Abstract We study the equilibrium magnetic field structure of relativistic hot fluid near the Schwarzschild black hole under the local approximation of background spacetime. The ratio between gravity modified Lagrange multiplier α 0 μ and characteristic skin depth λ f turns out to be the determinant feature of the diamagnetic content in plasma. Plasmas near Schwarzschild event horizon show perfectly diamagnetic behavior, a state of zero generalized vorticity and helicity, when the ratio is zero and transitions into a non-diamagnetic state at a critical value of 2. The local approximation, in which space is cartesian, facilitates us to compare the result with its classical counterpart, and we find that the classical plasma decorrelation length μ (normalized to the skin depth) is stretched for smaller values of α 0 . Also, the skin depth of the charged fluid can vary with temperature which is absent in classical plasma.

中文翻译：

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对 Schwarzschild 事件视界附近等离子体的抗磁状态进行分类：局部近似

摘要 我们研究了背景时空局部逼近下史瓦西黑洞附近相对论性热流体的平衡磁场结构。重力修正拉格朗日乘数 α 0 μ 与特征趋肤深度 λ f 之间的比率被证明是等离子体中抗磁性含量的决定性特征。Schwarzschild 事件视界附近的等离子体表现出完美的抗磁行为，一种零广义涡度和螺旋度的状态，当比率为零并在临界值为 2 时转变为非抗磁状态。 局部近似，其中空间是笛卡尔，有利于我们将结果与其经典对应物进行比较，我们发现经典等离子体去相关长度 μ（归一化为趋肤深度）对于较小的 α 0 值进行了拉伸。还，