Mach Patryk, Odrzywołek Andrzej
Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński, Łojasiewicza 11, 30-348 Kraków, Poland.
Phys Rev Lett. 2021 Mar 12;126(10):101104. doi: 10.1103/PhysRevLett.126.101104.
We investigate accretion of dark matter onto a moving Schwarzschild black hole. The dark matter is modeled by the collisionless Vlasov gas, assumed to be in thermal equilibrium at infinity. We derive an exact stationary solution and provide a compact formula for the mass accretion rate. In general, the mass accretion rate is a nonmonotonic function of the black hole velocity. A monotonic relation (the accretion rate proportional to the Lorentz factor associated with the velocity of the black hole) is obtained for high asymptotic temperatures of the gas. The derived accretion rates are relevant for the growth of primordial black holes in the early Universe.
我们研究了暗物质在一个运动的史瓦西黑洞上的吸积。暗物质由无碰撞的弗拉索夫气体建模，假定其在无穷远处处于热平衡状态。我们推导了一个精确的稳态解，并给出了质量吸积率的简洁公式。一般来说，质量吸积率是黑洞速度的非单调函数。对于气体的高渐近温度，可得到一个单调关系（吸积率与与黑洞速度相关的洛伦兹因子成正比）。所推导的吸积率与早期宇宙中原始黑洞的增长有关。
