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We develop a model of gravitational lensing in a non-uniform plasma. When a gravitating body is surrounded by a plasma, the lensing angle depends on the frequency of the electromagnetic wave, due to dispersion properties of plasma, in…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-14 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

The relative transverse velocity of a lens with respect to the source star in gravitational lensing results in a frequency shift in the light rays passing by a lens. We propose using this relativistic effect for measuring the relative…

Astrophysics of Galaxies · Physics 2020-01-08 Sohrab Rahvar

With the advent of gravitational-wave astronomy it has now been possible to constrain modified theories of gravity that were invoked to explain the dark energy. In a class of dilaton models, distances to cosmic sources inferred from…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Arnab Dhani , Anuradha Gupta , B. S. Sathyaprakash

The lensing of gravitational waves (GWs) occurs when GWs experience local gravitational potential. In the weak lensing regime, it has been reported that a simple consistency relation holds between the variances of the magnification and…

General Relativity and Quantum Cosmology · Physics 2024-04-10 Morifumi Mizuno , Teruaki Suyama , Ryuichi Takahashi

When a source of gravity waves is conveniently placed between the Earth and some source of light, preferably a pulsating source, the magnitude of time delays induced by the gravity waves could, in optimal situations, be not too far out of…

Astrophysics · Physics 2010-11-01 Redouane Fakir

If the graviton possesses a non-zero charge $q_g$, gravitational waves (GW) originating from astrophysical sources would experience an additional time delay due to intergalactic magnetic fields. This would result in a modification of the…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Sreejith Nair , Aditya Vijaykumar , Sudipta Sarkar

We extend and improve earlier estimates of the ability of the proposed LISA (Laser Interferometer Space Antenna) gravitational wave detector to place upper bounds on the graviton mass, m_g, by comparing the arrival times of gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Curt Cutler , William A. Hiscock , Shane L. Larson

Galaxies are gigantic physical systems having a typical size of many tens of thousands of light years. Thus any change at the center of the galaxy will affect the rim only tens of millennia later. Those retardation effects seems to be…

General Physics · Physics 2021-08-21 Asher Yahalom

If gravitation is propagated by a massive field, then the velocity of gravitational waves (gravitons) will depend upon their frequency and the effective Newtonian potential will have a Yukawa form. In the case of inspiralling compact…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Clifford M. Will

Advanced LIGO and Advanced Virgo could observe the first lensed gravitational wave sources in the coming years, while the future Einstein Telescope could observe hundreds of lensed events. It is, therefore, crucial to develop methodologies…

High Energy Astrophysical Phenomena · Physics 2020-06-03 Peter T. H. Pang , Otto A. Hannuksela , Tim Dietrich , Giulia Pagano , Ian W. Harry

As the number of detected gravitational wave sources increase with increasing sensitivity of the gravitational wave observatories, observing strongly lensed pair of events will become a real possibility. Lensed GW events will have very…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-29 Anupreeta More , Surhud More

Many objects discovered by LIGO and Virgo are peculiar because they fall in a mass range which in the past was considered unpopulated by compact object. Given the significance of the astrophysical implications, it is important to first…

High Energy Astrophysical Phenomena · Physics 2021-09-22 Xian Chen

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

Gravitational lensing is predicted by general relativity and is found in observations. When a gravitating body is surrounded by a plasma, the lensing angle depends on a frequency of the electromagnetic wave due to refraction properties, and…

Astrophysics · Physics 2009-11-13 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

We present some new derivations of the effect of a plane gravitational wave on a light ray. A simple interpretation of the results is that a gravitational wave causes a phase modulation of electromagnetic waves. We arrive at this picture…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Raymond Angélil , Prasenjit Saha

Wave effects can be important for the gravitational lensing of gravitational waves. In such a case, wave optics must be used in stead of geometric optics. We consider a plane wave entering a lens object and solve numerically the wave…

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

In one of our previous articles we have considered the role of a time dependent magnetic ellipticity on pulsars' braking indices and on the putative gravitational waves these objects can emit. Since only nine of more than 2000 known pulsars…

Solar and Stellar Astrophysics · Physics 2017-05-29 José C. N. de Araujo , Jaziel G. Coelho , César A. Costa

According to General Relativity (GR), gravitational waves (GWs) should travel at the speed of light $c$. However, some theories beyond GR predict deviations of the velocity of GWs $c_{\rm gw}$ from $c$, and some of those expect vacuum…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Tian-Yong Cao , Shu-Xu Yi

We explore the impact of corrections to the propagation on the waveforms of gravitationally lensed gravitational waves under the geometrical optics approximation, focusing on both uniform cosmological modifications and local modifications…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Hiroki Takeda , Takahiro Tanaka

In the framework of general relativity (GR), gravitational waves (GWs) travel at the speed of light across all frequencies. However, massive gravity and weak equivalence principle (WEP) violation may lead to frequency-dependent variations…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Xian-Liang Wang , Shu-Cheng Yang , Wen-Biao Han
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