Reissner-Nordström时空中中性测试粒子的圆周运动
Circular motion of neutral test particles in Reissner-Nordström spacetime
摘要：
研究了中性粒子在Reissner-Nordström（RN）时空描述的带电荷质量$Q$的质量$M$引力场的运动.我们主要研究围绕黑洞或裸奇点的圆稳定和不稳定轨道。我们表明，在经典半径，定义为$Q^2/M$，存在轨道的角动量为零，由于排斥引力的存在。圆轨道的稳定性分析表明，黑洞具有连续稳定区域的特征。在裸奇点的情况下，稳定区域可以分裂成两个不连通的区域，在这两个区域内，测试粒子沿着稳定的圆形轨道运动。
英文摘要：
We investigate the motion of neutral test particles in the gravitational field of a mass $M$ with charge $Q$ described by the Reissner-Nordström (RN) spacetime. We focus on the study of circular stable and unstable orbits around configurations describing either black holes or naked singularities. We show that at the classical radius, defined as $Q^2/M$, there exist orbits with zero angular momentum due to the presence of repulsive gravity. The analysis of the stability of circular orbits indicates that black holes are characterized by a continuous region of stability. In the case of naked singularities, the region of stability can split into two non-connected regions inside which test particles move along stable circular orbits.
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