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Advanced LIGO and Advanced Virgo could observe the first lensed gravitational waves in the coming years, while the future Einstein Telescope could observe hundreds of lensed events. Ground-based gravitational-wave detectors can resolve…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Giulia Pagano , Otto A. Hannuksela , Tjonnie G. F. Li

Detection of gravitational waves (GW) provides us an opportunity to test general relativity in strong and dynamical regimes of gravity. One of the tests is checking whether GW propagates with the speed of light or not. This test is crucial…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Atsushi Nishizawa , Takashi Nakamura

The diffraction patterns of lensed gravitational waves encode information about their propagation speeds. If gravitons have mass, the dispersion relation and speed of gravitational waves will be affected in a frequency-dependent manner,…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Ka-Wai Chung , Tjonnie Guang Feng Li

On August 17, 2017 the LIGO interferometers detected the gravitational wave (GW) signal (GW170817) from the coalescence of binary neutron stars. This signal was also simultaneously seen throughout the electromagnetic (EM) spectrum from…

High Energy Astrophysical Phenomena · Physics 2018-02-15 Sibel Boran , Shantanu Desai , Emre Kahya , Richard Woodard

Precision pulsar timing at the level of tens to hundreds of nanoseconds allows detection of nanohertz gravitational waves (GWs) from supermassive binary black holes (SMBBHs) at the cores of merging galaxies and, potentially, from exotic…

Instrumentation and Methods for Astrophysics · Physics 2019-03-25 J. M. Cordes , M. A. McLaughlin

Gravitational waves (GWs) offer a new observational window into the universe, providing insights into compact objects and cosmic structures. Gravitational lensing, commonly studied in electromagnetic waves, also affects GWs, introducing…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-25 Xing-Yu Yang , Tan Chen , Rong-Gen Cai

In this paper we investigate the relation between the potential and geometric time delays in gravitational lensing. In the original paper of Shapiro (1964), it is stated that there is a time delay in the radar signals between Earth and…

General Relativity and Quantum Cosmology · Physics 2020-10-01 Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan , Adam Rogers , Xinzhong Er

How does the appearance of a strongly lensed system change if a gravitational wave is produced by the lens? In this work we address this question by considering a supermassive black hole binary at the center of the lens emitting…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-29 Leonardo Giani , Cullan Howlett , Tamara M. Davis

It has been shown that time delay of strong gravitational lensing is not only an effective cosmological probe to constrain the Hubble constant, the matter density and the curvature of the universe but also useful for breaking the degeneracy…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-15 Bin Liu , Zhengxiang Li , Zong-Hong Zhu

Gravitational lensing of gravitational waves (GWs) is a powerful probe of the matter distribution in the universe. Here we revisit the wave-optics effects induced by dark matter (DM) halos on the GW signals of merging massive black hole…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-23 Zucheng Gao , Xian Chen , Yi-Ming Hu , Jian-Dong Zhang , Shunjia Huang

We describe how gravitational lensing of fast radio bursts (FRBs) is affected by a plasma screen in the vicinity of the lens or somewhere between the source and the observer. Wave passage through a turbulent medium affects gravitational…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Pawan Kumar , Paz Beniamini

Gravitational waves (GWs) are unique messengers as they travel through the Universe without alteration except for gravitational lensing. Their long wavelengths make them susceptible to diffraction by cosmic structures, providing an…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Juno C. L. Chan , Jose María Ezquiaga , Rico K. L. Lo , Joey Bowman , Lorena Magaña Zertuche , Luka Vujeva

Third-generation gravitational wave detectors, such as the Einstein Telescope and Cosmic Explorer, will detect a bunch of gravitational-wave (GW) signals originating from the coalescence of binary neutron star (BNS) and binary black hole…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Yoshiaki Himemoto , Atsushi Nishizawa , Atsushi Taruya

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

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

The Universe's matter inhomogeneity gravitationally affects the propagation of gravitational waves (GWs), causing the lensing effect. Particularly, the weak lensing of GWs has been studied within the range of the Born approximation to…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-08 Morifumi Mizuno , Teruaki Suyama

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

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

We propose a novel probe of fundamental physics that involves the exploration of temporal correlations between the multi-frequency electromagnetic (EM) signal and the sub-threshold GW signal or stochastic gravitational wave background…

High Energy Astrophysical Phenomena · Physics 2021-09-15 Suvodip Mukherjee , Joseph Silk

We investigate the potential of high-energy astrophysical events, from which both massless and massive signals are detected, to probe fundamental physics. In particular, we consider how strong gravitational lensing can induce time delays in…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-31 Tessa Baker , Mark Trodden