Globular clusters as a probe for Weyl conformal gravity

Eventual flattening of velocity dispersion profiles of some galactic globular clusters (GCs) in the Milky Way cannot be explained in the framework of Newtonian gravity and hence in general theory of relativity in the weak field limit, without resorting to the occurrence of tidal effects. We explore the possibility of explaining such deviation from expected Keplerian fall-off in dispersion profiles within the context of Weyl conformal gravity. We choose a set of 20 GCs for which recent kinematic measurements are available. We model the GCs with approximate Hernquist mass profiles and choose a constant mass-to-light ratio throughout the cluster as the only free parameter in the model. Our analysis finds reasonable Weyl gravity fits to the observed dispersion profiles, exhibiting both Keplerian decline and eventual flattening, with acceptable mass-to-light ratios. We further recover a Tully-Fisher-like scaling relation in GCs through Weyl gravity.