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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

The pair-instability supernova (PISN) mechanism predicts a mass gap in the black hole population, where no stellar-origin black holes are expected to form. However, several binary black hole (BBH) merger events exhibit component masses that…

High Energy Astrophysical Phenomena · Physics 2026-05-29 Qiyuan Yang , Zhi-Qiang You , Xilong Fan

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

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

GW number count can be used as a novel tracer of the large scale structure (LSS) in the luminosity distance space (LDS), just like galaxies in the redshift space. It is possible to obtain the $D_L-D_A$ duality relation with clustering…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-07 Qing Yang , Bin Hu

The gravitational lensing wave effect generated by a microlensing field embedded in a lens galaxy is an inevitable phenomenon in strong lensed gravitational waves (SLGWs). This effect presents both challenges and opportunities for the…

Instrumentation and Methods for Astrophysics · Physics 2024-12-24 Xikai Shan , Guoliang Li , Xuechun Chen , Wen Zhao , Bin Hu , Shude Mao

Gravitational waves (GW) from chirping binary black holes (BBHs) provide unique opportunities to test general relativity (GR) in the strong-field regime. However, testing GR can be challenging when incomplete physical modeling of the…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Anuj Mishra , N. V. Krishnendu , Apratim Ganguly

Gravitational-wave (GW) scattering in strong gravitational fields is a central problem in GW lensing. Yet, conventional treatments based on asymptotic expansions suffer from divergences and become unreliable near the optical axis. In this…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Zhao Li , Shaoqi Hou , Wen Zhao

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

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

This work studies interference patterns created by simple lens models (point mass, Chang-Refsdal, and binary lens) in the wave optics regime, primarily in the context of lensing of gravitational waves (GWs) in the LIGO band at frequencies…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Ashish Kumar Meena

Searches for gravitational waves with km-scale laser interferometers often involve the long-wavelength approximation to describe the detector response. The prevailing assumption is that the corrections to the detector response due to its…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Rakhmanov , J. D. Romano , J. T. Whelan

We have worked out simple analytical formulae that accurately approximate the relationship between the position of the source with respect to the lens center and the amplification of the images, hence the lens cross section, for realistic…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 A. Lapi , M. Negrello , J. Gonzalez-Nuevo , Z. -Y. Cai , G. De Zotti , L. Danese

Gravitational waves (GWs) exhibit wave-optics effects when their wavelength is comparable to the scale of the gravitational lens. This may occur in lensing from galactic subhalos in GWs emitted by binary black-hole mergers, and is gaining…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-16 Nino Ephremidze , Marc Kamionkowski , Cora Dvorkin

Subhalos at subgalactic scales ($M\lesssim 10^7 M_\odot$ or $k\gtrsim 10^3 \,{\rm Mpc}^{-1}$) are pristine test beds of dark matter (DM). However, they are too small, diffuse and dark to be visible, in any existing observations. In this…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-07 Han Gil Choi , Chanung Park , Sunghoon Jung

The unusual properties of GW231123, including component masses within the pair-instability mass gap ($137^{+22}_{-17}\mathrm{M}_\odot$ and $103^{+20}_{-52}\mathrm{M}_\odot$ at 90\% credible intervals) and extremely large spins near the Kerr…

Astrophysics of Galaxies · Physics 2025-12-23 Xikai Shan , Huan Yang , Shude Mao

It is well known that the solar gravitational field can be considered as a telescope with a prime focus at locations beyond 550 au. In this work we present a new derivation of the wave-optical properties of the system, by adapting the…

Instrumentation and Methods for Astrophysics · Physics 2022-10-05 Sara Engeli , Prasenjit Saha

In an edge-on and detached binary system, including a white dwarf (WD) and a main-sequence star (WDMS), when the source star is passing behind the compact companion its light is bent and magnified. Meanwhile, some part of its images' area…

Solar and Stellar Astrophysics · Physics 2024-10-08 Sedighe Sajadian , Hossein Fatheddin

Calculations are presented detailing the gravitational lens diffraction due to the steep brightness gradient of the limb of a stellar source. The lensing case studied is the fold caustic crossing. The limb diffraction signal greatly exceeds…

Astrophysics · Physics 2008-11-26 S. A. Zabel , J. B. Peterson

The gravitational waves (GWs) emitted by inspiraling binary black holes, expected to be detected by the Laser Interferometer Space Antenna (LISA), could be used to determine the luminosity distance to these sources with the unprecedented…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Cien Shang , Zoltan Haiman