标题： 视界附近史瓦西黑洞周围的冷等离子体色散关系 显示英文标题

标题： Cold Plasma Dispersion Relations in the Vicinity of a Schwarzschild Black Hole Horizon

摘要： 我们将ADM 3+1形式应用于推导冷等离子体在空间平坦的Schwarzschild度规中的广义相对论磁流体动力学方程。 各自的扰动方程对于非磁化和磁化等离子体在非旋转和旋转背景中都进行了线性化。 然后对其进行傅里叶分析，得到相应的色散关系。 这些关系被讨论以确定视界附近具有正角频率波的存在性。 我们的结果支持无法从Schwarzschild黑洞提取信息这一事实。 结论是，在旋转背景中负相速度传播，无论黑洞是否旋转。 显示英文摘要

摘要： We apply the ADM 3+1 formalism to derive the general relativistic magnetohydrodynamic equations for cold plasma in spatially flat Schwarzschild metric. Respective perturbed equations are linearized for non-magnetized and magnetized plasmas both in non-rotating and rotating backgrounds. These are then Fourier analyzed and the corresponding dispersion relations are obtained. These relations are discussed for the existence of waves with positive angular frequency in the region near the horizon. Our results support the fact that no information can be extracted from the Schwarzschild black hole. It is concluded that negative phase velocity propagates in the rotating background whether the black hole is rotating or non-rotating.