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arXiv 0706.1981gr-qchep-th
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广义相对论中两个带电质量的平衡位形

Equilibrium configurations of two charged masses in General Relativity

G. A. Alekseev, V. A. Belinski

摘要:

本文给出了描述两个非极值Reissner-Nordström源在平衡状态下的场的Einstein-麦克斯韦方程组的渐近平坦静态解。它是用源的物理参数(质量、电荷和分离距离)来表示的。非常简单的分析形式的解决方案,以及为平衡条件,保证没有任何支柱的对称轴。这个条件表明,对于两个黑洞或两个裸奇点,平衡是不可能的。然而,当其中一个源是黑洞而另一个源是裸奇点时,在两个源相隔一定距离的情况下,平衡是可能的。有趣的是,对于适当选择的参数,甚至史瓦西黑洞和裸奇点都可以自由地"悬浮"在它们的场的叠加中。

英文摘要:

An asymptotically flat static solution of Einstein-Maxwell equations which describes the field of two non-extreme Reissner - Nordström sources in equilibrium is presented. It is expressed in terms of physical parameters of the sources (their masses, charges and separating distance). Very simple analytical forms were found for the solution as well as for the equilibrium condition which guarantees the absence of any struts on the symmetry axis. This condition shows that the equilibrium is not possible for two black holes or for two naked singularities. However, in the case when one of the sources is a black hole and another one is a naked singularity, the equilibrium is possible at some distance separating the sources. It is interesting that for appropriately chosen parameters even a Schwarzschild black hole together with a naked singularity can be "suspended" freely in the superposition of their fields.

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。

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