Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit

Abstract

Continuing work initiated in an earlier publication [Ishihara, Suzuki, Ono, Kitamura, Asada, Phys. Rev. D {\bf 94}, 084015 (2016) ], we discuss a method of calculating the bending angle of light in a static, spherically symmetric and asymptotically flat spacetime, especially by taking account of the finite distance from a lens object to a light source and a receiver. For this purpose, we use the Gauss-Bonnet theorem to define the bending angle of light, such that the definition can be valid also in the strong deflection limit. Finally, this method is applied to Schwarzschild spacetime in order to discuss also possible observational implications. The proposed corrections for Sgr A${}^{\ast }$ for instance are able to amount to $\sim 10^{-5}$ arcseconds for some parameter range, which may be within the capability of near-future astronomy, while also the correction for the Sun in the weak field limit is $\sim 10^{-5}$ arcseconds.

20 pages, 9 figures, Appendix added, accepted by PRD

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Cited by in corpus (13)

• Gravitational Lensing by Rotating Wormholes
• Shadow cast and deflection of light by charged rotating regular black holes
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Circular orbit of a particle and weak gravitational lensing
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• Shadow cast by a rotating charged black hole in quintessential dark energy
• Retrolensing by a charged black hole
• Deflection Angle of Light by Wormholes using the Gauss-Bonnet Theorem
• Gravitational lensing by exotic objects
• Light bending by a slowly rotating source in quadratic theories of gravity