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It is shown that accurate photometric observations of a relatively high--magnification microlensing event ($A\gg 1$), occurring close to the line of sight of a gravitational wave (GW) source, represented by a binary star, can allow the…

Astrophysics · Physics 2009-11-10 R. Ragazzoni , G. Valente , E. Marchetti

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

Considering the spacetime around a rotating massif body it is seen that the time of flight of a light ray is different whether it travels on one side of the source or on the other. The difference is proportional to the angular momentum of…

General Relativity and Quantum Cosmology · Physics 2009-09-25 A. Tartaglia

The effect of gravitational wave of extremely low frequency on time delays between different locations on the Einstein ring in a lens system with an aligned source-deflector-observer configuration is investigated. The observer will observe…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Wenshuai Liu

The strong evidence for low-frequency gravitational waves from pulsar timing arrays (PTAs), published in 2023, has widened the scope for teaching about gravitational wave astronomy. This article provides a simple, unified overview of the…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Markus Pössel

Gravitational waves (GWs) may be magnified or de-magnified due to lensing. This phenomenon will bias the distance estimation based on the matched filtering technique. Via the multi-sphere ray-tracing technique, we study the GW magnification…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-21 Xikai Shan , Chengliang Wei , Bin Hu

We gain insight into the effects of gravitational lensing on the estimated distribution of merging binaries observed through gravitational waves. We quantify the efficiency of magnification for gravitational wave events in the geometric…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 O. Contigiani

The possible variation of the electromagnetic fine structure constant $\alpha_e$ on cosmological scales arouses great interests in recent years. The strongly lensed gravitational waves and the electromagnetic counterparts could be used to…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Xin Li , Li Tang , Hai-Nan Lin , Li-Li Wang

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

Secure confirmation that a gravitational wave (GW) has been gravitationally lensed would bring together these two pillars of General Relativity for the first time. This breakthrough is challenging for many reasons, including: GW sky…

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

The strongly lensed gravitational wave (SLGW) is a promising transient phenomenon. However, the long-wave nature of gravitational waves poses a significant challenge in identification of its host galaxy. To tackle this challenge, we propose…

Instrumentation and Methods for Astrophysics · Physics 2025-05-08 Xikai Shan , Bin Hu , Xuechun Chen , Rong-Gen Cai

Recently LIGO collaboration discovered gravitational waves \cite{Abbott_16} predicted 100 years ago by A. Einstein. Moreover, in the key paper reporting about the discovery, the joint LIGO \& VIRGO team presented an upper limit on graviton…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Alexander F. Zakharov , Predrag Jovanovic , Dusko Borka , Vesna Borka Jovanovic

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

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

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

Massive gravitons are features of some alternatives to general relativity. This has motivated experiments and observations that, so far, have been consistent with the zero mass graviton of general relativity, but further tests will be…

High Energy Astrophysical Phenomena · Physics 2011-01-27 Kejia Lee , Fredrick A. Jenet , Richard H. Price , Norbert Wex , Michael Kramer

Obtaining lensing time delay measurements requires long-term monitoring campaigns with a high enough resolution (< 1 arcsec) to separate the multiple images. In the radio, a limited number of high-resolution interferometer arrays make these…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-21 G. Gurkan , N. Jackson , L. V. E. Koopmans , C. D. Fassnacht , A. Berciano Alba

Electromagnetic methods recently proposed for detecting gravitational waves modify the Michelson phase shift analysis (historically employed for special relativity). We suggest that a frequency modulation analysis is more suited to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Sivasubramanian , Y. N. Srivastava , A. Widom

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