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Gravitational waves (GWs) propagating through the universe can be microlensed by stellar and intermediate-mass objects. Lensing induces frequency-dependent amplification of GWs, which can be computed using \texttt{GLoW}, an accurate code…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Marienza Caldarola , Srashti Goyal , Nihar Gupte , Stephen R. Green , Miguel Zumalacárregui

In this work, the strong lensing effect of the memory signal was considered. In the geometric optics limit, the lensed memory signal becomes oscillatory, while the unlensed is basically monotonic. This is because only the high frequency…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Ruanjing Zhang , Zhi-Chao Zhao , Shaoqi Hou , Xi-Long Fan , Kai Liao , Zong-Hong Zhu

Like light, gravitational waves can be gravitationally lensed by massive objects along their travel path. Strong lensing produces several images from the same binary coalescence and is forecasted to have a promising rate in ground-based…

General Relativity and Quantum Cosmology · Physics 2022-03-16 Justin Janquart , Otto A. Hannuksela , K. Haris , Chris Van Den Broeck

We consider gravitational wave (GW) sources with an associated electromagnetic (EM) counterpart, and analyze the time delay between both signals in the presence of lensing. If GWs have wavelengths comparable to the Schwarzschild radius of…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-29 Jose María Ezquiaga , Wayne Hu , Macarena Lagos

The space-based gravitational wave (GW) detectors are expected to observe lensed GW events, offering new opportunities for cosmology and fundamental physics.Across the millihertz band, lensing effects transition from the wave-optics regime…

Instrumentation and Methods for Astrophysics · Physics 2026-05-06 Tianlong Wang , Tianyu Zhao , Minghui Du , Ziren Luo , Peng Dong , Peng Xu

Gravitational-wave (GW) observations by a network of ground-based laser interferometric detectors allow us to probe the nature of GW polarizations. This would be an interesting test of general relativity (GR), since GR predicts only two…

General Relativity and Quantum Cosmology · Physics 2021-01-27 Srashti Goyal , K. Haris , Ajit Kumar Mehta , Parameswaran Ajith

Gravitational lensing describes the bending of the trajectories of light and gravitational waves due to the gravitational potential of a massive object. Strong lensing by galaxies can create multiple images with different overall…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Simon M. C. Yeung , Mark H. Y. Cheung , Joseph A. J. Gais , Otto A. Hannuksela , Tjonnie G. F. Li

Strongly lensed gravitational waves (GWs) from binary coalescence manifest as repeated chirps from the original merger. At the detectors, the phase of the lensed GWs and its arrival time differences will be consistent modulo a fixed…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-17 Jose María Ezquiaga , Wayne Hu , Rico K. L. Lo

Gravitational lensing is the phenomenon where the presence of matter (called a lens) bends the path of light-like trajectories travelling nearby. Similar to the geometric optics limit of electromagnetic waves, gravitational lensing of…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Aniruddha Chakraborty , Suvodip Mukherjee

Similarly to light, gravitational waves can be gravitationally lensed as they propagate near massive astrophysical objects such as galaxies, stars, or black holes. In recent years, forecasts have suggested a reasonable chance of strong…

General Relativity and Quantum Cosmology · Physics 2021-12-09 Justin Janquart , Eungwang Seo , Otto A. Hannuksela , Tjonnie G. F. Li , Chris Van Den Broeck

Using Fermat's principle, we analyze the effects of very long wavelength gravitational waves upon the images of a gravitationally lensed quasar. We show that the lens equation in the presence of gravity waves is equivalent to that of a lens…

Astrophysics · Physics 2011-09-09 J. Frieman , D. Harari , G. Surpi

Like light, gravitational waves are gravitationally lensed by intervening massive astrophysical objects, such as galaxies, clusters, black holes, and stars, resulting in a variety of potentially observable gravitational-wave lensing…

Strong gravitational lensing is a gravitational wave (GW) propagation effect that influences the inferred GW source parameters and the cosmological environment. Identifying strongly-lensed GW images is challenging as waveform amplitude…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Yijun Wang , Rico K. L. Lo , Alvin K. Y. Li , Yanbei Chen

Wave-optics phenomena in gravitational lensing occur when the signal's wavelength is commensurate to the gravitational radius of the lens. Although potentially detectable in lensed gravitational waves, fast radio bursts and pulsars,…

General Relativity and Quantum Cosmology · Physics 2025-06-20 Hector Villarrubia-Rojo , Stefano Savastano , Miguel Zumalacárregui , Lyla Choi , Srashti Goyal , Liang Dai , Giovanni Tambalo

Millilensed gravitational waves (GWs) can potentially be identified by the interference signatures caused by $\sim\!O(10\textrm{--}100)~\textrm{ms}$ time delays between multiple overlapping lensed signals. However, distinguishing…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Anna Liu , Kyungmin Kim

It is of fundamental importance to know the mass of gravitons. A simple method for constraining the graviton mass is to compare the arrival time of light and that of gravitational waves provided that both waves are simultaneously emitted…

General Relativity and Quantum Cosmology · Physics 2020-02-10 Takuya Morita , Jiro Soda

The cold dark matter scenario of hierarchical large-scale structure formation predicts the existence of abundant subhalos around large galaxies. However, the number of observed dwarf galaxies is far from this theoretical prediction,…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-02 Kai Liao , Xuheng Ding , Marek Biesiada , Xi-Long Fan , Zong-Hong Zhu

Gravitational lensing has empowered telescopes to discover astronomical objects that are otherwise out of reach without being highly magnified by foreground structures. While we expect gravitational waves (GWs) from compact binary…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Rico K. L. Lo , Luka Vujeva , Jose María Ezquiaga , Juno C. L. Chan

Next-generation ground-based gravitational-wave (GW) detectors are expected to detect millions of binary black hole mergers during their operation period. A small fraction ($\sim 0.1 - 1\%$) of them will be strongly lensed by intervening…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-13 Souvik Jana , Shasvath J. Kapadia , Tejaswi Venumadhav , Surhud More , Parameswaran Ajith

Propagating gravitational waves (GWs) can encounter a massive object (lens) whose gravitational radius is comparable to the wavelength of the GWs (wave-optics regime). The resulting `microlensed' signal contains imprints about the…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Gopalkrishna Prabhu , Uddeepta Deka , Sumanta Chakraborty , Shasvath J. Kapadia