标题： 关于克尔度规中两组分等离子体的磁流体动力学描述 显示英文标题

标题： On the magnetohydrodynamic description of a two-component plasma in the Kerr metric

摘要： 描述旋转黑洞附近无粘性完全电离等离子体的磁流体动力学方程是从克尔度规的3+1分解框架内的两组分等离子体理论导出的。 核心关注的是广义欧姆定律。 在准中性等离子体极限下，与狭义相对论相比，它不包含新的项。 只有当等离子体在其静止参考系中带电或未应用磁流体动力学近似时，引力磁项才会出现在欧姆定律中。 认为只有对于冷（即本质上非相对论性）组分，才可能对多组分等离子体进行相对论性的单流体描述。 对于靠近视界处的局部静止观测者来说，电子碰撞时间变得比动力学时间尺度更长，即等离子体似乎表现出粒子的行为。 显示英文摘要

摘要： The magnetohydrodynamic equations describing an inviscid, fully ionized plasma in the vicinity of a rotating black hole are derived from a two-component plasma theory within the framework of the 3+1 split of the Kerr metric. Of central interest is the generalized Ohm's law. In the limit of quasi-neutral plasma it contains no new terms as compared with special relativity. Gravitomagnetic terms appear in Ohm's law only if the plasma is charged in its rest frame or the magnetohydrodynamic approximation is not applied. It is argued that a relativistic single-fluid description of a multiple-component plasma is possible only for cold (i.e. intrinsically non-relativistic) components. As seen by local stationary observers, close to the horizon the electron collision time becomes longer than dynamical timescales, i.e. the plasma appears to behave as particles.