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        Critical Configurations for a System of Semidegenerate Fermions

        Carlos R. Arg¨uelles,Remo Ruffini,Bernardo M. O. Fraga 한국물리학회 2014 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.65 No.6

        We study an isothermal system of semidegenerate self-gravitating fermions in general relativity. Such systems present mass density solutions with a central degenerate core, a plateau and a tail, thislast following a power law behavior r−2. The different solutions are governed by the free parametersof the model: the degeneracy and the temperature parameters at the center and the particle mass m. We then analyze in detail the free parameter space for a fixed m in the keV region, by studying theone-parameter sequences of equilibrium configurations up to the critical point, which is representedby the maximum in a central density (0) vs. core mass (Mc) diagram. We show that for fullydegenerate cores, the known expression for the critical core mass Mcrc / m3pl/m2 is obtained, whilefor low degenerate cores, the critical core mass increases, showing temperature effects in a nonlinearway. The main result of this work is that when applying this theory to model the distribution ofdark matter in galaxies from the very center to the outer halos, we do not find any critical corehaloconfiguration of self-gravitating fermions that would be able to explain the super-massive darkobject in their centers and the outer halo simultaneously.

      • KCI등재

        On the Distribution of Dark Matter in Galaxies: Quantum Treatments

        Carlos R. Arg¨uelles,Remo Ruffini,Ivan Siutsou,Bernardo Fraga 한국물리학회 2014 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.65 No.6

        The problem of modeling the distribution of dark matter in galaxies in terms of equilibriumconfigurations of collisionless self-gravitating quantum particles is considered. We first summarizethe pioneering model of a Newtonian self-gravitating Fermi gas in thermodynamic equilibriumdeveloped by Ruffini and Stella (1983), which is shown to be a generalization of the King modelfor fermions. We further review the extension of the former model developed by Gao, Merafinaand Ruffini (1990), done for any degree of fermion degeneracy at the center (0), within generalrelativity. Finally, we present here for the first time the solutions of the density profiles and rotationcurves corresponding to the model of Gao et al. Those solutions have a definite mass Mh and acircular velocity vh at the halo radius rh of the configurations, which are typical of spiral galaxies. This treatment allows us to determine a novel core-halo morphology for the dark-matter profiles,as well as a novel bound on the particle mass associated with those profiles.

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