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In strong gravitational lens systems, the light bending is usually dominated by one main galaxy, but may be affected by other mass along the line of sight (LOS). Shear and convergence can be used to approximate the contributions from less…

宇宙学与河外天体物理 · 物理学 2014-09-09 Curtis McCully , Charles R. Keeton , Kenneth C. Wong , Ann I. Zabludoff

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…

星系天体物理 · 物理学 2026-04-03 Luca Teodori

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…

广义相对论与量子宇宙学 · 物理学 2022-05-10 Pierre Fleury , Julien Larena , Jean-Philippe Uzan

The effect of currents of mass on bending of light rays is considered in the weak field regime. Following Fermat's principle and the standard theory of gravitational lensing, we derive the gravitomagnetic correction to time delay function…

天体物理学 · 物理学 2009-11-07 M. Sereno

The gravitational lens equation resulting from a single (non-linear) mass concentration (the main lens) plus inhomogeneities of the large-scale structure is shown to be strictly equivalent to the single-plane gravitational lens equation…

天体物理学 · 物理学 2015-06-24 Peter Schneider

The images of many distant galaxies are displaced, distorted and often multiplied by the presence of foreground massive galaxies near the line of sight; the foreground galaxies act as gravitational lenses. Commonly, the lens equation, which…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Simonetta Frittelli , Thomas P. Kling , Ezra T. Newman

We present a simplified version of the lowest-order embedded point mass gravitational lens theory and then make the extension of this theory to any embedded transparent lens. Embedding a lens effectively reduces the gravitational…

宇宙学与河外天体物理 · 物理学 2015-11-17 Ronald Kantowski , Bin Chen , Xinyu Dai

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…

宇宙学与河外天体物理 · 物理学 2026-02-04 Daniel Johnson , Pierre Fleury , Martin Millon

Gravitational lensing in metric theories of gravity is discussed. I introduce a generalized approximate metric element, inclusive of both post-post-Newtonian (ppN) contributions and gravito-magnetic field. Following Fermat's principle and…

天体物理学 · 物理学 2009-11-07 M. Sereno

We give the lens equation for light deflections caused by point mass condensations in an otherwise spatially homogeneous and flat universe. We assume the signal from a distant source is deflected by a single condensation before it reaches…

宇宙学与河外天体物理 · 物理学 2015-05-28 Bin Chen , Ronald Kantowski , Xinyu Dai

Even when used to describe the same phenomenon, equations, graphics and words each give different perspectives and lead to complementary insights. The basic elements of strong gravitational lensing are introduced here favoring words and…

宇宙学与河外天体物理 · 物理学 2025-05-30 Paul L. Schechter , Jeremy D. Schnittman

Using Fermat's principle, we analyze the effects of very long wavelength gravitational waves upon the images of a gravitationally lensed quasar. We show that the lens equation in the presence of gravity waves is equivalent to that of a lens…

天体物理学 · 物理学 2011-09-09 J. Frieman , D. Harari , G. Surpi

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…

宇宙学与河外天体物理 · 物理学 2018-07-04 Nicola Alchera , Marco Bonici , Roberta Cardinale , Alba Domi , Nicola Maggiore , Chiara Righi , Silvano Tosi

The light we observe from distant astrophysical objects including supernovae and quasars allows us to determine large distances in terms of a cosmological model. Despite the success of the standard cosmological model in fitting the data,…

宇宙学与河外天体物理 · 物理学 2024-05-07 Angela L. H. Ng

Based on the standard gravitational lensing formalism with its effective, projected lensing potential in a given background cosmology, we investigate under which transformations of the source position and of the deflection angle the…

宇宙学与河外天体物理 · 物理学 2018-12-05 Jenny Wagner

Understanding the deflection of light by a massive deflector, as well as the associated gravitational lens phenomena, require the use of the theory of General Relativity. I consider here a classical approach, based on Newton's equation of…

物理教育 · 物理学 2008-03-05 T. Garel

The contribution of the cosmological constant to the deflection angle and the time delays are derived from the integration of the gravitational potential as well as from Fermat's Principle. The findings are in agreement with recent results…

天体物理学 · 物理学 2008-12-18 Mustapha Ishak

Gravitational and plasma lensing share the same mathematical formalism in the limit of geometrical optics. Both phenomena can be effectively described by a projected, two-dimensional deflection potential whose gradient causes an…

宇宙学与河外天体物理 · 物理学 2020-07-01 Jenny Wagner , Xinzhong Er

The main obstacle for gravitational lensing to determine accurate masses of deflectors, or to determine precise estimates for the Hubble constant, is the degeneracy of lensing observables with respect to the mass-sheet transformation (MST).…

宇宙学与河外天体物理 · 物理学 2014-05-08 Peter Schneider , Dominique Sluse

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…

天体物理学 · 物理学 2008-11-26 Uros Seljak
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