GALAXY ROTATION CURVES IN THE μ-DEFORMATION-BASED APPROACH TO DARK MATTER

We elaborate further the ii-deformation-based approach to the modeling of dark matter, in addition to the earlier proposed use of mu-deformed thermodynamics. Herein, we construct mu-deformed analogs of the Lane-Emden equation (for density profiles) and find their solutions. Using these, we plot the rotation curves for a number of galaxies. Different curves describing the chosen galaxies are labeled by respective (different) values of the deformation parameter mu. As a result, the use of ,u-deformation leads to the improved agreement with observational data. For all the considered galaxies, the obtained rotation curves (labeled by mu) agree better with data, as compared to the well-known Bose-Einstein condensate model results of T. Harko. Besides, for five of the eight cases of galaxies, we find a better picture for rotation curves, than the corresponding Navarro-Freak-White (NFW) curves. The possible physical meaning of the parameter mu basic for this version of mu-deformation is briefly discussed.