椭圆星系Sérsic模型中的绝热黑洞增长
Adiabatic black hole growth in Sérsic models of elliptical galaxies
摘要：
我们研究了中心黑洞缓慢增长对服从Sérsic或$R^{1/m}$表面亮度分布的球形星系的影响。在这样的增长过程中，每个恒星轨道的作用都是守恒的，如果我们假设初始分布函数是各向同性的，这就允许我们计算最终的分布函数。我们发现，黑洞生长导致一个中心尖点或"过剩光“，其中表面亮度随半径变化为$R^{-1.3}$（与Sérsic指数$m$的依赖性较弱），视线速度色散随$R^{-1/2}$变化，速度各向异性为$β\simeq -0.24$到$-0.28$，取决于$m$。尖点中的多余恒星质量与黑洞质量近似成线性比例，通常是黑洞质量的0.5- 0.85倍。这个过程可能会强烈影响核星团的结构，如果它们包含黑洞。
英文摘要：
We have examined the effect of slow growth of a central black hole on spherical galaxies that obey Sérsic or $R^{1/m}$ surface-brightness profiles. During such growth the actions of each stellar orbit are conserved, which allows us to compute the final distribution function if we assume that the initial distribution function is isotropic. We find that black-hole growth leads to a central cusp or ``excess light', in which the surface brightness varies with radius as $R^{-1.3}$ (with a weak dependence on Sérsic index $m$), the line-of-sight velocity dispersion varies as $R^{-1/2}$, and the velocity anisotropy is $β\simeq -0.24$ to $-0.28$ depending on $m$. The excess stellar mass in the cusp scales approximately linearly with the black-hole mass, and is typically 0.5--0.85 times the black-hole mass. This process may strongly influence the structure of nuclear star clusters if they contain black holes.
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