| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
We discussed the contribution of the cosmological constant on the bending of light ray and showed that (1) we found the cosmological constant affects the light deflection on the basis of the time transfer function which is originally from Synge's world function, (2) we prepared the quadrilateral bounded by the null geodesic, 2 radial null geodesic and curve that is vertical projection of null geodesic in the background spacetime on the optical metric which is the Riemannian geometry experienced by the light ray, and proposed the definition of total deflection angle of light ray by using that quadrilateral. And in accordance with the Gauss-Bonnet theorem, we derived two formulas to calculate the total deflection angle and we pointed out that the cosmological constant contributes to the bending of light ray.
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