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We examine the ability of gravitational lens time delays to reveal complex structure in lens potentials. In Congdon, Keeton & Nordgren (2008), we predicted how the time delay between the bright pair of images in a "fold" lens scales with…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Arthur B. Congdon , Charles R. Keeton , C. Erik Nordgren

Gravitational lensing of a background source by a foreground galaxy lens occasionally produces four images of the source. The cusp and the fold relations impose conditions on the ratios of magnifications of these four-image lenses. In this…

Astrophysics · Physics 2009-11-11 Amir Babak Aazami , Priyamvada Natarajan

Strong gravitational lensing of time variable sources such as quasars and supernovae creates observable time delays between the multiple images. Time delays can provide a powerful cosmographic probe through the "time delay distance"…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-18 Alireza Hojjati , Alex G. Kim , Eric V. Linder

Time delays between lensed multiple images have been known to provide an interesting probe of the Hubble constant, but such application is often limited by degeneracies with the shape of lens potentials. We propose a new statistical…

Astrophysics · Physics 2008-11-26 Masamune Oguri

We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-01 A. N. Alexandrov , S. M. Koval , V. I. Zhdanov

We compute the fluctuations in gravitational lens image positions and time delay caused by large scale structure correlations. We show that these fluctuations can be expressed as a simple integral over the density power spectrum. Using the…

Astrophysics · Physics 2008-11-26 Uros Seljak

When the source in a 4-image gravitational lens lies close to a "fold" caustic, two of the lensed images lie close together. If the lens potential is smooth on the scale of the separation between the two close images, then the difference…

Astrophysics · Physics 2009-11-10 Charles R. Keeton , B. Scott Gaudi , A. O. Petters

We study the problem of gravitational lensing by an isothermal elliptical density galaxy in the presence of a tidal perturbation. When the perturbation is fairly strong and oriented near the galaxy's minor axis, the lens can produce image…

Astrophysics · Physics 2009-10-31 C. R. Keeton , S. Mao , H. J. Witt

In this work, we mainly study the magnification relations of quad lens models for cusp, fold and cross configurations. By dividing and ray-tracing in different image regions, we numerically derive the positions and magnifications of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-30 Zhe Chu , G. L. Li , W. P. Lin , H. X. Pan

Gravitational lensing of point sources located inside the lens caustic is known to produce four images in a configuration closely related to the source position. We study this relation in the particular case of a sample of quadruply-imaged…

Astrophysics of Galaxies · Physics 2021-01-13 P. Tuan-Anh , T. T. Thai , N. A. Tuan , P. Darriulat , P. N. Diep , D. T. Hoai , N. B. Ngoc , P. T. Nhung , N. T. Phuong

Time delays in gravitational lenses can be used to determine the Hubble constant and the lens potential. In future surveys, many gravitational lenses can be discovered, and their time delays and image positions can in principle be measured.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-10 Hans Witt , Shude Mao

Gravitational lensing is the deflection of light rays due to the gravity of intervening masses. This phenomenon is observed in a variety of scales and configurations, involving any non-uniform mass such as planets, stars, galaxies, clusters…

The precision reached by current and forthcoming strong-lensing observations requires to accurately model various perturbations to the main deflector. Hitherto, theoretical models have been developed to account for either cosmological…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Pierre Fleury , Julien Larena , Jean-Philippe Uzan

The gravitational field of a galaxy can act as a lens and deflect the light emitted by a more distant object such as a quasar. Strong gravitational lensing causes multiple images of the same quasar to appear in the sky. Since the light in…

Instrumentation and Methods for Astrophysics · Physics 2017-10-06 Hyungsuk Tak , Kaisey Mandel , David A. van Dyk , Vinay L. Kashyap , Xiao-Li Meng , Aneta Siemiginowska

We provide a geometric explanation for the existence of magnification relations for the A, D, E family of caustic singularities, which were established in recent work. In particular, it was shown that for families of general mappings…

Mathematical Physics · Physics 2011-04-07 Amir B. Aazami , Arlie O. Petters , Jeffrey M. Rabin

Gravitational time delays, observed in strong lens systems where the variable background source is multiply-imaged by a massive galaxy in the foreground, provide direct measurements of cosmological distance that are very complementary to…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Tommaso Treu , Philip J. Marshall

While the Hubble constant can be derived from observable time delays between images of lensed quasars, the result is often highly sensitive to assumptions and systematic uncertainties in the lensing model. Unlike most previous authors we…

Astrophysics · Physics 2009-10-31 HongSheng Zhao , Danny Pronk

The time delay between two relativistic images in the strong gravitational lensing governed by Gauss-Bonnet gravity is studied. We derive and calculate the expression of time delay due to the Gauss-Bonnet coupling. It is shown that the time…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Jingyun Man , Hongbo Cheng

Effects of macro-and microlensing on the spatial and temporal characteristics of images of remote sources, observed through the inner regions of lensing galaxies are discussed. A particular attention was given to the case, when microlenses,…

Astrophysics · Physics 2007-05-23 A. A. Minakov , V. G. Vakulik

Gravitational lensing by the dual cusp catastrophes of the cold dark matter (CDM) caustic rings at cosmological distances may provide the tantalizing opportunity to detect CDM indirectly, and discriminate between axions and weakly…

Astrophysics · Physics 2007-08-21 V. K. Onemli
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