分形介质在旋转黑洞上的轴对称吸积和声学流形的出现
Axially Symmetric Accretion of Fractal Medium onto Rotating Black Holes and the emergence of the Acoustic Manifold
摘要：
对于三种不同的物质几何构型和两种不同的热力学状态方程，采用后牛顿赝Kerr黑洞势，研究了具有分数维质量分布的物质在旋转黑洞上的低角动量、多跨音速、轴对称吸积流.这样的任务已经通过将吸积介质的分形性质映射到其连续介质上而在数学上完成。强调了分形介质吸积动力学与连续介质吸积动力学自旋依赖性的区别。利用含时线性微扰方法，证明了具有分数维密度分布的物质吸积可以看作是经典类比模型的一个自然例子。相应的声表面重力已估计的吸积变量。表面重力的值随着吸积物质从其分形性质向相应的连续分布过渡而变化。
英文摘要：
For three different geometric configurations of matter and two different thermodynamic equations of state, low angular momentum, multi-transonic, axially symmetric accretion flow of matter having fractional dimension of mass distribution onto a rotating black hole has been studied by employing certain post-Newtonian pseudo-Kerr black hole potential. Such task has been accomplished mathematically by mapping the fractal nature of accreted medium onto its continuum counterpart. The difference between spin dependence of accretion dynamics of the fractal medium and the continuous medium has been highlighted. By employing a time dependent linear perturbation scheme, it has been demonstrated that accretion of matter with fractional dimension of density distribution can be considered as a natural example of classical analogue model. The corresponding acoustic surface gravity has been estimated in terms of accretion variables. The value of the surface gravity changes as the accreted matter makes a transition from its fractal nature to the corresponding continuum distribution.
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