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We study fundamental properties of steady, spherically symmetric, isothermalgalactic outflow in appropriate gravitational potential models. We aim atconstructing a universal scale free theory not only for galactic winds, butalso for winds from clusters/groups of galaxies. In particular, we considereffects of mass-density distribution on the formation of transonic galacticoutflows under several models of the density distribution profile predicted bycosmological simulations of structure formation based on the cold dark matter(CDM) scenario. In this study, we have clarified that there exists two types oftransonic solutions: outflows from the central region and from distant regionwith a finite radius, depending upon the density distribution of the system.The system with sufficiently steep density gradient at the center is allowed tohave the transonic outflows from the center. The resultant criterionintriguingly indicates that the density gradient at the center must be steeperthan that of the prediction of conventional CDM model including Navarro, Frenk& White (1997) and Moore et al. (1999). This result suggests that an additionalsteeper density distribution originated by baryonic systems such as the stellarcomponent and/or the central massive black hole is required to realizetransonic outflow from the central region. On the other hand, we predict theoutflow, which is started at the outskirts of the galactic center and isslowly-accelerated without any drastic energy injection like starburst events.These transonic outflows may contribute secularly to the metal enrichment ofthe intergalactic medium.

Transonic solutions of isothermal galactic winds in a cold dark matter halo