Effect of the Cosmological Constant on Light Deflection: Time Transfer Function Approach
Effect of the Cosmological Constant on Light Deflection: Time Transfer Function Approach
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DOI：
10.3390/universe2010005
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发表时间：
2016-03
期刊：
影响因子：
2.9
通讯作者：
H. Arakida
中科院分区：
文献类型：
--
作者：
H. Arakida
我们通过Schwarzschild-de Sitter/Kottler度规重新审视宇宙常数Λ在光偏转中的作用。为了得到总偏转角α，采用了时间传递函数法，代替了常用的求解光子测地线方程的方法。我们证明了宇宙学常数确实出现在偏转角的表达式中，并且它减少了由于中心物体m的质量而引起的光弯曲。Rev. D. 2007)，由于宇宙学常数引起的领先级效应与中心物体M的质量不耦合。
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.