Fitting galactic rotation curves with conformal gravity and a global quadratic potential

Abstract

We apply the conformal gravity theory to a sample of 111 spiral galaxies whose rotation curve data points extend well beyond the optical disk. With no free parameters other than galactic mass to light ratios, the theory is able to account for the systematics that is observed in this entire set of rotation curves without the need for any dark matter at all. In previous applications of the theory a central role was played by a universal linear potential term $V(r)={\gamma }_0{c}^{2}r/2$ that is generated through the effect of cosmology on individual galaxies, with the coefficient ${\gamma }_0=3.06\times 10^{-30}{\mathrm{cm}}^{-1}$ being of cosmological magnitude. Because the current sample is so big and encompasses some specific galaxies whose data points go out to quite substantial distances from galactic centers, we are able to identify an additional globally induced universal term in the data, a quadratic $V(r)=-\kappa c^2{r}^2/2$ term that is induced by inhomogeneities in the cosmic background. With $\kappa$ being found to be of magnitude $\kappa =9.54\times 10^{-54}{\mathrm{cm}}^{-2}$, through study of the motions of particles contained within galaxies we are thus able to both detect the presence of a global de Sitter-like component and provide a specific value for its strength. Our study suggests that invoking dark matter may be nothing more than an attempt to describe global physics effects such as these in purely local galactic terms.

revtex4, 50 pages, 114 figures. Text expanded

References in corpus (17)

• High-Resolution Rotation Curves and Galaxy Mass Models from THINGS
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• Making the Case for Conformal Gravity
• Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
• Impact of a global quadratic potential on galactic rotation curves
• High Resolution Optical Velocity Fields of 11 Low Surface Brightness Galaxies
• Connecting Far-Infrared and Radio Morphologies of Disk Galaxies: Cosmic-Ray Electron Diffusion After Star Formation Episodes
• Fitting dwarf galaxy rotation curves with conformal gravity
• Cosmological Perturbations in Conformal Gravity
• Schwarzschild limit of conformal gravity in the presence of macroscopic scalar fields
• Light deflection in Weyl gravity: critical distances for photon paths
• Gamma-ray bursts as cosmological probes: LambdaCDM vs. conformal gravity
• The LBT Panoramic View on the Recent Star-Formation Activity in IC2574
• X-ray clusters of galaxies in conformal gravity
• Probing dark matter haloes of spiral galaxies at poorly explored distances using satellite kinematics
• Gamma Ray Bursts: Cosmic Rulers for the High-Redshift Universe?

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