Strong lensing as a test for Conformal Weyl Gravity

Abstract

Conformal Weyl Gravity (CWG) predicts galactic rotation curves without invoking dark matter. This makes CWG an interesting candidate theory as an alternative to GR. This removal of the necessity of dark matter arises because the exact exterior solution in CWG for a static, spherically symmetric source provides a linear potential $\gamma r$, which can explain the observed galactic rotation curves with a value for $\gamma$ given by $\sim +10^{-26}{\mathrm{m}}^{-1}$. Previous work has also shown that CWG can explain lensing observations, but with $\gamma \sim -10^{-26}{\mathrm{m}}^{-1}$ in order to ensure converging rays of light rather than diverging ones. Even though different expressions for the angle of deflection have been derived in CWG in order to remove this inconsistency, this paper shows that the $\gamma$ required to fit the lensing data is several orders of magnitude higher than that required to fit the galactic rotation curves.

6 pages, 2 tables, 2 figures

References in corpus (11)

• Gravitational Lensing in Astronomy
• Are galactic rotation curves really flat?
• Classical tests for Weyl gravity: deflection of light and time delay
• Abell 370 revisited: refurbished Hubble imaging of the first strong lensing cluster
• Linear Potentials and Galactic Rotation Curves
• Correct light deflection in Weyl conformal gravity
• Reconstructing the triaxiality of the galaxy cluster Abell 1689: solving the X-ray and strong lensing mass discrepancy
• How Recent is Cosmic Acceleration?
• Constraints on the Asymptotic Baryon Fractions of Galaxy Clusters at Large Radii
• Cluster Mass Estimate and a Cusp of the Mass Density Distribution in Clusters of Galaxies
• Options for cosmology at redshifts above one

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