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arXiv 0705.4066gr-qc
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一个带电的尘埃球能穿过Reissner-Nordström虫洞吗？

Can a charged dust ball be sent through the Reissner--Nordström wormhole?

Andrzej Krasiński, Krzysztof Bolejko

备注：
30 pages, 21 figures; several corrections after referee's comments, 4 figures modified
发表信息：
Phys.Rev.D76:124013,2007
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摘要：

在以前的论文中，我们制定了一套必要的条件，球对称弱带电尘埃，以避免大爆炸/大紧缩，壳交叉和永久中心奇点。然而，我们没有讨论能量密度的性质，其中一些是令人惊讶的，似乎还没有被知道到现在。无限能量密度的奇点确实存在--它是位于对称中心的世界线上的一个点奇点。因此，如果质量壳最初有$R > 0$，则没有质量壳坍缩到$R = 0$的条件仍然不足以避免奇点。此外，在奇点处能量密度$ε$是方向相关的：当我们沿着$t =$常数超曲面接近奇点时是$ε\to - \infty$，当我们沿着对称中心接近奇点时是$ε\to + \infty$。负能量密度区域的出现是不可避免的。我们讨论我们的配置的这个属性的各个方面。我们还表明，一个永久的脉动配置，与脉动的周期独立的质量，是可能的，只有当存在一个永久的中心奇点。

英文摘要：

In a previous paper we formulated a set of necessary conditions for the spherically symmetric weakly charged dust to avoid Big Bang/Big Crunch, shell crossing and permanent central singularities. However, we did not discuss the properties of the energy density, some of which are surprising and seem not to have been known up to now. A singularity of infinite energy density does exist -- it is a point singularity situated on the world line of the center of symmetry. The condition that no mass shell collapses to $R = 0$ if it had $R > 0$ initially thus turns out to be still insufficient for avoiding a singularity. Moreover, at the singularity the energy density $ε$ is direction-dependent: $ε\to - \infty$ when we approach the singular point along a $t =$ const hypersurface and $ε\to + \infty$ when we approach that point along the center of symmetry. The appearance of negative-energy-density regions turns out to be inevitable. We discuss various aspects of this property of our configuration. We also show that a permanently pulsating configuration, with the period of pulsation independent of mass, is possible only if there exists a permanent central singularity.

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