Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
By Asahi Ishihara, Yusuke Suzuki, T. Ono, Takao Kitamura, H. Asada. 2016
185 citations recorded by the source corpus.
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\char21{}de Sitter) solution to the Einstein equation and an exact solution in Weyl conformal gravity.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/b9df615643ea900d2d83e412ce21d80c2636cfc3
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Citations in the corpus
- Gravitational lensing by black holes in the 4D Einstein-Gauss-Bonnet gravity (2020, background): “[77, 78], which is further generalized by Ono et al.”
- Shadow cast and deflection angle of Kerr-Newman-Kasuya spacetime (2018, background): “have shown that for the spherical symmetric static objects, it is possible to find the deflection angle by considering the finite-distance corrections instead of using the asymptotic receiver and source [93, 94].”