标题： 粘性Rip宇宙湍流阶段中的黑洞 显示英文标题

标题： Black Holes in the Turbulent Phase of Viscous Rip Cosmology

摘要： 我们研究了晚期宇宙中的幻影流体，因此假设状态方程参数$w$小于$-1$。 假定该流体由两部分组成，一层状成分$\rho$和一个湍流成分$\rho_T$，后者被设定为与$\rho$以及哈勃参数$\rho_T =3\tau H\rho$成比例，其中$\tau$是与湍流相关的正常数。 有效能量密度取为 $\rho_e= \rho + \rho_T$，相应的有效压强为 $p_e=w \rho_e$，其中 $w$ 为常数。 基于这些基本假设，得到了大撕裂宇宙；有限撕裂时间 $t_s$ 内物理量发散。 然后我们考虑在这种宇宙中黑洞的质量吸积问题。 最自然的假设是将速率 $dM/dt$ 设置为与 $M^2$ 乘以 $\rho_e+p_e$ 的和成正比，这会导致负的质量吸积率，在奇点附近的 $M(t)$ 线性趋于零的 $(t_s-t)$ 中。 哈勃参数在$(t_s-t)^{-1}$时发散，而$\rho_e$和$p_e$在$(t_s-t)^{-2}$时发散。 我们还讨论了其他选项，并为了比较，包含了早期（暴胀）宇宙中质量吸积的一些基本性质。 显示英文摘要

摘要： We study the phantom fluid in the late universe, thus assuming the equation of state parameter $w$ to be less than $-1$. The fluid is assumed to consist of two components, one laminar component $\rho$ and one turbulent component $\rho_T$, the latter set proportional to $\rho$ as well as to the Hubble parameter, $\rho_T =3\tau H\rho$ with $\tau$ a positive constant associated with the turbulence. The effective energy density is taken to be $\rho_e= \rho + \rho_T$, and the corresponding effective pressure is $p_e=w \rho_e$, with $w$ constant. These basic assumptions lead to a Big Rip universe; the physical quantities diverging during a finite rip time $t_s$. We then consider the mass accretion of a black hole in such a universe. The most natural assumption of setting the rate $dM/dt$ proportional to $M^2$ times the sum $\rho_e+p_e$, leads to a negative mass accretion, where $M(t)$ goes to zero linearly in $(t_s-t)$ near the singularity. The Hubble parameter diverges as $(t_s-t)^{-1}$, whereas $\rho_e$ and $p_e$ diverge as $(t_s-t)^{-2}$. We also discuss other options and include, for the sake of comparison, some essential properties of mass accretion in the early (inflationary) universe.