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We analyze strong gravitational lensing by a spherically symmetric mass distribution within the Einstein-Straus-de Sitter framework in a spatially open Universe with negative curvature ($k = -1$). Applying the theory to the lensed quasar…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Mourad Guenouche

A method of general applicability has been developed, whereby the null geodesic equations of the Einstein-Straus-de Sitter metric can be integrated simultaneously in terms of the curvature constant $k$. The purpose is to generalize the…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Mourad Guenouche

The time delay of strong lensing is computed in the framework of the Einstein-Straus solution. The theory is compared to the observational bound on the time delay of the lens SDSS J1004+4112.

Cosmology and Nongalactic Astrophysics · Physics 2011-05-09 Kheir-Eddine Boudjemaa , Mourad Guenouche , Sami R. Zouzou

We analyse strong lensing in the Einstein-Straus solution with positive cosmological constant. For concreteness we compare the theory to the light deflection of the lensed quasar SDSS J1004+4112.

Astrophysics · Physics 2009-07-22 Thomas Schucker

Strong lensing by an isolated spherically symmetric mass distribution is considered in presence of a positive cosmological constant. Deflection angles and time delay are computed and compared to the multiple image of the quasar SDSS…

Astrophysics · Physics 2008-05-13 Thomas Schucker

The effect of the cosmological constant on the time delay caused by an isolated spherical mass is calculated without using the lens equation and compared to a recent observational bound on the time delay of the lensed quasar SDSS…

Astrophysics · Physics 2009-11-13 Thomas Schucker , Noureddine Zaimen

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…

Astrophysics · Physics 2008-12-18 Mustapha Ishak

Gravitational lensing time delays are well known to depend on cosmological parameters, but they also depend on the details of the mass distribution of the lens. It is usual to model the mass distribution and use time-delay observations to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Irshad Mohammed , Prasenjit Saha , Jori Liesenborgs

Strong lensing time delay measurements provide a valuable and almost model-independent tool for cosmological investigations. In this work we recognize that they also carry information on the strength of the gravitational coupling at the…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-11 Leonardo Giani , Emmanuel Frion

The deflection and gravitational lensing of light and massive particles in arbitrary static, spherically symmetric and asymptotically (anti-)de Sitter spacetimes are considered in this work. We first proved that for spacetimes whose metric…

General Relativity and Quantum Cosmology · Physics 2021-10-13 Zixiao Li , Haotian Liu , Junji Jia

We derive new limits on the value of the cosmological constant, $\Lambda$, based on the Einstein bending of light by systems where the lens is a distant galaxy or a cluster of galaxies. We use an amended lens equation in which the…

Astrophysics · Physics 2009-11-13 Mustapha Ishak , Wolfgang Rindler , Jason Dossett , Jacob Moldenhauer , Chris Allison

We can think of a lensed quasar as taking the Hubble time, shrinking it by \~10^{-11}, and then presenting the result to us as a time delay; the shrinking factor is of the order of fractional sky-area that the lens occupies. This cute fact…

Astrophysics · Physics 2009-11-10 Prasenjit Saha

We study the deflection and time delay of light by the Sun in general scalar extensions of the Standard Model which may violate the equivalence principle. Despite the presence of the interaction $\phi FF$ or $\phi F \tilde{F}$ between the…

General Relativity and Quantum Cosmology · Physics 2019-02-14 Dongjin Chway

In 2007 Rindler and Ishak showed that, contrary to previous claims, the value of the cosmological constant does have an effect on light deflection by a gravitating object in an expanding universe, modeled by a Schwarzschild-de~Sitter…

General Relativity and Quantum Cosmology · Physics 2018-05-25 Mir Emad Aghili , Brett Bolen , Luca Bombelli

We extend the study of gravitational lensing to photons traversing the lens mass, modeled as a uniform-density fluid described by the interior Kottler (Schwarzschild--de Sitter) solution smoothly matched to the exterior Kottler region. An…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Mourad Guenouche

The cosmological constant Lambda affects gravitational lensing phenomena. The contribution of Lambda to the observable angular positions of multiple images and to their amplification and time delay is here computed through a study in the…

Astrophysics · Physics 2008-11-26 M. Sereno

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

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,…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-07 Angela L. H. Ng

Recently, we proposed a generalized Gibbons-Werner (GW) method for analyzing particle trajectories in rotating spacetimes, regardless of their asymptotic behavior [Huang \textit{et al.},…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Yang Huang , Xiangyun Fu , Zhenyan Lu , Xin Qin

Strong lensing time delay cosmography has excellent complementarity with other dark energy probes, and will soon have abundant systems detected. We investigate two issues in the imaging and spectroscopic followup required to obtain the time…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-16 Eric V. Linder
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