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Motivated by the possible conflict between the Navarro-Frenk-White(NFW) modelpredictions for the dark matter contents of galactic systems and itscorrelation with baryonic surface density, we will explore an alternativeparadigm for the description of dark matter halos. Such an alternative emergesfrom Tsallis' non-extensive thermodynamics applied to self-gravitating systemsand leads to the so-called ``stellar polytrope'' (SP) model. We consider thatthis could be a better approach to real structures rather than the isothermalmodel, given the fact that the first one takes into account the non-extensivityof energy and entropy present in these type of systems characterized bylong-range interactions. We compare a halo based on the Navarro-Frenk-White(NFW) and one which follows the SP description. Analyzing the dark mattercontents estimated by means of global physical parameters of galactic disks,obtained from a sample of actual galaxies, with the ones of the unobserved darkmatter halos, we conclude that the SP model is favored over the NFW model insuch a comparison.Comment: 21 pages, 4 figures. Accepted for publication in the Journal of  Cosmology and Astroparticle Physic

Stellar polytropes and Navarro–Frenk–White halo models: comparison with observations