A spherical scalar-tensor galaxy model

Abstract

We build a spherical halo model for galaxies using a general scalar-tensor theory of gravity in its Newtonian limit. The scalar field is described by a time-independent Klein-Gordon equation with a source that is coupled to the standard Poisson equation of Newtonian gravity. Our model, by construction, fits both the observed rotation velocities of stars in spirals and a typical luminosity profile. As a result, the form of the new Newtonian potential, the scalar field, and dark matter distribution in a galaxy are determined. Taking into account the constraints for the fundamental parameters of the theory (lambda,alpha), we analyze the influence of the scalar field in the dark matter distribution, resulting in shallow density profiles in galactic centers.

14 pages, 16 plots set in 7 figures, typos and references added

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• Testing DM halos using rotation curves and lensing: A warning on the determination of the halo mass
• Scalar-field Pressure in Induced Gravity with Higgs Potential and Dark Matter
• Constraining the attractive fifth force in the general free scalar-tensor gravity with solar system experiments
• Summary of session A4 at the GRG18 conference: Alternative Theories of Gravity
• On galaxy rotation curves from a continuum mechanics approach to modified gravity
• Power spectrum of large-scale structure cosmological models in the framework of scalar-tensor theories