点电荷与虫洞的静电相互作用
Electrostatic interaction of a pointlike charge with a wormhole
摘要:
一个点状的电荷在休息被认为是一个虫洞连接两个否则闵可夫斯基空间的时空。潜力(i. e.麦克斯韦方程组的解)被分成两部分:其中一部分仅取决于电荷的值和位置,而另一部分则相反,当电荷准静态地移动时不改变。相应地,前者被解释为由电荷产生,后者被解释为无源。结果表明,所有的无源电位不同的流量通过喉(没有“多极无多极”),这使得一个解释为“电荷”的虫洞与惠勒的概念一致的流量“电荷无电荷”。由电荷产生的电势不同于库仑电势,因此即使在没有无源场的情况下,也有一个力(称为“自作用力”)作用在电荷上。这个力是在喉道长度消失的极限内明确地发现的。结果与Khusnutdinov和Bakhmatov最近得到的结果不同。
英文摘要:
A pointlike electric charge at rest is considered in the spacetime which is a wormhole connecting two otherwise Minkowskian spaces. The potential (i. e. a solution of the Maxwell equations) is split into two parts: one of them depends only on the value and location of the charge, while the other, on the contrary, does not change when the charge is quasistatically moved. Correspondingly, the former is interpreted as being generated by the charge, and the latter as being source-free. It is shown that all source-free potentials differ in the flux through the throat (no "multipoles without multipoles"), which enables one to interpret the flux as the "charge" of the wormhole in agreement with Wheeler's concept of "charge without charge". The potential generated by the charge differs from Coulomb's and thus a force (called "self-force") acts on the charge even in the absence of the source-free field. This force is found explicitly in the limit of vanishing throat length. The result differs from that obtained recently by Khusnutdinov and Bakhmatov.
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