论文标题
在Kerr Black Hole的赤道平面中的相对论Vlasov气体的积聚
Accretion of the relativistic Vlasov gas in the equatorial plane of the Kerr black hole
论文作者
论文摘要
我们研究了无碰撞的弗拉索夫气体的固定积聚到赤道平面上的Kerr黑洞上。通过施加渐近边界条件来指定该溶液：在无穷大时，气体遵守麦克斯韦 - 朱斯特纳分布，仅限于赤道平面（无论是位置还是在动量）。在黑洞附近，气体的运动受到时空几何形状的控制。我们计算剩余质量，能量和角动量的增生速率，以及颗粒数表面密度，重点是这些数量对气体的渐近温度和黑洞旋转的依赖性。由黑洞质量和适当的渐近表面密度归一化的静电量和能量吸积率随着渐近温度的升高而增加。积聚减慢了黑洞的旋转。
We investigate stationary accretion of the collisionless Vlasov gas onto the Kerr black hole, occurring in the equatorial plane. The solution is specified by imposing asymptotic boundary conditions: at infinity the gas obeys the Maxwell-Jüttner distribution, restricted to the equatorial plane (both in positions and momenta). In the vicinity of the black hole, the motion of the gas is governed by the spacetime geometry. We compute accretion rates of the rest-mass, the energy, and the angular momentum, as well as the particle number surface density, focusing on the dependence of these quantities on the asymptotic temperature of the gas and the black hole spin. The rest-mass and energy accretion rates, normalized by the black hole mass and appropriate asymptotic surface densities of the gas, increase with increasing asymptotic temperature. The accretion slows down the rotation of the black hole.
