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arXiv 1001.0949gr-qchep-thmath.AP
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耦合Einstein和麦克斯韦方程组的带电宇宙学尘埃解

Charged cosmological dust solutions of the coupled Einstein and Maxwell equations

Joel Spruck, Yisong Yang

摘要:

众所周知,通过Majumdar、Papapetrou、Hartle和Hawking的工作,耦合的Einstein和麦克斯韦方程组允许静态多黑洞解,其代表多个点电荷的平衡平衡态。这是在明确的质荷比条件下,引力和电斥力精确抵消的结果。由此产生的粒子质点系,被称为极带电尘埃,产生了具有裸奇点的时空的例子。在本文中,我们考虑连续极限的Majumdar-Papapetrou-Hartle-Hawking解决方案模拟的空间所占据的扩展分布的极端带电的灰尘。我们表明,对于一个给定的光滑分布的有限ADM质量的物质,有一个连续的家庭的光滑的解决方案,实现渐近平坦的空间度量。

英文摘要:

It is well known through the work of Majumdar, Papapetrou, Hartle, and Hawking that the coupled Einstein and Maxwell equations admit a static multiple blackhole solution representing a balanced equilibrium state of finitely many point charges. This is a result of the exact cancellation of gravitational attraction and electric repulsion under an explicit condition on the mass and charge ratio. The resulting system of particles, known as an extremely charged dust, gives rise to examples of spacetimes with naked singularities. In this paper, we consider the continuous limit of the Majumdar--Papapetrou--Hartle--Hawking solution modeling a space occupied by an extended distribution of extremely charged dust. We show that for a given smooth distribution of matter of finite ADM mass there is a continuous family of smooth solutions realizing asymptotically flat space metrics.

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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