期刊
PHYSICAL REVIEW D
卷 94, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.94.084015
关键词
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资金
- Japan Society for the Promotion of Science [26400262]
- Ministry of Education, Culture, Sports, Science, and Technology (Shingakujutsu) [15H00772]
- Grants-in-Aid for Scientific Research [26400262, 15H00772] Funding Source: KAKEN
We discuss a possible extension of calculations of the bending angle of light in a static, spherically symmetric and asymptotically flat spacetime to a nonasymptotically flat case. We examine a relation between the bending angle of light and the Gauss-Bonnet theorem by using the optical metric. A correspondence between the deflection angle of light and the surface integral of the Gaussian curvature may allow us to take account of the finite distance from a lens object to a light source and a receiver. Using this relation, we propose a method for calculating the bending angle of light for such cases. Finally, this method is applied to two examples of the nonasymptotically flat spacetimes to suggest finite-distance corrections: the Kottler (Schwarzschild-de Sitter) solution to the Einstein equation and an exact solution in Weyl conformal gravity.
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