论文标题

黑洞通过自我交互的标量暗物质云而进行的黑洞的亚音音积聚和动力摩擦

Subsonic accretion and dynamical friction for a black hole moving through a self-interacting scalar dark matter cloud

论文作者

Boudon, Alexis, Brax, Philippe, Valageas, Patrick

论文摘要

我们研究了一个黑洞围绕的流动,穿过一群自我互动标量暗物质。我们专注于具有四分之一的自相互作用和亚音速制度的较大标量质量限制。我们展示了标量场的表现如何作为绝热指数的完美气体$γ_ {\ rm ad} = 2 $在大半径上,同时积聚率受靠近Schwarzschild radius的相对论方案的控制。我们获得了分析结果,这要归功于大拉迪乌斯的扩展,这也与小规模的相对论增生率有关。我们发现,增生率大于无碰撞颗粒,$ c/c_s \ gg 1 $,但比对于完美气体的较小,由因子$ c_s/c \ ll 1 $,其中$ c_s $是声音的速度。动态摩擦比完美的气体要小,相同的因子$ c_s/c \ ll 1 $,也小于Chandrasekhar对无碰撞颗粒的结果,其因子$ C_S/(CC)$,其中$ c $是$ c $。它也比模糊的暗物质要小,$ v_0/c \ ll 1 $。

We investigate the flow around a black hole moving through a cloud of self-interacting scalar dark matter. We focus on the large scalar mass limit, with quartic self-interactions, and on the subsonic regime. We show how the scalar field behaves as a perfect gas of adiabatic index $γ_{\rm ad}=2$ at large radii while the accretion rate is governed by the relativistic regime close to the Schwarzschild radius. We obtain analytical results thanks to large-radius expansions, which are also related to the small-scale relativistic accretion rate. We find that the accretion rate is greater than for collisionless particles, by a factor $c/c_s \gg 1$, but smaller than for a perfect gas, by a factor $c_s/c \ll 1$, where $c_s$ is the speed of sound. The dynamical friction is smaller than for a perfect gas, by the same factor $c_s/c \ll 1$, and also smaller than Chandrasekhar's result for collisionless particles, by a factor $c_s/(cC)$, where $C$ is the Coulomb logarithm. It is also smaller than for fuzzy dark matter, by a factor $v_0/c \ll 1$.

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