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arXiv 0811.0322astro-ph
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二分量星系模型:大半径密度分布对相空间一致性的影响

Two-component galaxy models: the effect of density profile at large radii on the phase-space consistency

Luca Ciotti, Lucia Morganti

摘要:

众所周知,具有正相空间分布函数的恒星系统内部区域的密度和各向异性分布并不是完全独立的。在这里,我们研究在物理上允许的(一致的)恒星系统的密度分布和轨道各向异性之间的相互作用在大半径。分析是用两分量(n-gamma,gamma_1)球形自洽星系模型进行的,其中一个密度分布服从外对数斜率为n的广义gamma分布,另一个服从标准gamma_1分布(外对数斜率为4)。在有质量中心黑洞存在的情况下,给出了相空间一致性的充分必要条件,并在γ = 0,1,2时,导出了(n-gamma,1)模型和有质量中心黑洞的n-gamma模型的解析相空间分布函数.据发现,在恒星系统的外部区域的密度斜率可以发挥重要的作用,在确定允许的各向异性的量:特别是,对于固定的密度斜率在中心区域,系统与陡峭的外部密度分布可以支持更多的径向各向异性比外部平坦的模型。这通过形式上与“尖点斜率-中心各向异性”定理(An & Evans 2006)相同的不等式来量化,在所有半径处(而不仅仅是在中心处),所有Osipkov-Merritt系统中的密度对数斜率和各向异性指标[摘要]。

英文摘要:

It is well known that the density and anisotropy profile in the inner regions of a stellar system with positive phase-space distribution function are not fully independent. Here we study the interplay between density profile and orbital anisotropy at large radii in physically admissible (consistent) stellar systems. The analysis is carried out by using two-component (n-gamma,gamma_1) spherical self-consistent galaxy models, in which one density distribution follows a generalized gamma profile with external logarithmic slope n, and the other a standard gamma_1 profile (with external slope 4). The necessary and sufficient conditions for phase-space consistency are determined analytically, also in presence of a dominant massive central black hole, and the analytical phase-space distribution function of (n-gamma,1) models, and of n-gamma models with a central black hole, is derived for gamma=0,1,2. It is found that the density slope in the external regions of a stellar system can play an important role in determining the amount of admissible anisotropy: in particular, for fixed density slopes in the central regions, systems with a steeper external density profile can support more radial anisotropy than externally flatter models. This is quantified by an inequality formally identical to the ``cusp slope-central anisotropy'' theorem (An & Evans 2006), relating at all radii (and not just at the center) the density logarithmic slope and the anisotropy indicator in all Osipkov-Merritt systems [Abridged].

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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