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The light travel time differences in strong gravitational lensing systems allows an independent determination of the Hubble constant. This method has been successfully applied to several lens systems. The formally most precise measurements…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Peter Schneider , Dominique Sluse

Strong gravitational lensing has to deal with many modeling degeneracies, the most notable being the Mass Sheet Degeneracy (MSD). We review the MSD when one needs to model more lens planes, each one with an internal mass sheet. We take into…

Astrophysics of Galaxies · Physics 2026-04-03 Luca Teodori

Attempts to constrain the Hubble constant using the strong gravitational lens system Q0957+561 are limited by systematic uncertainties in the mass model, since the time delay is known very precisely. One important systematic effect is the…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 R. Nakajima , G. M. Bernstein , R. Fadely , C. R. Keeton , T. Schrabback

Context. Time delay lensing is a powerful tool to measure the Hubble constant $H_0$. In order to obtain an accurate estimate of $H_0$ from a sample of time delay strong lenses, however, it is necessary to have a very good knowledge of the…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-22 Alessandro Sonnenfeld

The inversion of gravitational lens systems is hindered by the fact that multiple mass distributions are often equally compatible with the observed properties of the images. Besides using clear examples to illustrate the effect of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 J. Liesenborgs , S. De Rijcke

Gravitational lensing offers a competitive method to measure $H_0$ with the goal of 1% precision. A major obstacle comes in the form of lensing degeneracies, such as the mass sheet degeneracy (MSD), which make it possible for a family of…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-01 Matthew R. Gomer , Liliya L. R. Williams

The Hubble constant ($H_0$), a crucial parameter in cosmology, quantifies the expansion rate of the universe so its precise measurement is important to understand the fundamental dynamics of our evolving universe. One of the major…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-29 Narayan Khadka , Simon Birrer , Alexie Leauthaud , Holden Nix

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

Double-plane gravitational lensing is a rare but increasingly observed phenomenon in which the light from a distant source is lensed by two foreground objects at different redshifts. Such systems can be used to provide simultaneous…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-04 Daniel Johnson , Pierre Fleury , Martin Millon

Cosmological parameter constraints from observations of time-delay lenses are becoming increasingly precise. However, there may be significant bias and scatter in these measurements due to, among other things, the so-called mass-sheet…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Amitpal S. Tagore , David J. Barnes , Neal Jackson , Scott T. Kay , Matthieu Schaller , Joop Schaye , Tom Theuns

The Hubble constant can be constrained using the time delays between multiple images of gravitationally lensed sources. In some notable cases, typical lensing analyses assuming isothermal galaxy density profiles produce low values for the…

Astrophysics · Physics 2008-07-29 Virginia L. Corless , Benjamin M. Dobke , Lindsay J. King

The Hubble Deep Field (North) and the flanking fields are used investigate the occurrence of multiple weak lensing deflections along the line of sight in relatively deep imaging data (z_lens ~ 0.6, z_source ~ 1.2). Ray tracing simulations…

Astrophysics · Physics 2009-11-10 Tereasa G. Brainerd

With future wide and deep cosmological sky surveys, a large number of gravitationally lensed, multiply imaged systems will be found. In addition to multiply imaged galaxies and quasars, sources will include transient events like supernovae…

Astrophysics · Physics 2009-11-13 Edvard Mortsell , Christoffer Sunesson

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 give a physical interpretation of the formalism intrinsic degeneracies of the gravitational lensing formalism that we derived on a mathematical basis in part IV of this series. We find that all degeneracies occur due to the partition of…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-19 Jenny Wagner

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 2007-05-23 M. Bradac , M. Lombardi , P. Schneider

Measurements of The Hubble-Lemaitre constant from early- and local-universe observations show a significant discrepancy. In an attempt to understand the origin of this mismatch, independent techniques to measure H0 are required. One such…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-21 Nan Li , Christoph Becker , Simon Dye

Mass determinations from gravitational lensing shear and the higher order estimator flexion are both subject to the mass sheet degeneracy. Mass sheet degeneracy refers to a transformation that leaves the reduced shear and flexion invariant.…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 Markus Rexroth , Priyamvada Natarajan , Jean-Paul Kneib

A degeneracy in strong lens model is shown analytically. The observed time delays and quasar image positions might {\it not} uniquely determine the concentration and the extent of the lens galaxy halo mass distribution. Simply hardwiring…

Astrophysics · Physics 2009-11-07 HongSheng Zhao , Bo Qin

We discuss a simple parameter degeneracy in lens models which follows directly from the well known mass sheet degeneracy and prevents determining the radial mass distribution from lensing alone for many systems. For cosmological important…

Astrophysics · Physics 2007-05-23 Olaf Wucknitz , Sjur Refsdal
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