The cosmological constant and the gravitational light bending

Biressa, Tolu; Pacheco, J. A. de Freitas

doi:10.1007/s10714-011-1186-6

Cited by 35 publications

(46 citation statements)

References 14 publications

(29 reference statements)

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“…The Equation (25) is similar and comparable with previous results, that is, the third term of Equation (13) in [20], and the fourth term of Equation (25) in [22].…”

Section: Effect Of the Cosmological Constant On Light Deflectionsupporting

confidence: 89%

“…Our result seems to be similar and comparable with the third term of Equation (13) in [20], and the fourth term of Equation (25) in [22]. Also, as [13,14,[20][21][22]24,25], the cosmological constant leads to diminishing the bending angle due to the mass of the central body M.…”

supporting

confidence: 84%

“…We list in Table 1 the expressions of bending angle due to the cosmological constant previously obtained [14][15][16][17][18][19][20][21][22][23][24][25], and estimate the numerical value using c = 3.0 × 10 8 …”

Section: Discussionmentioning

confidence: 99%

“…Nevertheless, presently, it seems that a conclusion has not yet been reached, for instance, on whether the leading order effect due to Λ is coupled with the mass of the central body M or not. See [14] for a review and also [15][16][17][18][19][20][21][22][23][24][25]. In addition, for the cosmological constant and cosmological lensing equation, see, e.g., [17,18,26,27].…”

Section: Introductionmentioning

confidence: 99%

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Effect of the Cosmological Constant on Light Deflection: Time Transfer Function Approach

Arakida

2016

Universe

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Abstract:We revisit the role of the cosmological constant Λ in the deflection of light by means of the Schwarzschild-de Sitter/Kottler metric. In order to obtain the total deflection angle α, the time transfer function approach is adopted, instead of the commonly used approach of solving the geodesic equation of photon. We show that the cosmological constant does appear in expression of the deflection angle, and it diminishes light bending due to the mass of the central body M. However, in contrast to previous results, for instance, that by Rindler and Ishak (Phys. Rev. D. 2007), the leading order effect due to the cosmological constant does not couple with the mass of the central body M.

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“…The Equation (25) is similar and comparable with previous results, that is, the third term of Equation (13) in [20], and the fourth term of Equation (25) in [22].…”

Section: Effect Of the Cosmological Constant On Light Deflectionsupporting

confidence: 89%

supporting

confidence: 84%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of the Cosmological Constant on Light Deflection: Time Transfer Function Approach

Arakida

2016

Universe

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“…We expect that different lens density profiles would lead to different results in the mass estimates also from the point of view of the cosmological corrections, as shown in Ref. [10] for the case of the Kottler metric. Figure A1.…”

Section: Discussionmentioning

confidence: 80%

On the Effect of the Cosmological Expansion on the Gravitational Lensing by a Point Mass

Piattella

2016

Universe

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Abstract:We analyse the effect of the cosmological expansion on the deflection of light caused by a point mass, adopting the McVittie metric as the geometrical description of a point-like lens embedded in an expanding universe. In the case of a generic, non-constant Hubble parameter, H, we derive and approximately solve the null geodesic equations, finding an expression for the bending angle δ, which we expand in powers of the mass-to-closest approach distance ratio and of the impact parameter-to-lens distance ratio. It turns out that the leading order of the aforementioned expansion is the same as the one calculated for the Schwarzschild metric and that cosmological corrections contribute to δ only at sub-dominant orders. We explicitly calculate these cosmological corrections for the case of the H constant and find that they provide a correction of order 10 −11 on the lens mass estimate.

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Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory

Kalinowski

2015

Fortschritte der Physik

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The Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory leads to a model of a modified acceleration that can fit an anomalous acceleration experienced by the Pioneer 10 and 11 spacecraft. The future positions of those spacecrafts are predicted using distorted hyperbolic orbit. A connection between an anomalous acceleration and a Hubble constant is solved in the theory together with a relation to a cosmological constant in CDMΛ model. In the paper we consider an exact solution of a point mass motion in the Solar System under an influence of an anomalous acceleration. We find two types of orbits: periodic and chaotic. Both orbits are bounded. This means there is no possibility to escape from the Solar System. Some possibilities to avoid this conclusion are considered. We resolve also a coincidence between an anomalous acceleration and the cosmological constant using a paradigm of modern cosmology. Relativistic effects and a cosmological drifting of a gravitational constant are considered. The model of an anomalous acceleration does not cause any contradiction with Solar System observations. We give a full statistical analysis of the model. We consider also a full formalism of the Nonsymmetric Jordan–Thiry Theory for the problem and present a relativistic model of an anomalous acceleration. We consider the model for General Relativity approximation, i.e. gμν≠ημν (gμν=gνμ). In this model there are no contradictions with General Relativity tests in the Solar System. Pioneer 10/11 spacecrafts will come back in 106 years (a time scale of our periodic solutions is 106 years). Moreover, almost relativistic or relativistic spacecrafts can escape from the Solar System. We consider also a model of a relativistic acceleration which is more complicated, with gμν≠gνμ taken into account.

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The cosmological constant and the gravitational light bending

Cited by 35 publications

References 14 publications

Effect of the Cosmological Constant on Light Deflection: Time Transfer Function Approach

Effect of the Cosmological Constant on Light Deflection: Time Transfer Function Approach

On the Effect of the Cosmological Expansion on the Gravitational Lensing by a Point Mass

Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory

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