AI 中文总结
该研究分析了KZ黑洞时空形变对球形吸积流体动力学的影响，推导了流体运动哈密顿量，对比了不同流体模型及其他类型黑洞的临界点特性，明确了背景几何对强场物质动力学的作用。
AI 中文摘要
我们研究了静态Konoplya Zhidenko（KZ）黑洞上的球形吸积，并考察时空的形变如何影响吸积物质的动力学。通过应用粒子数和能量-动量守恒定律，我们构建了吸积问题并推导了描述流体运动的相应哈密顿量。随后针对超刚性、超相对论、辐射及亚相对论流体分析了临界点与声跃迁。我们研究了临界点结构和流动轨迹对KZ形变的依赖关系，并将结果与渐近安全黑洞、Schwarzschild MOG黑洞以及Reissner Nordström黑洞的结果进行比较。比较显示，临界点的位置和行为会随基础黑洞几何及流体的物态方程发生显著变化；特别地，KZ形变会使吸积流的径向结构产生显著改变，且对所考虑的不同流体模型呈现出不同效应。这些结果提供了不同黑洞时空中球形吸积的对比图景，有助于阐明背景几何的修改如何影响强场区域的物质动力学。
英文摘要
We investigate the spherical accretion onto a static Konoplya Zhidenko black hole and examine how the deformation of the spacetime affects the dynamics of the accreting matter. By applying the conservation laws of particle number and energy-momentum, we formulate the accretion problem and derive the corresponding Hamiltonian describing the fluid motion. The critical points and sonic transitions are then analyzed for ultra stiff, ultra relativistic, radiation, and sub relativistic fluids. We study the dependence of the critical point structure and flow trajectories on the KZ deformation and compare the results with those obtained for asymptotically safe, Schwarzschild MOG, and Reissner Nordström black holes. The comparison shows that the location and behavior of the critical points vary significantly with the underlying BH geometry and the equation of state of the fluid. In particular, the KZ deformation produces noticeable changes in the radial structure of the accretion flow, with different effects observed for the considered fluid models. These results provide a comparative picture of spherical accretion in different black hole spacetimes and help clarify how modifications of the background geometry influence matter dynamics in the strong field region.
