ar X iv : a st ro - p h / 98 12 11 8 v 1 7 D ec 1 99 8 Two – component galaxy models : phase – space constraints By LUCA CIOTTI

نویسنده

  • LUCA CIOTTI
چکیده

The properties of the analitycal phase–space distribution function (DF) of two–component spherical self–consistent galaxy models, where one density distribution follows the Hernquist profile, and the other a γ = 0 model, with different total masses and core radii (H0 models), presented in Ciotti (1998, C98), are here summarized. A variable amount of radial Osipkov– Merritt (OM) orbital anisotropy is allowed in both components. The necessary and sufficient conditions that the model parameters must satisfy in order to correspond to a model where each one of the two distinct components has a positive DF (the so–called model consistency) are analytically derived, together with some results on the more general problem of the consistency of two–component γ1 + γ2 models. The possibility to add in a consistent way a black hole (BH) at the center of radially anisotropic γ models is also discussed. In the particular case of H0 models, it is proved that a globally isotropic Hernquist component is consistent for any mass and core radius of the superimposed γ = 0 halo; on the contrary, only a maximum value of the core radius is allowed to the γ = 0 component when a Hernquist halo is added. The combined effect of halo concentration and orbital anisotropy is successively investigated.

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تاریخ انتشار 1998