Testing Weyl Gravity at Galactic and Extra-galactic Scales

Abstract

We examine the viability of Weyl conformal gravity as an alternative to the general theory of relativity. By using the extended rotation curve of the Milky Way and velocity dispersions of four globular clusters, we show that Weyl gravity predictions without resorting to dark matter comply with observations at the galactic scale. For the Milky Way, we demonstrate that the uncertainty in baryonic modelling results a bracket of possible rotational velocities which well encompasses the diversity in rotation curve construction. Such diversity generally arises from differences in measurements of velocity anisotropy parameter, and the circular speed and Galactocentric distance of the Sun. Furthermore, we explore the ability of Weyl gravity to account for the inferred acceleration of Abell cluster 1689.

A few clarifications added, references added, accepted journal versions, 8 figures, 15 pages

References in corpus (15)

• The Confrontation between General Relativity and Experiment
• The mass distribution and gravitational potential of the Milky Way
• Trigonometric Parallaxes of Massive Star Forming Regions: VI. Galactic Structure, Fundamental Parameters and Non-Circular Motions
• The Milky Way's Circular Velocity Curve to 60 kpc and an Estimate of the Dark Matter Halo Mass from Kinematics of ~2400 SDSS Blue Horizontal Branch Stars
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• The Milky Way's rotation curve out to 100 kpc and its constraint on the Galactic mass distribution
• Impact of a global quadratic potential on galactic rotation curves
• Testing modified gravity with globular cluster velocity dispersions
• Three-dimensional Multi-probe Analysis of the Galaxy Cluster A1689
• Conformal Weyl gravity and perihelion precession
• Using globular clusters to test gravity in the weak acceleration regime: NGC 7099
• X-ray clusters of galaxies in conformal gravity
• How Zwicky already ruled out modified gravity theories without dark matter
• Using globular clusters to test gravity in the weak acceleration regime

Cited by in corpus (10)

• Quasinormal Ringing and Shadows of Black Holes and Wormholes in Dark Matter-Inspired Weyl Gravity
• Conformal Weyl gravity via two stages of quasinormal ringing and late-time behavior
• Testing MOdified Gravity (MOG) theory and dark matter model in Milky Way using the local observables
• Modified Gravity Theories in Light of the Anomalous Velocity Dispersion of NGC1052-DF2
• Testing gravity with the Milky Way: Yukawa potential
• Acceleration Relations in the Milky Way as Differentiators of Modified Gravity Theories
• Enigmatic Velocity Dispersions of Ultra-Diffuse Galaxies in Light of Modified Gravity Theories and Radial Acceleration Relation
• Globular clusters as a probe for Weyl Conformal Gravity
• Velocity dispersion of dark matter deficient ultra-diffuse galaxies: A case for modified gravity
• A `Third' Quantization Constructed for Gauge Theory of Gravity