovae creates observable time delays between the multiple images. Time delays can provide a powerful cosmographic probe through the "time delay distance"…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-18 Alireza Hojjati , Alex G. Kim , Eric V. Linder

Future GW observatories, such as the Einstein Telescope (ET), are expected to detect gravitational wave signals, some of which are likely to overlap with each other. This overlap may lead to misidentification as a single GW event,…

Instrumentation and Methods for Astrophysics · Physics 2024-07-19 Cunliang Ma , Weiguang Zhou , Zhoujian Cao

Gravitational waves are oscillations of space-time that are created, for example, in black hole mergers. If these waves travel through another massive astrophysical object, they will undergo an effect called gravitational lensing, that will…

Instrumentation and Methods for Astrophysics · Physics 2024-07-16 Helena Ubach , Jordi Espuny

Gravitational waves from the distant sources are gravitationally lensed during their propagation through the intervening matter inhomogeneities before arriving at detectors. It has been proposed in the literature that the variance of the…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Makoto Inamori , Teruaki Suyama

Strongly lensed gravitational waves may pass through the stellar field of a lensing galaxy with additional modulations (on both phase and amplitude) due to gravitational microlensing effect of stars/remnants near the line of sight. These…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Zhaoqi Su , Xikai Shan , Zhenwei Lyu , Junyao Zhang , Yebin Liu , Shude Mao , Huan Yang

Gravitational lensing of gravitational waves (GWs) can be leveraged to provide early-warning times of $\mathcal{O}({\rm hours})$ to $\mathcal{O}({\rm days})$ before the merger of Binary Neutron Stars (BNSs) and Neutron Star Black Holes…

High Energy Astrophysical Phenomena · Physics 2025-09-10 Sourabh Magare , Anupreeta More , Shasvath J. Kapadia

Every signal propagating through the universe is diffracted by the gravitational fields of intervening objects, aka gravitational lenses. Diffraction is most efficient when caused by compact lenses, which invariably produce additional…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Miguel Zumalacárregui

We use the non-observation of strong lensing of gravitational waves (GWs) in the first three observation runs of LIGO-Virgo detectors to constrain the fraction of dark matter in the form of compact objects in the mass range…

General Relativity and Quantum Cosmology · Physics 2024-05-28 A. Barsode , S. J. Kapadia , P. Ajith