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This review surveys some recent developments concerning the effect of the cosmological constant on the bending of light by a spherical mass in Kottler (Schwarzchild-de Sitter) spacetime. Some proposals of how such an effect may be put into…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-01 Mustapha Ishak , Wolfgang Rindler

Several recent papers have suggested that the cosmological constant Lambda directly influences the gravitational deflection of light. We place this problem in a cosmological context, deriving an expression for the linear potentials which…

Astrophysics · Physics 2012-01-16 Fergus Simpson , John A. Peacock , Alan F. Heavens

The question of whether or not the cosmological constant affects the bending of light around a concentrated mass has been the subject of some recent papers. We present here a simple, specific and transparent example where $\Lambda$ bending…

Astrophysics · Physics 2011-04-07 Mustapha Ishak , Wolfgang Rindler , Jason Dossett

The solution of the null non-radial geodesic in a Schwarzschild-de Sitter background is revisited. The gravitational bending of a light ray is affected by the cosmological constant, in agreement with the findings of some previous…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Tolu Biressa , J. A. de Freitas Pacheco

We revisit the question of whether the cosmological constant $\Lambda$ affects the cosmological gravitational bending of light, by numerical integration of the geodesic equations for a Swiss cheese model consisting of a point mass and a…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-16 Lingyi Hu , Alan Heavens , David Bacon

The long-standing problem of whether the cosmological constant affects directly the deflection of light caused by a gravitational lens is reconsidered. We use a new approach based on the Hawking quasilocal mass of a sphere grazed by light…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Valerio Faraoni , Marianne Lapierre-Leonard

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 effect of the cosmological constant on the curvature of light due to an isolated spherical mass is recalculated without using the lens equation and compared to a lensing cluster.

Astrophysics · Physics 2009-06-23 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

We revisit the effect of cosmological constant $\Lambda$ on the light deflection and its role in the cosmological lens equation. First, we re-examine the motion of photon in the Schwarzschild spacetime, and explicitly describe the…

General Relativity and Quantum Cosmology · Physics 2012-02-06 Hideyoshi Arakida , Masumi Kasai

The cosmological constant Lambda affects cosmological gravitational lensing. Effects due to Lambda can be studied in the framework of the Schwarzschild-de Sitter spacetime. Two novel contributions, which can not be accounted for by a proper…

Astrophysics · Physics 2009-02-23 M. Sereno

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

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

We study the effect of the cosmological constant $\Lambda$ on the bending of light by a concentrated spherically symmetric mass. Contrarily to previous claims, we show that when the Schwarzschild-de Sitter geometry is taken into account,…

Astrophysics · Physics 2008-11-26 Wolfgang Rindler , Mustapha Ishak

We study the effect of the cosmological constant on the statistical properties of gravitational lenses in flat cosmologies (Omega_{0}+lambda_{0} = 1). It is shown that some of the lens observables are strongly affected by the cosmological…

Astrophysics · Physics 2009-10-30 Deepak Jain , N. Panchapakesan , S. Mahajan , V. B. Bhatia

An analysis of null geodesics in Schwarzschild de Sitter space is presented with special attention to their global `bending angles', local measurable angles, and the involvement of the cosmological constant. We make use of a general…

General Relativity and Quantum Cosmology · Physics 2016-09-19 Dmitri Lebedev , Kayll Lake

We take another look at the equations behind the description of light bending in a Universe with a cosmological constant. We show that even within the impact parameter entering into the photon's differential equation, and which is defined…

General Relativity and Quantum Cosmology · Physics 2015-08-17 Fayçal Hammad

In this paper we review and build on the common methods used to analyze null geodesics in Schwarzschild de Sitter space. We present a general technique which allows finding measurable intersection angles of null trajectories analytically,…

General Relativity and Quantum Cosmology · Physics 2013-08-23 Dmitri Lebedev , Kayll Lake

The bending of light in Kottler space (the Schwarzschild vacuum with cosmological constant) is examined. Unlike the advance of the perihelion, the cosmological constant produces no change in the bending of light. In this note we examine the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kayll Lake

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
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