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This paper shows that the mass-sheet degeneracy and other degeneracies in lensing have simple geometrical interpretations: they are mostly rescalings of the arrival-time surface. Different degeneracies appear in Local Group lensing and in…

Astrophysics · Physics 2009-10-31 Prasenjit Saha

Strong gravitational lensing provides a wealth of astrophysical information on the baryonic and dark matter content of galaxies. It also serves as a valuable cosmological probe by allowing us to measure the Hubble constant independently of…

Astrophysics of Galaxies · Physics 2021-03-31 A. Galan , A. Peel , R. Joseph , F. Courbin , J. -L. Starck

Strong gravitational lens systems with extended sources are of special interest because they provide additional constraints on the models of the lens systems. To use a gravitational lens system for measuring the Hubble constant, one would…

Astrophysics · Physics 2009-11-11 S. H. Suyu , P. J. Marshall , M. P. Hobson , R. D. Blandford

It is known that a relative translational motion between the deflector and the observer affects gravitational lensing. In this paper, a lens equation is obtained to describe such effects on actual lensing observables. Results can be easily…

Astrophysics · Physics 2008-11-26 M. Sereno

Mass clumps in gravitational lens galaxies can perturb lensed images in characteristic ways. Strong lens flux ratios have been used to constrain the amount of dark matter substructure in lens galaxies, and various other observables have…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-24 Charles R. Keeton

Strongly lensed explosive transients such as supernovae, gamma-ray bursts, fast radio bursts, and gravitational waves are very promising tools to determine the Hubble constant ($H_0$) in the near future in addition to strongly lensed…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-11 Xuheng Ding , Kai Liao , Simon Birrer , Anowar J. Shajib , Tommaso Treu , Lilan Yang

Weak gravitational lensing is considered to be one of the most powerful tools to study the mass and the mass distribution of galaxy clusters. However, weak lensing mass reconstructions are plagued by the so-called mass-sheet degeneracy--the…

Astrophysics · Physics 2010-12-16 M. Bradac , M. Lombardi , P. Schneider

We present the analysis of a sample of twenty-four SLACS-like galaxy-galaxy strong gravitational lens systems with a background source and deflectors from the Illustris-1 simulation. We study the degeneracy between the complex mass…

Astrophysics of Galaxies · Physics 2020-05-27 W. Enzi , S. Vegetti , G. Despali , J. -W. Hsueh , R. B. Metcalf

We study gravitational lensing when plasma surrounds the lens. An extra deflection angle is induced by the plasma in addition to the deflection generated by gravity. An inhomogeneous plasma distribution generates a greater effect than a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Xinzhong Er , Shude Mao

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

We investigate the possibility of determining the mass distribution of a gravitational lens via lensing observations. We consider an extended, compact gravitational lens, representing its static external gravitational potential via an…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Slava G. Turyshev , Viktor T. Toth

Strong lensing has developed into an important astrophysical tool for probing both cosmology and galaxies (their structure, formation, and evolution). Using the gravitational lensing theory and cluster mass distribution model, we try to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shuo Cao , Yu Pan , Marek Biesiada , Wlodzimierz Godlowski , Zong-Hong Zhu

Modeling the mass distribution of galaxy-scale strong gravitational lenses is a task of increasing difficulty. The high-resolution and depth of imaging data now available render simple analytical forms ineffective at capturing lens…

Instrumentation and Methods for Astrophysics · Physics 2022-12-21 Aymeric Galan , Georgios Vernardos , Austin Peel , Frédéric Courbin , Jean-Luc Starck

The time delay between the arrival of photons of multiple images of time variable sources can be used to constrain absolute distances in the Universe (Refsdal 1964), and in turn obtain a direct estimate of the Hubble constant and other…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-21 Simon Birrer , Tommaso Treu

Strong gravitational lens systems with measured time delays between the multiple images provide a method for measuring the "time-delay distance" to the lens, and thus the Hubble constant. We present a Bayesian analysis of the strong…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-08 S. H. Suyu , P. J. Marshall , M. W. Auger , S. Hilbert , R. D. Blandford , L. V. E. Koopmans , C. D. Fassnacht , T. Treu

The phenomenon of cosmic shear, or distortion of images of distant sources unaccompanied by magnification, is an effective way of probing the content and state of the foreground Universe, because light rays do not have to pass through mass…

Astrophysics · Physics 2009-11-13 Richard Lieu

As the Universe expands, the redshift of distant sources changes with time. Here we discuss gravitational lensing phenomena that are consequence of the redshift drift between lensed source, gravitational lens, and observer. When the source…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-01 Giovanni Covone , Mauro Sereno

In the context of strong gravitational lensing, the magnification of image is of crucial importance to constrain various lens models. For several commonly used quadruple lens models, the magnification invariants, defined as the sum of the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Chengliang Wei , Zhe Chu , Yiping Shu

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

Massive structures, such as galaxies, act as strong gravitational lenses on background sources. When the background source is a quasar, several lensed images are seen, as magnified or de-magnified versions of the same object. The detailed…

Astrophysics · Physics 2007-05-23 F. Courbin , P. Saha , P. L. Schechter