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arxiv: 1609.07633 · v2 · pith:RRCG3IW4new · submitted 2016-09-24 · 🌀 gr-qc

Exact gravitational lensing in conformal gravity and Schwarzschild-de Sitter spacetime

classification 🌀 gr-qc
keywords conformalexactgravitygammagravitationallensschwarzschild-desitter
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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 $\gamma$ characteristic to conformal gravity is shown to contribute enhanced deflection compared to the angle predicted by General Relativity for small $\gamma$.

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