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

Yen-Kheng Lim and Qing-hai Wang
Phys. Rev. D 95, 024004 – Published 4 January 2017

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 coaligned. This expansion improves previous calculations where we systematically avoid parameter ranges that correspond to nonexistent 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.

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  • Received 2 October 2016

DOI:https://doi.org/10.1103/PhysRevD.95.024004

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Yen-Kheng Lim* and Qing-hai Wang

  • Department of Physics, National University of Singapore, Singapore 117551, Singapore

  • *phylyk@nus.edu.sg
  • qhwang@nus.edu.sg

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Issue

Vol. 95, Iss. 2 — 15 January 2017

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