arXiv:1609.07633gr-qc
Exact gravitational lensing in conformal gravity and Schwarzschild-de Sitter spacetime
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Abstract
An exact solution is obtained for the gravitational bending of light in static, spherically symmetric metrics which includes the Schwarzschild-de Sitter spacetime and also the Mannheim-Kazanas metric of conformal Weyl gravity. From the exact solution, we obtain a small bending-angle-approximation for a lens system where the source, lens and observer are co-aligned. This expansion improves previous calculations where we systematically avoid parameter ranges that correspond to non-existent null trajectories. The linear coefficient $γ$ characteristic to conformal gravity is shown to contribute enhanced deflection compared to the angle predicted by General Relativity for small $γ$.
Personally, I'm interested to see what happens to conformal gravity. The theory is able to fit galactic rotation curves without a need for dark matter[1], but supposedly leads to inconsistent results when trying to do the same for gravitational lensing[2]. However, that might…
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