在自相互作用标量暗物质云中运动的黑洞的亚声速吸积与动力学摩擦
Subsonic accretion and dynamical friction for a black hole moving through a self-interacting scalar dark matter cloud
AI总结：
本研究针对在自相互作用标量暗物质云中运动的黑洞，分析其亚声速区域的吸积与动力学摩擦特性，通过大半径展开得到解析结果，明确了吸积率和动力学摩擦与无碰撞粒子、理想气体、模糊暗物质情形的定量差异。
摘要：
我们研究了在自相互作用标量暗物质云中运动的黑洞周围的流场。我们聚焦于大标量质量极限（具有四次自相互作用）以及亚声速区域。我们展示了标量场在大半径处如何表现为绝热指数$\gamma_{\rm ad}=2$的理想气体，而吸积率则由靠近史瓦西半径的相对论区域主导。我们通过大半径展开得到了解析结果，这些结果也与小尺度相对论吸积率相关。我们发现，吸积率比无碰撞粒子的吸积率大$c/c_s \gg 1$倍，但比理想气体的吸积率小$c_s/c \ll 1$倍，其中$c_s$为声速。动力学摩擦比理想气体的动力学摩擦小同样的$c_s/c \ll 1$倍，也比钱德拉塞卡针对无碰撞粒子的结果小$c_s/(cC)$倍，其中$C$为库仑对数。它还比模糊暗物质的动力学摩擦小$v_0/c \ll 1$倍。
英文摘要：
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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