Galaxy Rotation Curves via Conformal Factors

Abstract

We propose a new formula to explain circular velocity profiles of spiral galaxies obtained from the Starobinsky model in Palatini formalism. It is based on the assumption that the gravity can be described by two conformally related metrics: one of them is responsible for the measurement of distances, while the other so-called dark metric, is responsible for a geodesic equation and therefore can be used for the description of the velocity profile. The formula is tested against a subset of galaxies taken from the HI Nearby Galaxy Survey (THINGS).

6 two-collumn pages, 2 figures, 1 table; Major changes in v2; version to match the published one in Eur. Phys. J. C

References in corpus (21)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• High-Resolution Rotation Curves and Galaxy Mass Models from THINGS
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Dark energy and dark matter as curvature effects
• Color--Mass-to-Light Ratio Relations for Disk Galaxies
• A Novel Test of the Modified Newtonian Dynamics with Gas Rich Galaxies
• The Tensor-Vector-Scalar theory and its cosmology
• Impact of a global quadratic potential on galactic rotation curves
• The modified Newtonian dynamics-MOND-and its implications for new physics
• Rotational Velocity Curves in the Milky Way as a Test of Modified Gravity
• From Dark Energy and Dark Matter to Dark Metric
• Starobinsky cosmological model in Palatini formalism
• Equilibrium and stability of relativistic stars in extended theories of gravity
• Modified gravity models and the central cusp of dark matter halos in galaxies
• On the (non-)uniqueness of the Levi-Civita solution in the Einstein-Hilbert-Palatini formalism
• Inflationary cosmology with Chaplygin gas in Palatini formalism
• Do sewn singularities falsify the Palatini cosmology?
• Solar System tests of some models of modified gravity proposed to explain galactic rotation curves without dark matter
• A relativistic description of MOND using the Palatini formalism in an extended metric theory of gravity
• Solar System constraints on Renormalization Group extended General Relativity: The PPN and Laplace-Runge-Lenz analyses with the external potential effect

Cited by in corpus (10)

• Teleparallel Gravity: From Theory to Cosmology
• Palatini frames in scalar-tensor theories of gravity
• Fitting rotation curve of galaxies by de Rham-Gabadadze-Tolley massive gravity
• Polytropic stars in Palatini gravity
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• White dwarf stars in modified gravity
• Galactic rotation dynamics in a new $f(\mathcal{R})$ gravity model
• The Palatini star: exact solutions of the modified Lane-Emden equation
• A simple model for explaining Galaxy Rotation Curves
• Galactic dynamics in the presence of scalaron: A perspective from $\mathbf{f}(\mathbf{R})$ gravity