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We investigate strong lensing by a spherically symmetric mass distribution in the framework of the Einstein-Straus solution with positive cosmological constant and concentrate on the case of a spatially closed Universe ($k=+1$). We develop…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Mourad Guenouche , Sami Ryad Zouou

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 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 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

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

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

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

Debate persists as to whether the cosmological constant $\Lambda$ can directly modify the power of a gravitational lens. With the aim of reestablishing a consensus on this issue, I conduct a comprehensive analysis of gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Luke M. Butcher

The detailed study of the strong gravitational lensing of a Kerr black hole within Quantum Einstein Gravity (QEG) is performed. We calculate the photon sphere, the deflection angle of light, and observables on the equatorial plane under the…

General Relativity and Quantum Cosmology · Physics 2024-09-09 Chen-Hao Xie , Yu Zhang , Bo-Li Liu , Peng-Fei Duan , Yu-Li Lou

With the distance sum rule in the Friedmann-Lema\^{\i}tre-Robertson-Walker metric, model-independent constraints on both the Hubble constant $H_0$ and spatial curvature $\Omega_{K}$ can be obtained using strong lensing time-delay data and…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 Jun-Jie Wei , Fulvio Melia

There are now 10 firm time delay measurements in gravitational lenses. The physics of time delays is well understood, and the only important variable for interpreting the time delays to determine H_0 is the mean surface mass density <k> (in…

Astrophysics · Physics 2007-05-23 C. S. Kochanek , P. L. Schechter

We derive angle differences between two null geodesics, propagating from light sources to an observer, on the de Sitter spacetime with multi-lensing objects. Assuming the lensing objects are mass monopoles on the de Sitter background, we…

General Relativity and Quantum Cosmology · Physics 2020-10-30 Rio Saitou , Hiromi Saida

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 generalize the Rindler-Ishak (2007) result for the lensing deflection angle in a SdS spacetime, to the case of a general spherically symmetric fluid beyond the cosmological constant. We thus derive an analytic expression to first…

General Relativity and Quantum Cosmology · Physics 2023-06-28 L. Perivolaropoulos , I. Antoniou , D. Papadopoulos

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

We analyze gravitational lensing in a matched Kottler spacetime with cosmological constant $\Lambda$, where a uniform-density fluid sphere described by the interior Kottler solution is smoothly joined to the exterior Kottler region. We…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Mourad Guenouche

Recent studies suggest that the cosmological constant affects the gravitational bending of photons although the orbital equation for light in Schwarzschild-de Sitter space time is free from cosmological constant. Here we argued that the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Arunava Bhadra , Swarnadeep Biswas , Kabita Sarkar

In this paper, we go further and propose a cosmological model-independent approach to simultaneously determine the Hubble constant and cosmic curvature with strong lensing time-delay measurements, without any prior assumptions regarding the…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-19 Tonghua Liu , Shuo Cao , Sixuan Zhang , Chenfa Zheng , Wuzheng Guo

In this work we study the deflection angle $\Delta \varphi$ and gravitational lensing of both lightlike and timelike neutral rays in Reissner-Nordstr\"om (RN) spacetimes. The exact deflection angle is found as an elliptical function of the…

General Relativity and Quantum Cosmology · Physics 2019-03-20 Xiankai Pang , Junji Jia

Strongly gravitational lensed quasars can be used to measure the so-called time-delay distance $D_{\Delta t}$, and thus the Hubble constant $H_0$ and other cosmological parameters. Stellar kinematics of the deflector galaxy play an…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-17 Anowar J. Shajib , Tommaso Treu , Adriano Agnello
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