English

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

General Relativity and Quantum Cosmology 2017-01-06 v2

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\gamma characteristic to conformal gravity is shown to contribute enhanced deflection compared to the angle predicted by General Relativity for small γ\gamma.

Keywords

Cite

@article{arxiv.1609.07633,
  title  = {Exact gravitational lensing in conformal gravity and Schwarzschild-de Sitter spacetime},
  author = {Yen-Kheng Lim and Qing-hai Wang},
  journal= {arXiv preprint arXiv:1609.07633},
  year   = {2017}
}

Comments

22 pages, 8 figures