Oscillatory Character of Reissner-Nordstrom Metric for an Ideal Charged Wormhole
Oscillatory Character of Reissner-Nordstrom Metric for an Ideal Charged Wormhole
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理想带电虫洞 Reissner-Nordstrom 度量的振荡特性
DOI：
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发表时间：
1960
期刊：
影响因子：
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通讯作者：
D. Brill
中科院分区：
文献类型：
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作者：
J. C. Graves;D. Brill
提出了一种变换来从特定类的度量中去除坐标（“伪”）奇点，其特殊情况是克鲁斯卡尔变换，将史瓦西度量扩展到其伪奇点之外。该变换应用于 Reissner-Nordstrom 度量，该度量描述了广义相对论中的电荷和质量浓度。在初始表面上，该度量显示了与史瓦西度量相同的一般行为，描述了两个渐近平坦空间之间的“虫洞”或桥梁，但电通量流经虫洞。研究发现，最小半径的区域，即所谓的虫洞“喉咙”，开始收缩，但在有限的适当时间后达到最小值并重新膨胀，而不是像史瓦西-克鲁斯卡情况那样被掐断：喉咙的半径随时间周期性地脉动，受到穿过喉咙的电场的麦克斯韦压力的“缓冲”。研究了该度量中带电粒子的运动，结果表明，在 r=0 时，没有粒子能够撞击几何奇点； (1) 一般而言，只要测试粒子的质量超过广义相对论中与其电荷相关的值，以及 (2) 特别是当测试粒子根本不带电荷时，但 (3) 当喉部本身不具有任何电通量时，无法避免这种碰撞。
A transformation is presented to remove coordinate ("pseudo") singularities from metrics of a certain class, a special case of which is the transformation of Kruskal, extending the Schwarzschild metric beyond its pseudosingularity. The transformation is applied to the Reissner-Nordstrom metric, which describes a concentration of charge and mass in general relativity. On an initial surface this metric shows the same general behavior as the Schwarzschild metric, describing a "wormhole," or bridge, between two asymptotically flat spaces, but with electric flux flowing through the wormhole. It is found that the region of minimum radius, the so-called "throat" of the wormhole, begins to contract, but reaches a minimum and re-expands after a finite proper time, rather than pinching off as in the Schwarzschild-Kruskal case: the raduis of the throat pulsates periodically in time, "cushioned" by Maxwell pressure of the electric field through the throat. The motion of charged particles in this metric is investigated, and it is shown that no particle can hit the geometric singularity at r=0; (1) quite in general, provided only that the mass of the test particle exceeds the value associated in general relativity with its charge, and (2) in particular when the test particle has no charge at all, but (3) such collisions are not avoided when the throat itself is not endowed with any electric flux.