Deflection of light and time delay in closed Einstein-Straus solution

Guenouche, Mourad; Zouzou, Sami R.

doi:10.1103/physrevd.98.123508

Cited by 6 publications

(3 citation statements)

References 41 publications

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“…Also the method has been applied to galactic halos, of which an excellent example is the Mannheim-Kazanas solution of conformal Weyl gravity [33][34][35]. For further insight into the use of the Rindler-Ishak method, see [36][37][38][39][40].…”

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confidence: 99%

Bending of light in novel 4D Gauss-Bonnet-de Sitter black holes by the Rindler-Ishak method

Heydari-Fard¹,

Sepangi²

2021

EPL

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We study the bending of light in the space-time of black holes in the four-dimensional Einstein-Gauss-Bonnet theory of gravity, recently proposed by Glavan and Lin in Phys. Rev. Lett., 124 (2020) 081301. Using the Rindler-Ishak method, the effect of Gauss-Bonnet coupling on the bending angle is studied. We show that a positive Gauss-Bonnet coupling gives a negative contribution to the Schwarzschild-de Sitter deflection angle, as one would expect.

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confidence: 99%

Bending of light in novel 4D Gauss-Bonnet-de Sitter black holes by the Rindler-Ishak method

Heydari-Fard¹,

Sepangi²

2021

EPL

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“…In [16], Schucker used a similar method to estimate the bending angle for a lensing cluster at fixed redshift, and found that when a higher Λ was used, the bending angle decreased (table 4 in [16]), which appears to be in agreement with Rindler and Ishak's claim that Λ attenuates lensing. Guenouche et al [27] also used a similar formalism and reached the same conclusion. The decrease in bending angle was as much as 10% when Λ increased by 20%.…”

Section: Jcap02(2022)009mentioning

confidence: 55%

Light bending by the cosmological constant

Hu¹,

Heavens²,

Bacon³

2022

J. Cosmol. Astropart. Phys.

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We revisit the question of whether the cosmological constant Λ 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 compensated vacuole, in a Friedmann-Robertson-Walker background. We find that there is virtually no dependence of the light bending on the cosmological constant that is not already accounted for in the angular diameter distances of the standard lensing equations, plus small modifications that arise because the bending is restricted to a finite region covered by the hole. The residual Λ dependence for a 1013 M ☉ lens is at the level of 1 part in 107, and even this might be accounted for by small changes in the hole size evolution as the photon crosses. We therefore conclude that there is no need for modification of the standard cosmological lensing equations in the presence of a cosmological constant.

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“…In addition, in both cases, the first-order contribution from the cosmological constant is negative, so that the cosmological constant Λ diminishes the bending (see also Ref. [9,55]). However, due to the different methods used to calculate the bending angle, this term is different in the two cases.…”

Section: Discussionmentioning

confidence: 94%

Gravitational Light Bending in Weyl Gravity and Schwarzschild–de Sitter Spacetime

Sultana

2024

Symmetry

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The topic of gravitational lensing in the Mannheim–Kazanas solution of Weyl conformal gravity and the Schwarzschild–de Sitter solution in general relativity has featured in numerous publications. These two solutions represent a spherical massive object (lens) embedded in a cosmological background. In both cases, the interest lies in the possible effect of the background non-asymptotically flat spacetime on the geometry of the local light curves, particularly the observed deflection angle of light near the massive object. The main discussion involves possible contributions to the bending angle formula from the cosmological constant Λ in the Schwarzschild–de Sitter solution and the linear term γr in the Mannheim–Kazanas metric. These effects from the background geometry, and whether they are significant enough to be important for gravitational lensing, seem to depend on the methodology used to calculate the bending angle. In this paper, we review these techniques and comment on some of the obtained results, particularly those cases that contain unphysical terms in the bending angle formula.

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Deflection of light and time delay in closed Einstein-Straus solution

Cited by 6 publications

References 41 publications

Bending of light in novel 4D Gauss-Bonnet-de Sitter black holes by the Rindler-Ishak method

Bending of light in novel 4D Gauss-Bonnet-de Sitter black holes by the Rindler-Ishak method

Light bending by the cosmological constant

Gravitational Light Bending in Weyl Gravity and Schwarzschild–de Sitter Spacetime

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