弱磁场中的Joshi--Malafarina--Narayan奇点
Joshi--Malafarina--Narayan singularity in weak magnetic field
AI总结：
本研究推导了球对称度规中测试磁场的控制方程，分析了JMN-1奇点在弱磁场中的磁场行为，发现匹配面处磁场切向分量不连续产生表面电流，并研究了带电粒子的质心能量。
摘要：
磁场在天体物理场景中的重要性和意义是众所周知的。天体物理黑洞物理的许多领域，如偏振阴影图像、高能发射过程和喷流形成，都依赖于致密天体附近磁场的行为。鉴于此，我们确定了主方程和主微分方程，这些方程决定了在一般球对称度规的物质分布或真空区域内，浸没在测试磁场中的磁场的空间行为。我们还研究了浸没在均匀弱磁场中的JMN-1奇点的情况，并通过定义电磁四势矢量来确定磁场的行为。我们发现，在JMN-1奇点与外部史瓦西度规的匹配表面上，磁场的切向分量是不连续的，导致表面电流的产生。我们在此场景中定义了表面电流密度的协变表达式。我们还分析了在磁化的JMN-1奇点几何中，两个带相反电荷粒子的质心能量行为。我们简要讨论了可能具有不连续磁场的可能场景及其影响，并指出了天体物理领域的未来可能性。
英文摘要：
The importance and significance of magnetic fields in the astrophysical scenario is well known. Many domains of astrophysical black hole physics such as polarized shadow image, high energy emitting processes and jet formation are dependent on the behavior of the magnetic fields in the vicinity of the compact objects. In light of this, we determine the master equation and master differential equation that determine the spatial behavior of the magnetic field inside a matter distribution or vacuum region, of general spherically symmetric metric, which is immersed in a test magnetic field. We also investigate here the case of JMN-1 singularity immersed in a uniform weak magnetic field and determine the behavior of magnetic fields by defining electromagnetic four potential vector. We find that the tangential component of the magnetic field is discontinuous at the matching surface of the JMN-1 singularity with the external Schwarzschild metric, resulting in surface currents. We define the covariant expression of surface current density in this scenario. We also analyze the behavior of center-of-mass energy of two oppositely charged particles in the geometry of the magnetized JMN-1 singularity. We briefly discuss the possible scenarios which would possess a discontinuous magnetic field and implications of the same and future possibilities in the realm of astrophysics are indicated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
