Chinese Physics C ( IF 3.6 ) Pub Date : 2021-07-05 , DOI: 10.1088/1674-1137/abf72d Fabin H. Zuluaga 1 , Luis A. Snchez 1
We review steady spherically symmetric accretion onto a renormalization group improved Schwarzschild space-time, which is a solution to an asymptotically safe theory (AS) containing high-derivative terms. We use a Hamiltonian dynamical system approach for the analysis of the accretion of four types of isothermal test fluids: ultra-stiff fluid, ultra-relativistic fluid, radiation fluid, and sub-relativistic fluid. An important outcome of our study is that, contrary to the claim in a recent work, there are physical solutions for the accretion of an ultra-relativistic fluid in AS, which include subsonic, supersonic, and transonic regimes. Furthermore, we study quantum corrections to the known stability of the accretion in general relativity (GR). To this end, we use a perturbative procedure based on the continuity equation with the mass accretion rate being the perturbed quantity. Two classes of perturbations are studied: standing and traveling waves. We find that quantum gravity effects either enhance or diminish the stability of the accretion depending on the type of test fluid and the radial distance to the central object.
中文翻译:
具有更高导数的渐近安全性黑洞:吸积和稳定性分析
我们回顾了稳定的球对称吸积到重整化群改进的 Schwarzschild 时空,这是对包含高导数项的渐近安全理论 (AS) 的解决方案。我们使用哈密顿动力学系统方法来分析四种等温测试流体的吸积:超硬流体、超相对论流体、辐射流体和亚相对论流体。我们研究的一个重要结果是,与最近工作中的主张相反,AS 中超相对论流体的吸积存在物理解决方案,包括亚音速、超音速和跨音速机制。此外,我们研究了广义相对论 (GR) 中已知吸积稳定性的量子校正。为此,我们使用基于连续性方程的微扰程序,质量吸积率是扰动量。研究了两类扰动:驻波和行波。我们发现,根据测试流体的类型和到中心物体的径向距离,量子引力效应会增强或减弱吸积的稳定性。