刚性状态方程下运动黑洞的吸积
Accretion onto a moving black hole for stiff equations of state
- Bowdoin College(博多因学院)
- University of Illinois at Urbana-Champaign(伊利诺伊大学厄巴纳-香槟分校)
机构由 AI 辅助整理,请以论文原文为准。
AI总结:
本文通过数值模拟研究刚性绝热指数下运动Schwarzschild黑洞对均匀流体的相对论性吸积,识别亚声速与超声速区间内吸积率和拖曳率的变化,并提出解析近似描述其依赖关系。
AI中文摘要:
我们重新审视了渐近均匀流体向运动中的Schwarzschild黑洞的吸积,这是Bondi-Hoyle-Lyttleton吸积的相对论类比。在先前研究的基础上,我们重点研究了绝热指数$\Gamma \geq 5/3$的刚性流体的相对论性吸积,这对于中子星捕获原初黑洞的处理尤为重要。我们进行了数值模拟,系统地探索了稳态吸积率和拖曳率对渐近声速$a_\infty$和相对速度$v_\infty$的依赖关系,并识别了不同的亚声速和超声速区间,在这些区间内,这些速率相对于$v_\infty = 0$时的球对称吸积率要么增加要么减少。我们提出了简单的解析近似,以捕捉所观察到的吸积率和拖曳率对$a_\infty$和$v_\infty$依赖性的定性特征。
英文摘要:
We revisit accretion of an asymptotically uniform fluid onto a moving Schwarzschild black hole, the relativistic analog of Bondi-Hoyle-Lyttleton accretion. Expanding on previous treatments, we focus on relativistic accretion of stiff fluids with adiabatic indices $Γ\geq 5/3$, which is particularly relevant for the treatment of primordial black holes captured by neutron stars. We perform numerical simulations to systematically explore the dependence of the steady-state accretion and drag rates on the asymptotic sound speed $a_\infty$ and relative speed $v_\infty$, and identify different regimes, both subsonic and supersonic, in which these rates either increase or decrease with respect to the spherical accretion rate for $v_\infty = 0$. We propose simple analytical approximations that capture the qualitative features observed in the dependence of the accretion and drag rates on $a_\infty$ and $v_\infty$.