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The cosmic distance relation (DDR) associates the angular diameters distance ($D_A$) and luminosity distance ($D_L$) by a simple formula, i.e., $D_L=(1+z)^2D_A$. The strongly lensed gravitational waves (GWs) provide a unique way to measure…

General Relativity and Quantum Cosmology · Physics 2021-01-19 Hai-Nan Lin , Xin Li , Li Tang

We present the first lensing total mass estimate of a galaxy, at redshift 2.207, that acts as a gravitational deflector and damped Lyman-alpha absorber on the background QSO SDSS J1135-0010, at redshift 2.888. The remarkably small projected…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 C. Grillo , J. P. U. Fynbo

Gravitational waves emitted by chirping supermassive black hole binaries could in principle be used to obtain very accurate distance determinations. Provided they have an electromagnetic counterpart from which the redshift can be…

Astrophysics · Physics 2009-01-19 Jakob Jonsson , Ariel Goobar , Edvard Mortsell

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 a gravitational lensing system, the relative transverse velocities of the lens, source, and observer induce a frequency shift in the observed radiation. While this shift is typically negligible in most astrophysical contexts, strategies…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Mikołaj Korzyński , Mateusz Kulejewski

We investigate how central black holes (BHs) inhabited in galactic dark halos could affect strong gravitational lensing. The distribution of integral lensing probability with image separations are calculated for quasars of redshift 1.5 by…

Astrophysics · Physics 2009-11-07 Da-Ming Chen

Massive objects located between Earth and a compact binary merger can act as a magnifying glass improving the sensitivity of gravitational wave detectors to distant events. Depending on the parameters of the system, a point mass lens…

General Relativity and Quantum Cosmology · Physics 2023-10-27 Ruxandra Bondarescu , Helena Ubach , Oleg Bulashenko , Andrew P. Lundgren

The distance-redshift relation plays a fundamental role in constraining cosmological models. In this paper, we show that measurements of positions and time delays of strongly lensed images of a background galaxy, as well as those of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-21 Inh Jee , Eiichiro Komatsu , Sherry H. Suyu

(abridged) Using the particularly long gravitational microlensing event OGLE-2014-BLG-1186 with a time-scale $t_\mathrm{E}$ ~ 300 d, we present a methodology for identifying the nature of localised deviations from single-lens point-source…

For space-based gravitational wave (GW) detection, the main noise source for massive black hole binaries (MBHBs) is attributed to approximately $10^7$ double white dwarf binaries in the foreground. For a GW source, the amplitude of the…

High Energy Astrophysical Phenomena · Physics 2024-09-27 Pan Guo , Hong-Bo Jin , Cong-Feng Qiao , Yue-Liang Wu

Weak gravitational lensing provides a direct way to study the mass distribution of clusters of galaxies at large radii. Unfortunately, large scale structure along the line of sight also contributes to the lensing signal, and consequently…

Astrophysics · Physics 2009-11-07 Henk Hoekstra

We compute the accuracy at which a LISA-like space-based gravitational wave detector will be able to observe deviations from General Relativity in the low frequency approximation. To do so, we introduce six correction parameters that…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Cédric Huwyler , Antoine Klein , Philippe Jetzer

Femtolensing is a gravitational lensing effect in which the magnification is a function not only of the positions and sizes of the source and lens, but also of the wavelength of light. Femtolensing is the only known effect of…

Astrophysics · Physics 2009-10-22 A. Ulmer , J. Goodman

In strong gravitational lensing, the multiple images we see correspond to light rays that leave the source in slightly different directions. If the source emission is anisotropic, the images may differ from conventional lensing predictions…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Rosalba Perna , Charles R. Keeton

Evaluating the Kirchhoff-Fresnel diffraction integral is essential in studying wave effects in astrophysical lensing, but is often intractable because of the highly oscillatory integrated. A recent breakthrough was made by exploiting the…

Instrumentation and Methods for Astrophysics · Physics 2024-09-23 Xun Shi

With increasing sensitivities of the current ground-based gravitational-wave (GW) detectors, the prospects of detecting a strongly lensed GW signal are going to be high in the coming years. When such a signal passes through an intervening…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-13 Anuj Mishra , Ashish Kumar Meena , Anupreeta More , Sukanta Bose , J S Bagla

Future gravitational wave (GW) observations are capable of detecting millions of compact star binary mergers in extragalactic galaxies, with $1\%$ luminosity-distance ($D_L$) measurement accuracy and better than arcminute positioning…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-30 Pengjie Zhang

Strong gravitational lensing occurs when photons pass through the vicinity of a black hole. We investigate this phenomenon in the context of a gravitational-wave event, specifically when a black hole is settling into its final state. The…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Zhen Zhong , Vitor Cardoso , Yifan Chen

De-diffraction (DD), a new procedure to totally cancel diffraction effects from wave-fields is presented, whereby the full field from an aperture is utilized and a truncated geometrical field is obtained, allowing infinitely sharp focusing…

General Physics · Physics 2007-05-23 V. F. Tamari

As the gravitational wave detector network is upgraded and the sensitivity of the detectors improves, novel scientific avenues open for exploration. For example, tests of general relativity will become more accurate as smaller deviations…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Mick Wright , Justin Janquart , Nathan K. Johnson-McDaniel