On the Null Trajectories in Conformal Weyl Gravity

Abstract

In this work we find analytical solutions to the null geodesics around a black hole in the conformal Weyl gravity. Exact expressions for the horizons are found, and they depend on the cosmological constant and the coupling constants of the conformal Weyl gravity. Then, we study the radial motion from the point of view of the proper and coordinate frames, and compare it with that found in spacetimes of general relativity. The angular motion is also examined qualitatively by means of an effective potential; quantitatively, the equation of motion is solved in terms of $\wp$-Weierstrass elliptic function. Thus, we find the deflection angle for photons without using any approximation, which is a novel result for this kind of gravity.

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References in corpus (5)

• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• The Relevance of the Cosmological Constant for Lensing
• Light deflection in Weyl gravity: critical distances for photon paths
• X-ray clusters of galaxies in conformal gravity

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