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We review observations and gravitational lensing theory related to the magnification of background QSOs by intervening overdensities, and the induced cross-correlation between sources and foreground galaxies. We pay special attention to…

Astrophysics · Physics 2007-05-23 Antonio C. C. Guimarães

We initiate the study of gravitational-wave lensing in the wave-optics regime within modified gravity. We consider a phenomenological setup in which the gravitational-wave amplitude obeys a curvature-coupled propagation equation. This…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Alice Garoffolo , Gianmassimo Tasinato

An overview is given on those theoretical gravitational lensing results that can be formulated in a spacetime setting, without assuming that the gravitational fields are weak and that the bending angles are small. The first part is devoted…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Volker Perlick

Gravitational lensing deflects light. A single lens deflector can only shear images, but cannot induce rotations. Multiple lens planes can induce rotations. Such rotations can be observed in quadruply imaged sources, and can be used to…

Astrophysics · Physics 2010-11-19 Ue-Li Pen , Shude Mao

In this article we review the astrophysical application of gravitational microlensing. After introducing the history of gravitational lensing, we present the key equations and concept of microlensing. The most frequent microlensing events…

Instrumentation and Methods for Astrophysics · Physics 2016-03-21 Sohrab Rahvar

The observations of gravitational-wave signals from astrophysical sources such as binary inspirals will be used to test General Relativity for self consistency and against alternative theories of gravity. I describe a simple formula that…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Michele Vallisneri

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

For an analysis of microlensing observational data in case of binary gravitational lenses as well as for an interpretation of observations of high magnification events in multiple images of a lensed quasar it is necessary to calculate for a…

Astrophysics · Physics 2007-05-23 M. B. Bogdanov

Strong gravitational lensing has significantly advanced the study of high-redshift galaxies, but the differential magnification effect inevitably introduces biases in the spectral analysis of source galaxies. This work investigates these…

Astrophysics of Galaxies · Physics 2025-01-20 Wenshuo Xu , Dandan Xu , Xinzhong Er , Junqiang Ge

We investigate the effect of the cosmological expansion on the bending of light due to an isolated point-like mass. We adopt McVittie metric as the model for the geometry of the lens. Assuming a constant Hubble factor we find an analytic…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-27 Oliver F. Piattella

Various authors have investigated the problem of light deflection by radially moving gravitational lenses - with inconsistent results. In this paper we generalize the calculations for arbitrary lens velocities and show that, to first order…

Astrophysics · Physics 2007-05-23 Olaf Wucknitz , Ulrich Sperhake

We introduce the notion of defocusing gravitational lens considering a MACHO located behind a light source with respect to an observer. The consequence of defocusing effect is a temporal variability of star luminosity which produces a gap…

Generalizing a result for the binary lens, similar alternative expressions are also given for the Jacobian determinant for a gravitational lens consisting of an arbitrary number of discrete lensing centres, with arbitrary masses and…

Astrophysics · Physics 2007-05-23 T. Richard Carson

In gravitational lensing, the magnification effect changes the luminosity and size of a background galaxy. If the image sizes are not small compared to the scale over which the magnification and shear vary, higher-order distortions occur…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Xinzhong Er

For the first detection of a novel astrophysical phenomenon, scientific standards are particularly high. Especially in a multi-messenger context, there are also opportunity costs to follow-up observations on any detection claims. So in…

General Relativity and Quantum Cosmology · Physics 2025-05-06 David Keitel

Singularities of caustics appeared in gravitational lensing effect are discussed analytically. Multipole expansion model of lensing object is mainly studied since it is tractable and universal. Our analyses are confirmed by numerical…

Astrophysics · Physics 2009-10-28 Y. Kakigi , T. Okamura , T. Fukuyama

In general, in the studies of transit light-curves and the Rossiter-McLaughlin (RM), the contribution of the planet's gravitational microlensing is neglected. Theoretical studies, have, however shown that the planet's microlensing can…

Earth and Planetary Astrophysics · Physics 2013-10-31 M. Oshagh , G. Boué , P. Figueira , N. C. Santos , N. Haghighipour

Weak gravitational lensing from large-scale structure enhances and reduces the fluxes from extragalactic point sources with an rms amplitude of order 15%. In cosmic microwave background (CMB) experiments, sources exceeding some flux…

Astrophysics · Physics 2015-06-24 Max Tegmark , Jens Villumsen

We consider an alternative formula for time delay in gravitational lensing. Imposing a smoothness condition on the gravitationally deformed paths followed by the photons from the source to the observer, we show that our formula displays the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Nicola Alchera , Marco Bonici , Roberta Cardinale , Alba Domi , Nicola Maggiore , Chiara Righi , Silvano Tosi

In gravitational microlensing, binary systems may act as lenses or sources. Identifying lens binarity is generally easy especially in events characterized by caustic crossing since the resulting light curve exhibits strong deviations from…

Solar and Stellar Astrophysics · Physics 2016-06-08 A. A. Nucita , F. De Paolis , G. Ingrosso , M. Giordano , L. Manni