Abstract
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 investigations. The present study confirms that the leading correction term depends directly not only on Λ but also on the impact parameter and on the angular distance to the source. Using the resulting lens equation, the projected mass of the lens was estimated for several systems displaying Einstein rings. Corrections on the masses due to Λ are, on the average, of the order of 2%, indicating that they are not completly negligible for lens systems at cosmological distances.
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Islam J.N.: The cosmological constant and the classical tests of general relativity. Phys. Lett. A 97, 239 (1983)
Kagramanova V., Kunz J., Lammerzahl C.: Solar system effects in Schwarzschild de Sitter space time. Phys. Lett. B 634, 465 (2006)
Finelli F., Galaverni M., Gruppuso A.: Light bending as a probe of the nature of the dark energy. Phys. Rev. D 75, 043003 (2007)
Rindler W., Ishak M.: The contribution of the cosmological constant to the relativistic bending of light revisited. Phys. Rev. D 76, 043006 (2007)
Khriplovich I.B., Pomeransky A.A.: Does cosmological term influence gravitational lensing?. Int. J. Mod. Phys. D 17, 2255 (2008)
Park M.: Rigorous approach to gravitational lensing. Phys. Rev. D 78, 023014 (2008)
Simpson F., Peacock J.A., Heavens A.F.: On lensing by a cosmological constant. MNRAS 402, 2009 (2010)
Ishak M., Rindler W., Dosset J.: More on lensing by a cosmological constant. MNRAS 403, 2152 (2010)
Lake, K.: More on the benging of light!, arXiv: 0711.0673
Sereno M.: On the influence of the cosmological constant on gravitational lensing in small systems. Phys. Rev. D 77, 043004 (2008)
Sereno M.: Role of Λ in the cosmological lens equation. Phys. Rev. Lett. 102, 021301 (2009)
Bhadra A., Biswas S., Sarkar K.: Gravitational deflection of light in the Schwarzschild-de Sitter space-time. Phys. Rev. D 82, 063003 (2010)
Schucker T.: Cosmological constant and lensing. Gen. Relativ. Gravit. 41, 67 (2009)
CASTLES survey, http://www.cfa.harvard.edu/castles/
Faure, C., Kneib, J.-P., Covone, G., et al.: Firts catalog of strong lens candidates in the COSMOS field, ApJS 176, 19 (2008) and erratum ApJS 178, 382 (2008)
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Biressa, T., de Freitas Pacheco, J.A. The cosmological constant and the gravitational light bending. Gen Relativ Gravit 43, 2649–2659 (2011). https://doi.org/10.1007/s10714-011-1186-6
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DOI: https://doi.org/10.1007/s10714-011-1186-6