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Universe 2016, 2(1), 5; doi:10.3390/universe2010005

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

College of Engineering, Nihon University, Koriyama, Fukushima 963-8642, Japan
Academic Editor: Lorenzo Iorio
Received: 9 February 2016 / Revised: 8 March 2016 / Accepted: 8 March 2016 / Published: 14 March 2016
View Full-Text   |   Download PDF [285 KB, uploaded 14 March 2016]

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. View Full-Text
Keywords: light deflection; cosmological constant; time transfer function; relativity light deflection; cosmological constant; time transfer function; relativity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Arakida, H. Effect of the Cosmological Constant on Light Deflection: Time Transfer Function Approach. Universe 2016, 2, 5.

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